Find area of this shape?

Find Area Of This Shape?

Answers

Answer 1

Answer:

189.3 in.²

Step-by-step explanation:

The shape consists of a half circle and a rectangle. Therefore,

Area of the shape = area of the half-circle + area of the rectangle

= ½(πr²) + L*W

r = radius of the half-circle = ½(10) = 5 in.

L = length of the rectangle = 15 in.

W = width of the rectangle = 10 in.

Plug in the values

Area of the shape = ½(π*5²) + 15*10

Area of the shape = 39.27 + 150

= 189.27 ≈ 189.3 in.² (Nearest tenth)


Related Questions

In Oregon, the mean annual rainfall in Rockaway Beach is 118.88 inches and the mean annual rainfall in Falls City is 122.28 inches. Which conclusion can you make using this information?

Answers

Answer:

Step-by-step explanation:

Based on this information, you could conclude that the annual rainfall in Falls City is generally more than that of the annual rainfall in Rockaway Beach. This is based on the information provided since the numbers given are the mean annual rainfall. Meaning that this is the average amount of rain that falls in any given year in that specific location. Since the amount provided for Falls City is a larger number then it means it gets more rainfall than Rockaway Beach on average and would therefore be the safest conclusion that can be made.

Answer:

I hope this helps

Step-by-step explanation:

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 29 cups of​ coffee, using 444 ounces of​ coffee, while collecting a total of ​$35.90. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?

Answers

Answer:

[tex]E(10x + 3y) =106[/tex]

Step-by-step explanation:

Given

[tex]E(x) =10[/tex]

[tex]Var(x) = 100[/tex]

[tex]E(y) =2[/tex]

[tex]Var(y) = 16[/tex]

Required

[tex]E(10x + 3y)[/tex]

To do this, we make use of the following equation

[tex]E(ax + by) =aE(x) + bE(y)[/tex]

So, we have:

[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]

[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]

[tex]E(10x + 3y) =100 + 6[/tex]

[tex]E(10x + 3y) =106[/tex]

What is the value of n?

Answers

Answer:

A

Step-by-step explanation:

180-133= 47

180-142= 38

47+38= 85

180-85= 95

If the inside of n is 95, n has to be  85

11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т

Answers

Answer:

D is the answer

Step-by-step explanation:

2x+ 4y =16 -2x- 3y = -6 solve this system of equations using the elimination method

Answers

[tex] \large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER : \underline{ \tt {x = - 12 \: and \: y = 10}}}}}✓}[/tex]

See the attached picture! Let me know if you have any questions regarding my answer! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

[tex] \small \sf \: x = - 12 \: \: and \: y = 10[/tex]

Step-by-step explanation:

2x + 4y = 16.

-2x - 3y = -6

Add both equation ;

[tex] \small \sf \: \: \: \: \: 2x + 4y = 16 \\ + \small \sf \: \: \underline{ -2x - 3y = -6 }\\ \small \sf \: \: \: \: \: \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \ \blue{y = 10}} [/tex]

Therefore , y = 10

Substitute the value of y in the first equation

2x + 4 = 16

2 x + 4 × (10) = 16

2x + 40 = 16

subtract 40 from both side

2x + 40 - 40 = 16 - 40

2x = - 24

divide each side by 2

2x/ 2 = - 24 / 2

x = - 12

What is the volume of the rectangular prism?
3 cm
8 cm
2 cm
cm3

Answers

Answer:

48 cm^3

Step-by-step explanation:

Since there is no image, I’m just going to assume that these three measurement are the length, width, and height of the rectangular prism:

The formula for the volume of a rectangular prism is length x width x height.

Use formula with given dimensions:

3 x 8 x 2 = 48

Volume is measured in cubic centimeters

(cm in this case)

Therefore, the volume of the rectangular prism is 48 cm^3

Hope this helps!

The difference of two numbers is 13. The sum of two numbers is 75

Answers

Answer:

The numbers are 31 and 44.

Step-by-step explanation:

Given that the difference of two numbers is 13, and the sum of two numbers is 75, to determine what these numbers are, the following calculations must be performed:

(75 - 13) / 2 = X

62/2 = X

31 = X

31 + (31 + 13) = X

31 + 44 = X

75 = X

Therefore, the numbers are 31 and 44.

Select all the pairs of expressions that are equivalent.
•14d + 21 and 7(2d + 3)
•9(5r - 2) and 14r - 7
•8(69 - 9) and 489 - 72
•16 + 4w and 2(2w + 8)
•32t + 16 and 16(2 – t)

Answers

Answer:

14d + 21 = 7(2d + 3)

16 + 4w = 2(2w + 8)

Step-by-step explanation:

14d + 21

7(2d + 3)

14d + 21

14d + 21 = 7(2d + 3)

9(5r - 2)

45r - 18

14r - 7

9(5r - 2) ≠ 14r - 7

8(69 - 9)

552 - 72

489 - 72

8(69 - 9) ≠ 489 - 72

16 + 4w

2(2w + 8)

4w + 16

16 + 4w = 2(2w + 8)

32t + 16

16(2 - t)

32 - 16t

32t + 16 ≠ 16(2 - t)

The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

How to determine the equivalent expressions?

To do this, we test each pair of expression.

