The area of a semicircle is 0.5652 square inches. What is the semicircle's diameter? Use 3.14 for a inches Submit can you explain

Answers

Answer 1

Given :

The area of semicircle is given as 0.5652 sq.inches.

To find:

The diameter of semicircle which is denoted as d.

Explanation:

The area of semicircle is given as

[tex]A=\frac{\pi r^2}{2}[/tex]

The relation between radius and diameter is

[tex]d=2r[/tex]

Now substitute the given area in the area of semicircle formula.

[tex]0.5652=\frac{3.14\times r^2}{2}[/tex][tex]r=\sqrt[]{\frac{2\times0.5652}{3.14}}=\sqrt[]{0.36}[/tex][tex]r=0.6in[/tex]

The semicircle diameter is determined as

[tex]d=2r\Rightarrow2\times0.6=1.2in[/tex]

Answer:

Hence the diameter of semicircle is determined as 1.2 in.


Related Questions

John has two apples, he gives Jane 251. How many apples does John have? Please help 2nd grade is so hard.

Answers

-249 ( I just want the points )
249 is the answer (i want points too)

I need help with review on functions

Answers

The answer is Option 2

Its not a function

The domain and range of the function is shown at the various endpoints of the graph.

At every point you can always identify a value for x (the input value) and also a corresponding value for y (the output value).

Please note the endpoints marked in blue.

These are the endpoints, and for every point, you will have (x, y).

However, note that at the endpoints, the values of y remains the same.

For every relation to be a function, there must be exactly one corresponding y value for every x value. As shown by the blue markings on the graph, the x values on the horizontal axis both have the same y value (which is zero).

Hence, the relationship shown by the graph is not a function

there are 5 adult cats, 6 middle aged cats, and ___ kittens, if there are 19 animals in total, how many kittens are there, solve for the blank.

Answers

ANSWER

There are 8 kittens

EXPLANATION

If the sum of the number of adult cats, middle aged cats and kittens is 19:

[tex]\begin{gathered} \text{adult}+\text{middle aged+kittens=19} \\ 5+6+\text{kittens}=19 \\ \text{kittens}=19-5-6 \\ \text{kittens}=8 \end{gathered}[/tex]

Kristy downloads two songs to her MP3 player. The songs are 3 1/10 minutes and 4 2/3 minutes long. About how many minutes of memory will these two songs use altogether?

Answers

We have:

Song 1 = 3 1/10 minutes

Song 2 = 4 2/3 minutes

Minutes of memory of two songs:

[tex]3\frac{1}{10}+4\frac{2}{3}=\frac{31}{10}+\frac{14}{3}=\frac{3\times31+10\times14}{30}=\frac{93+140}{30}=\frac{233}{30}=7\frac{23}{30}[/tex]

Answer:

[tex]7\frac{23}{30}\text{ minutes}[/tex]

Convert decimal to 0.147 to fraction ( the last digit 7 repeating)

Answers

Answer:

133/900

Explanation:

To convert the decimal 0.147777 to a fraction, we first identify the decimal part, so we have 147 as a decimal part.

Then, we subtract 14 because that part is not repeating. So:

147 - 14 = 133

Now, we need to divide by 9 to get the repeating part, but the repeating part starts at the third decimal place, so we will divide by 900 instead of 9.

Therefore, 0.147777... as a decimal is:

[tex]0.14777\ldots=\frac{133}{900}[/tex]

So, the answer is 133/900

I need help with my question

Answers

The opposite of a number is the same as multiplying it by -1. any negative number, it's opposite is that same number positive. And any positive number is that same number negative.

Our number W is 5. Then, the opposite number is - 5.

To draw a point at - 5 from 5, we just need to move the difference between them to the left. The difference between 5 and -5 is given by

[tex]|5-(-5)|=|5+5|=|10|=10[/tex]

Then, to draw point V we need to move 10 units to the left of Point W.

It's a gross thought, but the number (N) of bacteria in refrigerated food is given by latex-  1≤T≤20 where T is the temperature of the food in degrees Celsius. When you take the food out of the refrigerator, the temperature of the food is given by T(t)=3t+2,   0≤t≤6 where t is the time in hours. Find the composition N(T(t)) and interpret what it means in this context.

Answers

Given that the concentration of bacteria in the refrigerated food is

[tex]10T^2-20T-6----\mleft\lbrace1\mright\rbrace[/tex]

and the temperature of the food is given by

[tex]T(t)=3t+2-----\mleft\lbrace2\mright\rbrace[/tex]

Therefore, N(T(t) is given by

[tex]N\mleft(T(t)\mright)=10(3t+2)^2-20(3t+2)^{}-6[/tex]

Then,

[tex]\begin{gathered} N(T(t))=10(3t+2)^2-20(3t+2)^{}-6 \\ =10(9t^2+6t+6t+4)-60t-40-6 \\ =10(9t^2+12t+4)-60t-46 \\ =90t^2+120t+40-60t-46 \\ =90t^2+60t-6 \end{gathered}[/tex]

Answer: The composition is

[tex]N(T(t))=90t^2+60t-6[/tex]

It can be interpreted as the concentration of bacteria in the food when outside of the refrigerator with time.

