Cool Down: Drawing a Pool
A rectangular swimming pool measures 30 meters in length and 15 meters in width.
1. Make a scale drawing of the swimming pool where 1 centimeter represents 5 meters
11-1
1=201

Using proportions, it is found that he would have to ride his bike 3 miles a day to meet his goal.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

He has already ridden the bike for 6 miles, and needs to run 21 - 6 = 15 miles in 5 days, hence the average is given by:

x = 15/5 = 3 miles a day.

He would have to ride his bike 3 miles a day to meet his goal.

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The number of pieces she can cut is 13 and the length of the leftover piece of ribbon is 1/3 feet, by basic algebra.

Given:

To find: Number of pieces of ribbon cut and length of leftover pieces.

Finding:

Let x be the number of pieces of ribbon that can be cut.

Then, according to question, by basic algebra:

2x/3 = 9

=> x = [tex]\frac{27}{2}=13\frac{1}{2}[/tex]

That is, the number of pieces of ribbon that can be cut are 13

The leftover length of ribbon is then given by:

9 - 13 (2/3) = 9 - (26/3) = 1/3

That is, the leftover length of ribbon is 1/3 feet.

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Problem 4

Let's define these point locations

Angle DBC is 90 degrees since it covers the upper right quadrant

Angle CBA is 45 degrees

Therefore, angle ABD is 90+45 = 135 degrees.

Check out the diagram below.

=========================================================

Problem 11

x = the unknown angle

angle x and 140 combine to a straight angle (180 degrees)

x+140 = 180

x = 180-140

x = 40

=========================================================

Problem 12

This time the angles add to 90

x+36 = 90

x = 90-36

x = 54

=========================================================

Problem 13

The two angles x and 90 combine to a 120 degree angle

x+90 = 120

x = 120-90

x = 30

Answer:

Hello,

answer : 259269764699508231

Step-by-step explanation:

We must use permutations with repetitions

The time required to work at temperature of75degree celsius is 56.25 minutes

If a machine starts working in 45 minutes at the temperature of 60degree celsius, the amount of time worked at a temperature of 1 degree is expressed as:

Unit rate = 45/60

Unit rate = 0.75degrees celsius/minute

Determine the time it required to work at temperature of 75degree celsius

Time required = 0.75 * 75

Time required = 56.25 minutes

Hence the time required to work at temperature of75degree celsius is 56.25 minutes

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Answer:

c

Step-by-step explanation:

192=4x-12

Answer:1) An operator is missing in your statement. Most likely the right expression is:

Step-by-step explanation:

              2x

f(x) = -------------

          3x^2 - 3

So, I will work with it and find the result of each one of the statements given to determine their validiy.

2) Statement 1: The graph approaches 0 as x approaches infinity.

Find the limit of the function as x approaches infinity:

                                   2x

Limit when x →∞ of ------------

                                3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                     2/∞             0          0

Replace x with ∞ =>  ------------ =  ------- =  ---- = 0

                                   3 - 3/∞        3 - 0      3

Therefore the statement is TRUE.

3) Statement 2: The graph approaches 0 as x approaches negative infinity.

Find the limit of the function as x approaches negative infinity:

                                       2x

Limit when x → - ∞ of ------------

                                    3x^2 - 3

Start by dividing numerator and denominator by x^2 =>

     2x / x^2                         2/x

--------------------------- = ---------------

 3x^2 / x^2 - 3 / x^2       3 - 3/x^2

                                       2/(-∞)           0            0

Replace x with - ∞ =>  ------------ =  ---------- =  ---- = 0

                                     3 - 3/(-∞)      3 - 0        3

Therefore, the statement is TRUE.

4) Statement 3: The graph approaches 2/3 as x approaches infinity.

FALSE, as we already found that the graph approaches 0 when x approaches infinity.

5) Statement 4: The graph approaches –1 as x approaches negative infinity.

FALSE, as we already found the graph approaches 0 when x approaches negative infinity.

To solve the inequality, divide both sides by 9. The solution is a < 5 or (∞, 5)

Tips to solve linear inequalities:

Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis (  or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.

