BOOKSHELVES A bookshelf consists of two vertical planks with five horizontal shelves. Are each of the four sections for books rectangles? Explain.

Answers

Answer 1

Yes, each of the four sections for books is a rectangle because all four sides of the section are straight lines and the opposite sides are the same length.

Are each of the four sections for books rectangles?Yes, each of the four sections for books would be rectangles. A rectangle is a four-sided figure with four right angles, meaning that all of the angles measure 90 degrees. In the case of a bookshelf, the two vertical planks and the five horizontal shelves form a rectangle because the angles between the two planks and the five shelves are all right angles.The top section of the bookshelf is the first rectangle. It is formed between the top horizontal shelf and the two vertical planks. The second rectangle is formed between the second shelf from the top and the two vertical planks. The third rectangle is formed between the third shelf from the top and the two vertical planks. Finally, the fourth section is formed between the fourth shelf from the top and the two vertical planks.Each of the four sections of the bookshelf is a rectangle because the angles between the two vertical planks and the five horizontal shelves are all right angles. The two vertical planks form the length of the rectangle, while the five horizontal shelves form the width. This makes all four sections of the bookshelf a rectangle.

To learn more about A rectangle refer to:

https://brainly.com/question/2607596

#SPJ1


Related Questions

How do you do this problem

Answers

Answer: C)39

Step-by-step explanation:

6x+507+317+3x=122

9x+824=122

9x=122-824

9x=-702

x=-78

6x+507

6(-78)+507

-468+507

=39

answer choices:
x=22
x=68
x=90
x=112

Answers

Answer: I think x=22.

Step-by-step explanation:

If you look at half of the circle you can see a line in it right? This line measures to 180 degrees. This is a right triangle. Usually triangles have a little box in the corner to tell you that is it indeed a right triangle. I don't know why this one doesn't. anyways, if you add 90+68, you get 158. Now you need to get to 180 by simply adding 22. Thats why i think the answer is 22. Sorry if im wrong.

You are traveling west on the highway. At 1:00 you pass kilometer marker 485. At 4:30 you pass kilometer marker 154. What has your average velocity been.

technically a physical science question but i didn't know what to label it.

Answers

The average velocity is 94.6km / hour

What is average velocity?

Average velocity is defined as the change in position or displacement (∆x) divided by the time intervals (∆t) in which the displacement occurs. The average velocity can be positive or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

therefore average velocity = change in displacement / change in time

change in displacement = 485 - 154 = 331 km

change in time = 4:30-1:00 = 3 hours 30minutes = 3½ hrs

average velocity = 331/3.5

= 94.6km/hour

learn more about average velocity from

https://brainly.com/question/24739297

#SPJ1

Target is having a sale, Every item in the store is 20% off the orignal price . if a tvs oringal price is 250$ , what was the sale price

Answers

The final sales price is equal to $200.

What is a percentage?

In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.

In order to decrease 250 dollars by 20 percent (20%), we would have to multiply the given amount of money by 80 percent (80%) because it denotes a percentage decrease:

Percentage decrease = 250 × 80/100

Percentage decrease = 250 × 0.8

Percentage decrease = $200.

Read more on percentage here: brainly.com/question/11360390

#SPJ1

I buy 4 gallons of milk at the grocery store. Each gallon sells for $3. 50. Is this relationship a function? Justify your claim

Answers

Yes, this relationship is a Funtion.

The relationship between the no of gallons of milk purchased and the total cost can be represented by this equation:
y = 3.5x

where y is the total cost  and x represents the number of gallons of milk purchased. A function is a collection of ordered pairs (x, y) with exactly one value of y for each value of x. for each input (x), just one output (y) is created.


In this situation, there is only one equivalent value of y for each value of x .We may see this by putting different value of x into the equation and get ing a different result for y.
For example, when x = 1, y = 3.5 ×1 = 3.5
when x = 2, y = 3.5 × 2 = 7
when x = 3, y = 3.5 × 3 = 10.5
and so on.


So, the relationship between the number of gallons of milk purchased and the total cost is a Funtion.

To learn more about Relation and functions:

https://brainly.com/question/10439235

https://brainly.com/question/24779057

#SPJ4

During a single day at radio station WMZH, the probability that a particular song is
played is 23%. What is the probability that this song will be played on at least 2 days
out of 4 days? Round your answer to the nearest thousandth.