A ball is kicked up in the air from the ground. The height of the ball can be modeled as a function of time in seconds. This function is represented on the graph below. Enter the average rate of change for the height of the ball, measured as feet per second, between 0 seconds and 2 seconds._[blank]_ feet per secondEnter your answer as a number, like this: 42

Answers

ANSWER:

2

STEP-BY-STEP EXPLANATION:

The average rate of change is given by the following formula:

[tex]r=\frac{f(b)-f(a)}{b-a}[/tex]

Since it is between 0 and 2 seconds, the values of a and b will be these respectively, the evaluated values can be determined by the graph, therefore:

[tex]\begin{gathered} r=\frac{4-0}{2-0}=\frac{4}{2} \\ \\ r=2\text{ feet pe second } \end{gathered}[/tex]

The average rate of change is equal to 2 feet per second

Convert the polar equation r=3 to a Cartesian equation.x^2+y^2=√3x^2+y^2=3x^2+y^2=9

Answers

[tex]\begin{gathered} \text{Polar form:} \\ r=c \\ \\ \text{Cartesian Form:} \\ x^2+y^2=c^2 \end{gathered}[/tex]

For the given equation:

[tex]\begin{gathered} \text{Polar form: } \\ r=3 \\ \\ \text{Cartesian form:} \\ x^2+y^2=3^2 \\ x^2+y^2=9 \end{gathered}[/tex]

Michael studied the feather lengths of some adult fox sparrows.How long is the shortest feather in the data set?

Answers

From the data set given, 3/4 is the length of the shortest feather of fox sparrow.

Given,

The image is attached with this.

The length of fox sparrow feathers studied by Michael.

1 sparrow with 3/4 inches of feather4 sparrows with 2 inches of feather7 sparrows with 2 1/4 inches of feather5 sparrows with 2 1/2 inches of feather3 sparrows with 2 3/4 inches of feather.

We have to find the shortest feather in the data set.

Here,

3/4 inches is the shortest feather and only 1 sparrow has the shortest feather.

2 3/4 inches is the longest feather and 3 sparrows have the longest feather.

That is,

From the data set given, 3/4 is the length of the shortest feather of fox sparrow.

Learn more about length of feather here;

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To make an open box from a 175cm by 100cm piece of cardboard, equal-sized squares will be cut from each of the four corners and then the sides will be folded up. What is the approximate volume of the largest possible box that can be made?Group of answer choices:A) 324,146 cm^3B)162,073cm^3C) 251,707cm^3D)189,640cm^3

Answers

Given that dimensions of the piece of cardboard are:

[tex]\begin{gathered} l=175\text{ }cm \\ w=100\text{ }cm \end{gathered}[/tex]

Where "l" is the length and "w" is the width, you can determine that it has the shape of a rectangle.

You know that equal-sized squares will be cut from each of the four corners and then the sides will be folded up. Then, you can make the following drawing:

By definition, the volume of a rectangle is:

[tex]Volume=length\cdot width\cdot height[/tex]

In this case, you can set up that:

[tex]\begin{gathered} length=175-2x \\ width=100-2x \\ height=x \end{gathered}[/tex]

Therefore, you can write this equation:

[tex]V=(175-2x)(100-2x)(x)[/tex]

Expand it:

[tex]V=(175-2x)(100x-2x^2)[/tex][tex]V=(175)(100x)-(175)(2x)-(2x)(100x+(2x)(2x^2)[/tex][tex]V=4x^3-550x^2+17500x[/tex]

Now you need to derivate it using the Power Derivative Rule:

[tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex]

Then:

[tex]V^{\prime}=(4)(3)x^2-(550)(2)x+17500[/tex][tex]V^{\prime}=12x^2-1100x+17500[/tex]

Make the equation equal to zero and sove for "x":

[tex]12x^2-1100x+17500=0[/tex]

Use the Quadratic Formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Substituting:

[tex]\begin{gathered} a=12 \\ b=-1100 \\ c=17500 \end{gathered}[/tex]

You get:

[tex]\begin{gathered} x_1\approx20.49 \\ x_2\approx71.18 \end{gathered}[/tex]

Therefore, you can make the following Sign Chart:

Then, you can substitute these:

[tex]\begin{gathered} x=20 \\ x=50 \\ x=72 \end{gathered}[/tex]