Example:  x ≥ 2 can be written as [2, ∞), while

                x > 0 is written as (2, ∞)

The given problem:

9a < 45

Notice that the variable, a, is already isolated on the left side.  Divide both sides by 9: (Note that the inequality sign is not flipped since 9 is a positive number)

9a : 9 < 45 : 9

a < 5

Using the interval notation, the solution is (∞, 5)

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From the two methods to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

We want to find the area of the irregular composite polygon figure. Now, there are two ways to do this which are;

1) To divide the internal part of the irregular polygon into regular shapes and find the respective areas and add up to get the total area.

2) To inscribe the irregular polygon into a regular shape like a rectangle or square, Then divide into regular shapes the external parts of the irregular polygon that share boundary with the bigger regular shape. Then add up the areas and subtract from the area of the big regular shape.

Now, looking at the two options to find the surface area, the method used by student 2 is most desirable as the smaller regular objects are easily interpreted to solve.

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[tex]f + b = m \\ f + b - f = m - f \\ b = m - f[/tex]

Answer:

Step-by-step explanation:

Answer

the number of arrow in inner ring is i don't know

Stepby-step explanation:

Answer:

1. i

2. -1

Step-by-step explanation:

Answer:

spam question

not able to answer

Step-by-step explanatio

mark me

Answer:

rotate 180

Step-by-step explanation:

because you can try it urself

The comparison of the numbers is that  -√7 is greater than -3.12345....

The numbers are given as:

-√7 and -3.12345....

Using a calculator, we have:

-√7 = -2.6457.....

-2.6457.... is greater than -3.12345....

This means that

-√7 is greater than -3.12345....

Hence, the comparison of the numbers is that  -√7 is greater than -3.12345....

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The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of  length 46 units.

Given a line segment RT of length 46 units and line segment ST of  length 46 units and asked to find the length of line segment RS.

Given the number line RT;

RT=RS+ST

⇒46=RS+13

⇒RS=33

The length of line segment RS is 33 units.

Therefore,The length of the line segment RS is 33 ;By considering the line segment RT of length 46 units and line segment ST of  length 46 units.

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Answer:

yes it is

Step-by-step explanation:

because it has the leading power of x as 2

The gas mileage in miles per gallon = 44.690mi/gal.

A vehicle's mileage is the number of miles it can drive solely on a single gallon or liter of fuel. They are ready to pay up to $500 more for fuel-efficient vehicles. 3. a noncountable noun.

Subtract the original tachometer reading from either the new one to get the miles traveled first from the trip odometer. Divide the distance traveled by the number of gallons used to fill the tank. As a result, your car's overall kilometers per gallon yield for that driving period will be calculated.

1 km = 0.621371 mi

1 L = 0.264172 gal

calculating that the amount of gas mileage in miles per gallon by multiplying with distance and gas used per miles.

19 km/L = (19*0.621371)/0.264172 mi/gal

= 44.690 mi/gal

the gas mileage in miles per gallon = 44.690mi/gal.

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The inverse of y = cos(x) could be a function in domain (A) [0, π].

So, domain of  y =cos(x):

Therefore, domain (A) [0, π]  would allow the inverse of y = cos(x) to be a function.

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The complete question is given below:

Which domain would allow the inverse of y = tan(x) to be a function?

A) [0, π]

B) [0, 2π]

C) (-∞, ∞)

D) [-π/2, π/2]

The function f(x) = 3[tex]x^{5}[/tex] -9 given in the question is neither an even function nor an odd function

The function f(x) = 3[tex]x^{5}[/tex] -9 cannot be an even function because the exponential power is not in the multiples of 2 and there is second step to check whether the function is even function or not if f(x)= f(-x) but this cannot be checked here because it proved not be an even function in the first step itself

The function f(x) = 3[tex]x^{5}[/tex] -9  is odd function only if -f(x) = f(-x)

so lets check f(1)= 3([tex]1^{5}[/tex]) -9 = 3-9 = -6

now f(-1) = 3(-[tex]1^{5}[/tex]) -9 =-3-9=-12

and -f(1) = 6

Hence the function given in the question is neither an even function nor an odd function

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Answer:

-6n = 30

Step-by-step explanation:

The mean of distribution will be 60, standard deviation will be 5 and variance will be 24

Given,

The total number of students (n)= 100

The probability of students, completing their homework on time (p)= 60%

= 60 / 100

= 0.6

According to the binomial distribution,

mean = np

= 100 × 0.6

= 60.