Answers

The probability that this song will be played on at least 2 days out of 4 days is 40.71%.

How to calculate the probability?

To calculate the probability that a song will be played on at least two days, you would need to find the probability that it is not played on any of the days (the complement) and then subtract that from 1.

The probability that a song is not played on a given day is 1 - 0.23 = 0.77. To find the probability that it is not played on at least two days, you would raise that probability to the power of the number of days, in this case 2.

So, 0.77^2 = 0.5929. To find the probability that it is played on at least two days, you would subtract that from 1: = 1 - 0.5929

= 0.4071

=40.71%.

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

What do I put in the boxes

Answers

Step-by-step explanation:

6

7 47

42

-------

R 5

47 ÷ 7 = 6.71428571429

Give your answer in point notation with the x and y coordinates. If there are
multiple solutions, separate the answers with commas and no spaces. For example,
if your answers are (0,2) and (-3,1), you would type it as: (0,2),(-3,1). Order does not
matter.
V
N
AV

Answers

The points (2,2) and (-2,2) are both solutions to the equation y=2.

A coordinate pair(2,2),(3,1)When solving a system of equations, one way to find the solution is by graphing.To graph the given system of equations, start by plotting the two equations on the coordinate plane.The first equation, x + y = 4, can be written in the form y = -x + 4.Plot this line on the coordinate plane, with any two points that satisfy the equation. In this case, the two points could be (0,4) and (4,0).Plot the second equation, x - y = 2, in the same way.This line can be written in the form y = x - 2.Plot two points that satisfy this equation, such as (0,-2) and (2,0).After plotting the two lines, look for the point of intersection, which is the solution to the system.In this case, the point of intersection is (2,2) and (3,1).Therefore, the solution to the system is (2,2),(3,1).This equation is a line that has a y-intercept of 2, meaning that the line crosses the y-axis at the point (0,2). The slope of the line is 0, meaning that the line is vertical and does not cross the x-axis.Therefore, any point along this line will have the same y-coordinate, which in this case is 2. In other words, for any given x-coordinate, the y-coordinate will always be 2. This means that both (2,2) and (-2,2) are valid solutions for the equation y=2.

To learn more about a coordinate pair refer to:

https://brainly.com/question/11139505

#SPJ1

Question #14:

Brandon is filling a flower bed with soil. The flower bed is shaped like a rectangular prism and

measures 15 feet long and 3 feet tall. If it holds 405 cubic feet of soil, how many feet wide is

Brandon's flower bed?

Answers

The width of rectangular prism shaped Brandon's flower bed is 9 meters.

As per the known information, the formula to calculate volume of rectangular prism is -

Volume of rectangular prism = length × width × height

Keep the values in formula to find the volume of rectangular prism

405 = 15 × 3 × width of rectangular prism

Performing multiplication on Right Hand Side of the equation

405 = 45 × width of rectangular prism

Rewriting the equation

Width of rectangular prism = 405/45

Performing division

Width of rectangular prism = 9 meters

Thus, the width is 9 meters.

Learn more about rectangular prism -

https://brainly.com/question/24284033

#SPJ4

The bug has friends in nearby trees.
For each description, write equations similar to Problem 2.
Assume each bug starts at the same position as the bug in Problem 2.

Answers

1. The equation when Buggo crawls did 28 minutes at a rate of -2 centimeters per minute will be x = -2 × 28

2. The equation when Buggy slides for 3.2 seconds at -8.1 millimeters per second will be: y = -8.1 × 3.2

3. The equation when Buggum creeps for 3.5 seconds and finishes at -28.5 centimeters will be 3.5x = -28.5

How to solve the equation?

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

The equation when Buggo crawls did 28 minutes at a rate of -2 centimeters per minute will be:

Let x = total centimeters

x = -2 × 28

The equation when Buggy slides for 3.2 seconds at -8.1 millimeters per second will be:

Let y = ital millimeters

y = -8.1 × 3.2

The equation when Buggum creeps for 3.5 seconds and finishes at -28.5 centimeters will be 3.5x = -28.5

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Can you give me great examples of buildup, unit ratio, and cross multiplication for proportional relationships? I am trying to get an A on this test and dont want to mess up.​

Answers

Cross multiplying will help us identify the variable if it is the same variable that is present on both sides of the equation. Let's explain with the use of examples. Solve X/5 = 5/X, for instance.