Into the factorize form of the derivated function:

[tex]V=(x+\frac{275-25\sqrt{37}}{6})(x-\frac{275+25\sqrt{37}}{6})[/tex][tex]V=(x+\frac{275-25\sqrt{37}}{6})(x-\frac{275+25\sqrt{37}}{6})[/tex]

Sean, Kevin and Bill take classes at both JJC and CSU. Sean takes 8 credits at JJC and 4 credits at CSU; Kevin takes 10 credits at JJC and 6 at CSU: Bill takes 6 credits at JJC and 4 at CSU; the cost per credit at JJC is $103 and at CSU is $249. a) Write a matrix A that gives the credits each student is taking and B that gives the cost per credit at each school. b) Find the dimension of A and B. c) Find the product AB and the names of its rows and columns.

Answers

ANSWER:

a)

[tex]\begin{gathered} A=\begin{pmatrix}8 & 4 \\ 10 & 6 \\ 6 & 4\end{pmatrix} \\ B=\begin{pmatrix}103 \\ 249\end{pmatrix} \end{gathered}[/tex]

b)

Dimension A = 3 x 2

Dimension B = 2 x 1

c)

Cost of credits

Sean $1820

Kevin $2524

Bill $1614

[tex]\begin{pmatrix}Sean \\ \: Kevin \\ \: Bill\end{pmatrix}\begin{pmatrix}1820 \\ \: 2524 \\ \: 1614\end{pmatrix}[/tex]

STEP-BY-STEP EXPLANATION:

With the help of the statement, we create the matrices A and B:

[tex]\begin{gathered} A=\begin{pmatrix}8 & 4 \\ 10 & 6 \\ 6 & 4\end{pmatrix}\rightarrow3\times2 \\ B=\begin{pmatrix}103 \\ 249\end{pmatrix}\rightarrow2\times1 \end{gathered}[/tex]

Now, we calculate the product just like this:

[tex]\begin{gathered} \text{Product }A\cdot B=\begin{pmatrix}8\cdot103+4\cdot249 \\ 10\cdot103+6\cdot249 \\ 6\cdot103+4\cdot249\end{pmatrix}=\begin{pmatrix}1820 \\ \: 2524 \\ \: 1614\end{pmatrix} \\ \text{Product }A\cdot B=\begin{pmatrix}Sean \\ Kevin \\ Bill\end{pmatrix}\begin{pmatrix}1820 \\ 2524 \\ 1614\end{pmatrix} \end{gathered}[/tex]

Translate the sentence into an equation,The sum of 5 times a number and 4 is 3.Use the variable b for the unknown number.

Answers

Given the sentence, the sum of 5 times a number and 4 is 3.

The information would translate to;

[tex]\begin{gathered} (5\times b)+4=3 \\ 5b+4=3 \end{gathered}[/tex]

ANSWER:

[tex]5b+4=3[/tex]

How do I do this, I’m unsure how to go about it

Answers

Given:

[tex]\sqrt{\frac{6}{x}}\cdot\sqrt{\frac{x^2}{24}}[/tex]

Simplify:

[tex]=\sqrt{\frac{6}{x}}\cdot\frac{\sqrt{x^2}}{\sqrt{24}}=\sqrt{\frac{6}{x}}\cdot\frac{x}{2\sqrt{6}}[/tex]

Apply the properties of fractions:

[tex]=\frac{\sqrt{\frac{6}{x}}x}{2\sqrt{6}}[/tex]

Simplify:

[tex]=\frac{\frac{\sqrt{6}}{\sqrt{x}}x}{2\sqrt{6}}=\frac{\sqrt{6}\sqrt{x}}{2\sqrt{6}}[/tex]

Eliminate common terms:

[tex]=\frac{\sqrt{x}}{2}[/tex]

Answer:

[tex]\frac{\sqrt{x}}{2}[/tex]

54 is 120 percent of what number ?

Answers

Answer:

120% of 54 =

120% × 54 =

120/100 × 54 =

(120 ÷ 100) × 54 =

120 × 54 ÷ 100 =

6,480 ÷ 100 =

64.8

Percentage of 120% of 54

120% of 54 = 64.8

and to prove that we got the right answer do what we did above in reverse below

64.8 ÷ 54 =

1.2 =

1.2 × 100/100 =

(1.2 × 100)/100 =

120/100 =

120%

Step-by-step explanation:

Evaluate the expression [tex]9 + 7 - 3 \times 3 - 2[/tex]

Answers

[tex]\begin{gathered} \text{ 9 + 7 - 3 x 3 - 2}^2 \\ \text{ 9 + 7 - 9 - 4} \\ \text{ 16 - 13} \\ 3 \end{gathered}[/tex]

2x + 4x = 3x + 3x Solve for x.