Variance = np× (1 - p)

= 100 × 0.6 × 0.4

= 24

Standard deviation = [tex]\sqrt{variance}[/tex]

= [tex]\sqrt{24}[/tex]

= 4.89 or 5

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Answer:Your answer would be 11.686

Step-by-step explanation:Please give brainliest if right.

Answer:

The answer is or, should be 11.686

The product of three successive integers is represented by the symbol n3 n=(n1)(n)(n+1).

n3 n can be divided by 6.

Consecutive integers are the numbers that follow one another. They go either alphabetically or sequentially. For instance, a series of integers is a group of natural numbers. The term "consecutive" in mathematics refers to an unbroken flow or succession of numbers; hence, a sequence of consecutive integers is one where each following number is one more than the one before it. An array of consecutive integers (or numbers) has an identical mean and median. If x is a positive integer, then x + 1 and x + 2 are likewise positive integers. We shall learn in-depth details regarding formulas, characteristics, illustrations, and the significance.

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Answer:

To estimate I would either do 6x220 then subtract 6 from that sum

Or you could do 6x200

6x10

6x9

And add that to get your answer but 6x219 is 1314

Step-by-step explanation:

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

A vector quantity is average velocity. The change in position and otherwise displacement (x) divided by that of the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity may be either positive or negative depending on the displacement's direction.

The distance covered by the rubber ducks = 1600 miles.

The duration needed to cover this distance = 10 months.

The average ocean speed, according to definition, is

v = (1600 miles)/(10 months)

Now,

1 mile = 1609 m

10 months = (10 months)*(30 days/month) *(24 hours/day)

                 = 7200 hours (approx.)

                 = 7200*3600

                 = 2.592 x 10⁷ s

So that,

ν = [tex]\frac{(1600 \mathrm{~m}) *\left(1609 \frac{\mathrm{m}}{\mathrm{mi}}\right)}{(10 \mathrm{months}) *\left(2.592 \times 10^7 \frac{\mathrm{g}}{10 \mathrm{mon} t h}\right)}[/tex]

   = 0.0993 m/s

Also,

ν = 1600/7200

  = 0.222 mi/h

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

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I understand that the question you are looking for is:

A severe storm on January 10, 1992, caused a cargo ship near the Aleutian Islands to spill 29,000 rubber ducks and other bath toys into the ocean. Ten months later hundreds of rubber ducks began to appear along the shoreline near Sitka, Alaska, roughly 1600 miles away.

What was the approximate average speed of the ocean current that carried the ducks to shore in m/s and in mi/h? (Rubber ducks from the same spill began to appear on the coast of Maine in July 2003.)

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers (numerals) only. This ultimately implies that, a numerical data refers to a type of data set consisting of numbers (numerals) rather than words.

Based on the information provided, the number of cards (c) in each pack can be modeled by the following mathematical expression (equation):

Note: 100 cent is equal to 1 dollar.

First pack:        0.25c = 3

Second pack:  0.3c = 3

Now, we can determine the number of cards (c) in the first pack as follows:

0.25c = 3

c = 3/0.25

Number of cards, c = 12 cards.

For the second pack, we have:

0.3c = 3

c = 3/0.3

Number of cards, c = 10 cards.

Therefore, there are 12 cards in the first pack, and there are 10 cards in the second pack.

Difference = First pack - Second pack

Difference = 12 - 10

Difference = 2 cards.

In conclusion, the first pack has 2 more cards than the second pack.

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Answer:

4.50

Step-by-step explanation:

There's 2 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

     1 8

×     2 5

___________________

+     9 0

+   3 6  

___________________

=  4 5 0Rewrite the product with 2 total decimal places.

Answer = 4.50

Therefore:

1.8 × 2.5 = 4.50

Applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

When two lines intersect perpendicularly at a point, they form a right angle, which is equal to 90 degrees.

Thus, angle ADC is a right angle. Therefore, angles ADB and BDC are complementary angles. This means that:

m<ADB + m<BDC = 90°

Substitute

3a + 10 + 13a = 90

16a + 10 = 90

16a = 90 - 10

16a = 80

16a/16 = 80/16

a = 5

m<ADB = (3a + 10) = 3(5) + 10 = 25°

m<BDC = 13a = 13(5) = 65°

Thus, applying the definition of the angle formed by perpendicular lines, the measures are:

a = 5

m<ADB = 25°

m<BDC = 65°

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