What is cross multiplication in ratio and proportion?When you multiply the denominator of one ratio by the numerator of another, you get a cross product. In the event when the cross products are equal, the ratios are proportionate. In the case of ratios and, and are proportional and can be expressed as a b = c d.So 4×32=128. Moreover, we obtain the result 726=182 when we cross-multiply these two. The fact that 182 is greater than 128 enables us to conclude that 732 is greater than 426. The number we multiplied by our numerator symbolises the matching fraction, and we must always keep this in mind.For comparison of fractions, cross multiply. The most typical application of cross multiplication is the comparison of fractions. multiplying the numerator while paying closer attention to the procedure.

To learn more about Cross multiplying refer to:

https://brainly.com/question/28839233

#SPJ1

John is making apple pies and apple cobblers to sell at his stand at the Farmer's Market.


A pie uses 4 cups of apples and 3 cups of flour.

A cobbler uses 2 cups of apples and 3 cups of flour.

John has 16 cups of apples and 15 cups of flour.


When John sells the pies and cobblers at the Farmer's Market, he will make $3.00 profit per pie and $2.00 profit per cobbler.


Let x = the number of pies John makes.


Let y = the number of cobblers John makes.

Since John cannot make a negative number of pies or cobblers, what additional constraints exist on the variables?

Answers

Since John cannot make a negative number of pies or cobblers, the additional constraints that exist on the variables include the following:

B. x ≥ 0.

   y ≥ 0.

How to write an equation to model this situation?

In order to write an equation that model this situation, we would assign a variable to the number of pies John makes and the total number of cobblers John makes respectively, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of pies John makes.Let the variable y represent the total number of cobblers John makes.

However, it should be noted that John cannot make a negative number of pies or cobblers and as such, the number of pies he makes must be greater than or equal to zero (0) such as 0 pies, 1 pies, 2 pies, 3 pies, 4 pies, etc. Similarly, the aforementioned constrain applies to the number of cobblers John makes.

Read more on equation here: brainly.com/question/18912929

#SPJ1

Solve 35 / 2 using an area model. Use long division and the distributive property to record your work

Answers

Answer by solving the expression 35 /2 using different methods are:

a. Area model : 35 /2  can be expressed as 17. 5 + 17.5 .(attached figure)

b. Long division method : 35 /2 = 17 + 1/2

c. Distributive property expressed as 35/2 = ( 34 + 1 ) × 1/ 2.

a. Area model.

Expression 35 /2 solved by area model is attached in the figure.

One part of 35 is divided into two parts each of 17.5 .

17.5 + 17.5 = 35

b. Long division.

How many 2's are there in 3

Answer is 1.

3−1⋅2=3−2=1

Write down the next digit of the dividend.

How many 2's are there in 15

Answer is 7

15−7⋅2=15−14=1.

( 35 /2 ) = 17 + ( 1/2)

c. Distributive property

35 /2

= ( 34 + 1 ) × 1/ 2

= 34 /2 + 1 /2

= 17  + 1 /2

= 17 + 0.5

= 17.5

Therefore, the solution of 35/2 using different methods are:

a. Using area model : 17.5 + 17.5  represent 35/2.

b. long division : 35 /2 = 17 + 1/2

c. Distributive property: 35/2 = ( 34 + 1 ) / 2

Learn more distributive property here

brainly.com/question/5637942

#SPJ4

Help w math homework pls

Answers

Part A - The area of the deck is approximately equal to 691.150 square feet.

Part B - The deck requires 3.379 gallons of weather treatment.

Part C - The weather treatment have a cost of $ 121.48.

How to determine the deck area around the pool

In this problem we must find the area of the deck around the pool, how many gallons of weather treatment are required and how much is needed to.

Part A - The area of the deck is a circular corona, whose formula is:

A = π · (R² - r²)

Where:

A - Area of the circular corona, in square feet.r - Inner radius, in feet.R - Outer radius, in feet.