Answers

You have the following expression:

2x +4x = 3x + 3x

in order to solve for x, proceed as follow:

2x +4x = 3x + 3x simplify like terms both sides

6x = 6x

Due to the previous result is the trivial solution, it means that the equation has infinite solutions.

3(2x+4) - 2(4x-1)=20A. x=5B. x=-5C. x=3D. x=-3

Answers

we have the following:

[tex]3(2x+4)-2\left(4x-1\right)=20[/tex]

solving for x:

[tex]\begin{gathered} 3(2x+4)-2\left(4x-1\right)=20 \\ 6x+12-8x+2=20 \\ -2x=20-12-2 \\ -2x=6 \\ x=\frac{6}{-2} \\ x=-3 \end{gathered}[/tex]

The answer is x = -3

The figure on the right is a scale drawing of the figure on the left. What is the scale factor?

Answers

In order to find the scale factor, we just need to divide one side of the right figure by the corresponding side in the left figure.

So, taking the sides SU and PR, we have:

[tex]\text{scale}=\frac{SU}{PR}=\frac{12}{8}=1.5[/tex]

So the scale factor is 1.5.

I need help answering the 2nd part of this question

Answers

An identity function has one output value for each input value.

G is an identity function.

To find its equation apply the slope-intercept form:

y=mx +b

Where:

m= slope ( rise / run)

b= y-intercept ( where the function crosses the y axis)

By looking at the graph we can see that it crosses (0,0) so, b= 0.

And for every unit to right along the x-axis, it goes up by 1 unit along the y axis.

So, m= 1/1 = 1

Equation:

y = x

Suppose you have a piece of ribbon that is 6 feet long, and you cut off one piece that's 3 2/3
inches long and a second piece that's 2 5/6 inches long. How much ribbon is left in inches?
inches of ribbon left

Answers

Answer:

65 1/2 inches of ribbon is left, my exact work is shown on a piece of paper below if you need it.


Step-by-step explanation:

1 foot = 12 inches


6 x 12 = 72 inches


72 - (3 2/3 + 2 5/6) = ?

So, don’t expect me to get this exactly right. I tried.


My explanation:

The rib ion originally started at 6 feet

You first cut 3 2/3 off, so your now left with 7/3 or 2 1/3 (simplified)

Now your left with 2 1/3.

Then you cut a second piece off, 2 5/6 inches….so 2 5/6 minus 2 1/3 = 1/2

So you should have about 1/2 of a ribbon left.


(I tried btw. I’m very sleepy rn.)

Lines AD and BC are parallel. What is the angle measurement of Angle DAE(Point A)?D150°45°BсFYour answer

Answers

Solution

For this case we can find the angle:

m < ECB = 30º

And we can find the angle CEB and we got:

m < CEB = 180 -30 - 45 = 105

And then the angle DAE would be:

m < DAE = 30º

Please help. I don't really understand monomials and negative exponets

Answers

The standard form of the monomial expression is -1x¹⁰

Monomial expression:

A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too.

Given,

Here we have the expression

(-2x³)².(-1/4 x⁴)

Now, we have to convert the expression into standard form.

To convert the expression into standard monomial form,

First we have to expand the terms, then we get,

=> (-2²x⁶).(-1/4x⁴)

Then we have to divide the variables and constants separately.

=> (4 x -1/4).(x⁶⁺⁴)

=> -1 . x¹⁰

=> -1x¹⁰

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Solve the equation. Check your solution.20x - 4= 50x + 2x=(Simplify your answer. Type an integer or a simplified fraction.)

Answers

20x - 4 = 50x + 2

Solve for x

20x - 50x =

The crew knows the amount of dirt the truck can hold each trip in cubic yards.

Answers

Given:

Measurements of hole are 48ft 39ft and and 9ft

Required:

Volume in cubic yd

total number of trip

total cost of trip

Explanation:

First we need to convert given measurements from ft to yd

[tex]\begin{gathered} 3ft=1yd \\ 48ft=16yd \\ 39ft=13yd \\ 9ft=3yd \end{gathered}[/tex]

A)

[tex]V=lhw=16*13*3=624yd^3[/tex]

B)

11 cubic yd in 1 trip

then

624 cubic yd in x trip

[tex]x=\frac{624}{11}=56.7\approx57[/tex]

C)

cost for 1 trip is $1175

then

cost for 57 trip is y

[tex]y=57*1175=66975[/tex]

Final answer:

Volume in cubic yd is 624

total number of trips is 57

total cost of trip $66975

The function table below is intended to represent the relationship y=-5x+1. However, one of the entries for y does not correctly fit the relationship with x.

Answers

Answer:

Step-by-step explanation:

none of the answers are correct

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