If we know that r = 6 ft and R = 16 ft, then the area of the deck is:

A = π · [(16 ft)² - (6 ft)²]

A = 220π ft²

A ≈ 691.150 ft²

Part B - If we know that a gallon is effective for an area of 204.5 square feet, the number of gallons can be determined by cross multiplication:

x = (691.150 ft² / 204.5 ft²) × 1

x = 3.379

A number of 3.379 gallons are required for weather treatment.

Part C - The cost of the number of gallons (C), in monetary units, is equal to the product of the number of gallons (n), in gallons, and unit cost (c), in monetary units per gallon:

C = n · c

If we know that n = 3.379 gal and c = $ 35.95 / gal, then the cost of the number of gallons is:

C = (3.379 gal) · ($ 35.95 / gal)

C = $ 121.48

To learn more on areas of circles: https://brainly.com/question/16969543

#SPJ1

In a club with 99 male and 1616 female​ members, how many 77​-member committees can be chosen that have ​(a) all​ men? ​(b) all​ women? ​(c) 44 men and 33 ​women?

Answers

The probability for the question as per the information that has been provided, can be solved in the following manner:

a) Probability for picking an all men committee

P = picking a Male probability

= 99/1715

Now, P = picking a female probability

= 1616/1715

The number of 77-member committee is Binomial [1715,77]

The number of 77-member committee being male is Binomial [99,77]

The probability of 77 men committee is Binomial [1715,77] / Binomial [99,77] or 99C77/1715C77

b) Probability for picking an all women committee

P = picking a Male probability

= 99/1715

Now, P = picking a female probability

= 1616/1715

The number of 77-member committee is Binomial [1715,77]

The number of 77-member committee being women is Binomial [1616,77]

The probability of 77 men committee is Binomial [1715,77] / Binomial [1616,77] or 1616C77/1715C77

c) Probability for picking 44 men and 33 women

Desired set is 44 men and 33 women, which can be done in 99C44 and 1616C33 ways.

So, P(44 men and 33 women) = 99C44 × 1616C33 / 1715C77

To learn more about probability: https://brainly.com/question/13604758

#SPJ4

a survey was conducted on 218 undergraduates from duke university who took an introductory statistics course in spring 2012. among many other questions, this survey asked them about their gpa and the number of hours they spent and studying per week. based on this study, can we conclude that studying longer hours leads to higher gpas?

Answers

No, we cannot conclude that studying longer hours leads to higher GPAs based on this survey.

This survey only provides us with the average GPAs and average hours per week spent studying for a sample of 218 undergraduates from Duke University who took an introductory statistics course in spring 2012. This is not enough information to draw a conclusion about the correlation between hours of study and GPA. To do this, we would need to look at the correlation between the two variables. To calculate the correlation, we would need the individual data points of the GPAs and hours of study for each respondent. We could then calculate the Pearson correlation coefficient and the significance of the correlation. This would provide us with a more definitive answer to our question.

Learn more about correlation here:

https://brainly.com/question/13956667

#SPJ4

243 (0) If 8; 2x; 2y forms an arithmetic sequence and 2x; 2y; 36 forms a geometric sequence determine the values of x and y.​

Answers

Answer:

  (x, y) = (0.5, -3)  or  (8, 12)

Step-by-step explanation:

You want x and y such that 8, 2x, 2y is an arithmetic sequence and 2x, 2y, 36 is a geometric sequence.

Arithmetic sequence

The difference of successive terms is a constant for an arithmetic sequence.

  2x -8 = 2y -2x

  2x -4 = y . . . . . . . . divide by 2, add x

Geometric sequence

The ratio of successive terms is a constant for a geometric sequence.

  2y/2x = 36/2y

  y² = 18x . . . . . . . . . simplify and cross multiply

Solution

We can substitute the expression for y from the arithmetic sequence into the expression for y² in the geometric sequence:

  (2x -4)² = 18x

  4x² -16x +16 = 18x . . . . . expand

  2x² -17x +8 = 0 . . . . . . . divide by 2, subtract 9x

  (2x -1)(x -8) = 0 . . . . . . . factor

The values of x that make the factors zero are x = 1/2 and x = 8. The corresponding values of y are 2{1/2, 8} -4 = {1, 16} -4 = {-3, 12}.

The values of x and y are (1/2 and -3) or (8 and 12).

__

Additional comment

The two sequences are ...

  8, 1, -6  and  1, -6, 36 — difference of -7, ratio of -6

or

  8, 16, 24  and  16, 24, 36 — difference of 8, ratio of 3/2

true or false: a parallel gateway with three sequence flows would have three tokens leaving the gateway.

Answers

A parallel gateway with three sequence flows would have three tokens leaving the gateway - True.

Reason: Each path has a token.

A parallel gateway can synchronize or merge the parallel flows once more, or split the sequence flow into two or more parallel flows. Awaiting the arrival of all incoming sequence flows is synchronization. After that, the flow resumes.

Instead, two concurrent jobs in a business flow are represented by a parallel gateway. In a UML activity diagram, it is equivalent to a fork. The business process in the example below uses a parallel gateway because the company is trying to have its cake and eat it too. With Lucid chart, diagramming is quick and simple.

For such more question on sequence:

brainly.com/question/14689870

#SPJ4

I need help with the x and y intercepts I’m to exhausted to comprehend anything please help me

Answers

The solutions to the x and y intercepts are;

1) The slope will be positive.

2) The student is incorrect because (0, 5) is not the x-intercept.

3) The point at which the graph crosses the x axis is; x = 2

4) The point at which the graph crosses the y axis is; y = 6

5) x-intercept is x = 4 and the y-intercept is; y = 2

6) The x-intercept is x = 6 and the y-intercept is; y = 2

7) The x-intercept is x = 2 and the y-intercept is; y = 10

How to find the x and y-intercepts?

1) The formula for the slope of a graph is;

Slope = Change in y value/change in x value

Thus, if both x and y intercepts are negative, then the slope will be positive.

2) The equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

The equation can be rewritten as;

y = -¹/₂x + 5

At y =0,

0 = -¹/₂(x) + 5

x = 8

Thus, (0, 5) is not the x-intercept.

3) The point at which the graph crosses the x axis is the x-intercept which is when y = 0. Thus;

2x + 0 = 4

2x = 4

x = 2

4) The point at which the graph crosses the y axis is the y-intercept which is when x = 0. Thus;

3(0) + y = 6

y = 6

5) 2x + 4y = 8

x-intercept; 2x + 4(0) = 8

x = 4

y-intercept; 2(0) + 4y = 8

y = 2

6) x + 3y = 6

x-intercept; x + 3(0) = 6

x = 6

y-intercept; 0 + 3y = 6

y = 2

7) 5x + y = 10

x-intercept; 5x + 0 = 10

x = 2

y-intercept; 5(0) + y = 10

y = 10

Read more about x and y intercepts at; https://brainly.com/question/24363347

#SPJ1

A number increased by 15 is greater than 124. Find the smallest integer that satisfies the inequality.

Answers

The smallest integer that satisfies the inequality is 110

How to find the smallest integer to satisfy the inequality

The least number is calculated by first generation g the inequality equation

The statement "A number increased by 15 is greater than 124" is written in an equation form, assuming the number is x

x + 15 > 124

Solving for x with the generated expression

x + 15 > 124

isolating x

x + 15 - 15 > 124 - 15

x > 124 - 15

x > 109

since x is greater than 109 the least integer greater than 109 is 110

Learn more about inequality :

https://brainly.com/question/24372553

#SPJ1

Nick is splitting 3 quarts of ice cream with 15 members of thw team. If the ice cream is split evenly how many cups will each person get 1 quart equals=
whixh equals = _cups
so 3 quarts equaks _cups divibg thw ice cream among _ people means each gets _ cups

Answers

1 quart equals 2 pints, which equals 4 cups, so 3 quarts equals 12 cups. Dividing the ice cream among 15 people means each gets 1 3/12 cup(s).

Nick has 3 quarts of ice and he wants to split it with 15 members of the team.

To solve this, we have to convert quarts to cups. We have that:

1 quart = 2 pints

and 1 pint = 2 cups

This means that:

1 quart = 2 × 2 cups

1 quart = 4 cups

So, 3 quarts will be:

3 quarts=3 × 4

3 quarts =12

Therefore, dividing the ice cream among 15 people would mean that we have to divide 12 cups by 15 people.

That is:

= 15/12

= [tex]1\frac{3}{12}[/tex]

To learn more about conversion of unit link is here

brainly.com/question/21867016

#SPJ4

The complete question is:

Nick is splitting 3 quarts of ice cream with 15 members of the team. If the ice cream is split evenly, how many cups will each person get?

Explain 1 quart equals _ pints, which equals _ cups, so 3 quarts equals _ cups. Dividing the ice cream among _ people means each gets _ cup(s).

Xander is making soup for his youth group's annual dinner party for the elderly people in their community. His group

leader told him to mix the number of cans of soup concentrate and the number of cans of water in the ratio

1:5. Construct a ratio table for all possible combinations of cans of soup concentrate and cans of water that will giv

Xander up to 24 total cans of heated soup to serve. Let s represent the number of cans of soup concentrate and let

w represent the number of cans of water.

Answers

The ratio table is presented below and a total of 4 cases of possible.

Given that,

s: the number of cans of soup concentrate

w: the number of cans of water

Ratio: 1:5

so w = 5s

Therefore,

s        w            Total cans of heated soup to serve

1          5                          6

2         10                         12

3         15                          18

4         20                         24

Therefore, a total of four cases are possible to make up to 24 total cans of heated soup to serve at the party.

To read more about Ratio:

https://brainly.com/question/30065467

#SPJ4

simplify the following monomials (-a²b)ª

Answers

Answer:

[tex]\displaystyle{(-1)^aa^{2a} b^a}[/tex]

Step-by-step explanation:

The following expression can be rewritten as:

[tex]\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a}[/tex]

In this case, we have to separate -1 out of a² since if a becomes even, the value of (-a)ª will become positive while (-a)ª becomes negative when a is odd.

We can apply the law of exponent when:

[tex]\displaystyle{\left(a \cdot b \cdot c \right)^m = a^m \cdot b^m \cdot c^m}[/tex]

Therefore:

[tex]\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a = (-1)^a\cdot a^{2a}\cdot b^a}\\\\\displaystyle{\left((-1)\cdot a^2 \cdot b\right)^a = (-1)^aa^{2a} b^a}[/tex]

This will make when a = even numbers, the expression is positive while negative when a is odd.

And no, the answer is not [tex]-a^{2a} b^a[/tex] since this will make the expression negative only but the problem can be positive when a = even number which is why we have to separate -1 out of -a² so that it meets the condition.

Hence, the answer is [tex]\displaystyle{(-1)^aa^{2a} b^a}[/tex]

A water sample shows 0. 097 grams of some trace element for every cubic centimeter of water. Owen uses a container in the shape of a right cylinder with a radius of 6. 7 cm and a height of 13. 3 cm to collect a second sample, filling the container all the way. Assuming the sample contains the same proportion of the trace element, approximately how much trace element has Owen collected? Round your answer to the nearest tenth

Answers

The amount of trace element collected by Owen is 59.3 g.

To calculate the amount of trace element collected by Owen, we first need to find the volume of the container. Given the radius of 6.7 cm and the height of 13.3 cm, the volume of the cylinder is given by:

V = π * r^2 * h = π * (6.7)^2 * 13.3 = 615.96 cm^3

Since there are 0.097 grams of the trace element per cubic centimeter of water, the amount of trace element in the container can be calculated as:

m = V * 0.097 g/cm^3 = 615.96 cm^3 * 0.097 g/cm^3 = 59.32 g

Rounding to the nearest tenth, the answer is 59.3 g.

To learn more about amount here:

https://brainly.com/question/28970975

#SPJ4

Please help the question is a photo! We need to find the area and we use 3.14 or 22/7

Answers

The area of the circular figure which is the top of a can drink with a diameter of 3 inches is about 7.065 square inches

What is a circular figure?

A circular figure is one that has no edges or sharp corners, and which is essentially round (in the form of a disc or the path described by rotary motion) in shape.

A circular object occupies the largest area per diagonal compared to other regular shapes, as the circular inscribes other regular shapes within its circumference.

The shape in the figure is a circle

The diameter of the circle, D = 3 in.

The formula for finding the area of a circle, A, for which the diameter is presented as follows;

Area of the circle, A = π·D²/4

The approximation of the value of π to be used are 3.14 or 22/7

The area is obtained by plugging in the values of D and π in the formula for the area of a circle as follows;

The area of the figure is; A = 3.14 × 3²/4 = 7.065

The area of the figure is about 7.065 square inches

Learn more about the area of regular shapes here: https://brainly.com/question/3886316

#SPJ1

1/3y = 4 5/6
the options are
a. 1 11/8
b. 4 5/18
c. 12 5/6
d. 14 1/2

Answers

D. 14 1/2 because when originally that’s multiplication but you have to do the inverse of multiplication which is just division so you divide 4 5/6 by 1/3 and get 14 1/2 your welcome

PLEASE HELP!! 100 POINTS

Answers

Answer:

see explanation

Step-by-step explanation:

the total cost is dependent on the number of rides she takes, then

the number of rides is the independent variable and the total cost is the dependent variable.

----------------------------------------------------------------------------

(2)

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (- 4, 2 ) into the partial equation

2 = - 2(- 4) + c = 8 + c ( subtract 8 from both sides )

- 6 = c

y = - 2x - 6 ← equation of line

--------------------------------------------------------------------------

(3)

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 6 ) and (x₂, y₂ ) = (9, - 2 )

m = [tex]\frac{-2-6}{9-(-3)}[/tex] = [tex]\frac{-8}{9+3}[/tex] = [tex]\frac{-8}{12}[/tex] = - [tex]\frac{2}{3}[/tex] , then

y = - [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (9, - 2 )

- 2 = - [tex]\frac{2}{3}[/tex] (9) + c = - 6 + c ( add 6 to both sides )

4 = c

y = - [tex]\frac{2}{3}[/tex] x + 4 ← in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 2x + 12 ( add 2x to both sides )

2x + 3y = 12 ← equation in standard form

----------------------------------------------------------------------------

(4)

linear function has the form

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 200) and (x₂, y₂ ) = (2, 500) ← 2 ordered pairs from the table

m = [tex]\frac{500-200}{2-0}[/tex] = [tex]\frac{300}{2}[/tex] = 150

the ordered pair (0, 200 ) indicates that c = 200

y = 150x + 200 ← linear equation

--------------------------------------------------------------------------

(5)

money left over f(x) is

f(x) = initial amount - expenses

    = 125 - (15 + 40 + 5x)

    = 125 - (55 + 5x)

    = 125 - 55 - 5x

    = 70 - 5x

that is

f(x) = - 5x + 70

Determine whether each set of side lengths could be the sides of a right triangle.

Answers

The side length that could be a right triangle are

6 8 105 12 13

How to find out side lengths of right triangle

Applying Pythagoras theorem, for each side length we solve for the longest side in each case assuming the longest side is x

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

checking for 4 7 8

let x be the required distance

x² = 4² + 7²

x² = 16 + 49

x² =  65

x = √65

this is not a right triangle

checking for 6 8 10

let x be the required distance

x² = 6² + 8²

x² = 36 + 64

x² =  100

x = √100

x = 10

this is a right triangle

checking for 5 12 13

let x be the required distance

x² = 5² + 12²

x² = 25 + 144

x² =  169

x = √169

x = 13

this is a right triangle

Learn more on Pythagoras theorem here:

https://brainly.com/question/29241066

#SPJ1

Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 6) and (2, 0).
a.
Negative one-third
c.
3
b.
One-third
d.
Negative 3

Answers

Answer:

3

Step-by-step explanation:

The equation for slope is (y2-y1)/(x2-x1)

We have (0, -6) as our x1 and y1 and (2,0) as our y1 and y2. So now it's plug and play!

=(0-(-6))/(2-0)

=(0+6)/(2-0)

=(6)/(2)

Simplifying this we get 3/1 or in simple terms... 3

a square has side length of 7.37.3 inin. if the area is multiplied by 1919, what happens to the perimeter?

Answers

The perimeter should be multiplied by 1/3

The side length of the square, which is 7.3 inches,

The square's surface area

Side x Side is Area = 7.3 x 7.3 = 53.29

The square's new area is multiplied by 1/9,

so area is equal to

1/9 x 53.29 and s is equal to 2.4333.

Using the length of the new square as the new perimeter, the square's new perimeter is equal to 9.733 times its side times.

Now that we have calculated the perimeter ratios, we can see that the square's side length is 7.3.

the perimeter is equal to 7.3 times 4 and equals 29.12; nevertheless,

the ratio of the perimeters of the first and second lengths is equal to

29.12/9.733 and is

therefore 3:1.

so, perimeter multiplied by 1/3

To learn more about Perimeter :

https://brainly.com/question/14293748

#SPJ4

Other Questions
Can ya'll help real quick!How do we prevent Felony Murder? What does Maya Angelou refer to about her life with the phrase about people will forget what u said and did but never forget how you made them feel ?How was the quote relevant into her life ? The central dogma of molecular biology describes the two-step process, transcription and translation, by whichthe information coded in DNA is used to make proteins or polypeptides.Using the model presented, what is being formed, B, from the process represented by C? Correctly identify B andC as well as the proper relationship between the two.xABCDProteins (B) are being formed from the process of translation (C), in which DNA code is copiedinto mRNA in the nucleus.mRNA (B) is being formed in the nucleus using DNA in the process known as transcription (C).Proteins (B) are being formed from the process of translation (C), in which mRNA carries theDNA code to the ribosome for protein synthesis.RNA (B) is being formed from the process of translation (C), in which mRNA carries the DNAcode to the nucleus for protein synthesis. 8. Stick A is 120 cm shorter than stick B. Stick C is 84 cm shorter than stick B. Sticks A, B, and C have a total length of 360 cm. What is the total length (in meters and centimeters) of sticks A and C? plato on the death of socrates: introduction with readings from the apology and the phaedo in greek Quinn deposit $3000 into a savings account her freshman year of college. She will earn simple interest on the account at 2.56%. If she makes no contributions or withdrawals, what will the accrued value of the account be when she graduates four years later 7) What was a guiding principle to come out of the Monroe Doctrine? In addition to the boyars,the middle class of Kievan Rus included____ Two wires enter a box, are each connected to a terminal, and then exit again. The total conductor count is helpppppppppppppppppppppppppppp g components of force f with respect to x and y axes can be calculated as follow. please note that x and y axes are not perpendicular to each others. the angle between f and x is denote as (theta). the angle between f and y is denote as (gamma). Identifying Variables1. What is the independent variable in part A of Barbaras experiment?2. List all the parts that were controlled in part A.3. What is the independent variable in part B of this experiment?4. List all the factors that were controlled in part B. 5. What can you conclude about how the mass of the pendulum and length of string affect the amount of time needed to complete 40 swings? Use the chart above. how do i get my w2 from walgreens if i no longer work there FILL THE BLANK ___ theorists are most likely to be concerned with unequal access to health care, power relationships in the health care system, and the role of profit in maintaining human health. A 70-year-old woman with a history of atrial fibrillation takes digoxin and verapamil to control her health problem. Verapamil achieves a therapeutic effect by:A. inhibiting the movement of calcium ions across the cardiac muscle cell membrane.B. blocking adrenergic receptors and producing antisympathetic effects.C. decreasing sodium and potassium conduction.D. weakening diastolic depolarization and the action potential duration. Identify the sampling method that was used.Three representatives from each employee type (faculty, staff, administrators) are chosen for a salary committee.ClusterRandomStratifiedSystematic The following items are required to create a concise informative plot for each of the terms listed. (Some terms are used more than once.)The choices are (reaction, chemicals or system being investigated / special conditions of the experiment / best fit line or curve with an equation / units (if any) / table with headers containing units / name or symbol of the variable) A 25.00 gram sample of an unknown metal initially at 99.0 degrees Celsius is added to 50.00 grams of water initially at 14.33 degrees Celsius. The final temperature of the system is 20.15 degrees Celsius. Calculate the specific heat of the metal. (The specific heat of water is 4.184 J/g*C). Record your answer in scientific notation using three significant figures. Which of the following scenarios describes an object being acted on by a conservative force? Your company has branch offices on five continents. All the offices are connected to the closest Azure region.You need to recommend an Azure service that provides the following:Automated connectivity between the officesCentral control over security aspects of the connectivityUses the Microsoft backbone for inter-office connectivityWhich service should you recommend?Select only one answer.ExpressRouteAzure Virtual WANAzure VPN GatewayAzure Private Link