This is done as follows

14d + 21 = 7(2d + 3)

Expand

14d + 21 = 14d + 21 --- this is true

9(5r - 2) = 14r - 7

Expand

45r - 18 = 14r - 7 --- this is false

8(69 - 9) = 489 - 72

Expand

552 - 72 = 489 - 72 --- this is false

16 + 4w = 2(2w + 8)

Expand

16 + 4w = 4w + 16 ---- this is true

32t + 16 = 16(2 – t)

Expand

32t + 16 = 32 - 16t --- this is false

Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

#SPJ6

Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer​

Answers

Answer:

YES

Step-by-step explanation:

PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four

Step-by-step explanation:

it has no factor excluding 1 and itself

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

4. 52sq.ft

5.25sq.ft

Step-by-step explanation:

In attachment

Here is the question

Answers

Answer:

X = 4

UV = 24

Step-by-step explanation:

Opposite sides are equal

5x+4=6x

subtract 5x from both sides

4 = x

then substitute the 4 into 5x+4

5(4) + 4 = 24

5x+4=6x
-5x -5x
4=1x
x=4
5(4)+4=24
UV= 24

find the product. write your answer in exponential form 9²•9-⁶​

Answers

Answer:

9^8

Step-by-step explanation:

9²•9⁶​ = 9^(2+6) = 9^8

Answer:

IF the 6 is negative : [tex]9^{2}[/tex] · [tex]9^{-6}[/tex] then the answer is 1/[tex]9^{4}[/tex]

If the 6 is positive then the answer is [tex]9^{8}[/tex]

Step-by-step explanation:

Exponents are add when their bases are similar.

I need the answer find the value of x

Answers

Answer:

1. x = 126

angle POS = 33

2. x = 31

angle MOL = 118

Step-by-step explanation:

for question one, 147 degrees equals x + 21

so x = 126

147 plus 147 equals 294

360-294 equals 66

66/2 equals angle POS

angle POS = 33

for question 2, 62 degrees equals 2x

62 divided by 2 is 31

x = 31

62 + 62 = 124

360-124 = 236

236/2 = 118

angle MOL = 118

Answer:76

Step-by-step explanation:

67

Find the product of (x + 3) (x - 18)

Answers

Answer:

x^2-15x-54

Step-by-step explanation:

(x+3)(x-18) Multiply them all

x^2-18x+3x-54

ans=x^2-15x-54

which expression is equivalent to 6 + 3 * 4 - 1 / 3 ​

Answers

Answer:

12 2/3

Step-by-step explanation:

add the integers to get 6+3 + 4 = 13

Now subtract 1/3

13 = 12 + 1 - 1/3

but one is equal to 3/3

12 + 3/3 - 1/3

12 2/3

simplify the following expression <3

Answers

Answer:

4x^12y^6/z^5

Step-by-step explanation:

See image below:)  

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Which of the following best shows the distributive property?
1. 2(2 - 3) = 2(-1)
2. 2(2 - 3) = 2(2) - 2(3)
3. 2 - 3 = (-3) + 2
4. 2 + (2 - 3) = (2 - 2) + 3

Answers

The answer is 2 because distributive property means that you can multiply with the numbers inside of the parentheses and still get the same answer

Answer:

number 2

Step-by-step explanation:

2x2=4

2x-3=-6

4-6=-2

2x2=4

-2x3=-6

4-6=-2

Please help with this!! Urgent

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When p and q are roots, (x -p) and (x -q) are factors. The quadratic equation is then ...

  0 = (x -p)(x -q) = x^2 -(p+q)x +pq

That is, the constant term is the product of the roots and the linear term coefficient is the opposite of the sum of the roots.

Using the given sum and product, the equation can be written ...

  0 = x^2 -(-5/4)x +3/4

Multiplying by -8 gives ...

  0 = -8x^2 -10x -6 . . . . . matches lower right choice

_____

Check

The product of roots is positive, so both roots have the same sign. The sum of roots is negative, so both roots are negative. That means there are no positive real roots to the equation. Descartes' Rule of Signs tells you this means the sequence of coefficients has no sign changes. Only the choice shown below has no sign changes. All of the others have at least 1 sign change.

The_____ is the result of the sum of the numbers being divided by how many numbers are in set.

Answers

Answer:

Mean

Step-by-step explanation:

Mean

less precisely called the average

Whats the nth term in this sequence
1 , 7, 13, 19

Answers

Step-by-step explanation:

the answer is in the above image

What is the slope of the line graphed below?
(-2,2)
(3, 1)

Answers

Answer:

hey. your questions is not complete. pls add an attachment of the graph to your question

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]

Hope this helps

i need to find the area. please help

Answers

Answer:

A = 190 inches^2

Step-by-step explanation:

The total area would be area for a rectangle + half the area of a circle:

Area for a rectangle:

A = l x w

A = 12 x 15

A = 180 [tex]inches^{2}[/tex]

Area for half of the circle:

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

[tex]A = \frac{\pi 2.5^{2} }{2} \\\\= \frac{19.63}{2} \\\\= 9.8 inches^{2}[/tex]

Total area: Rectangle area + half of the circle area

= 180 + 9.8 = 189.8 = 190 inches^2

Step-by-step explanation:

Find the rectangle area first by using the formula A=length * width then find the semicircle area by using the formula A=pi*r²/2

Name two grouping symbols.​

Answers

Answer:

parentheses ( ), brackets [ ], and braces { }—are used to group numbers or variables (letters

Step-by-step explanation:

I put three for if u need hope this helps:)

Parentheses & brackets

Alguien puede ayudarme?

Answers

Answer:

I don’t understand you language

Step-by-step explanation:

Make it in English

Suppose that attendance at the concerts by the band "Keane" is a normally distributed random variable X with a mean of 18,500. You are told that P(X ≥ 15,000) = 0.6981. What are the two values of X that delineate the "82% middle pack" of this random variable?

A random variable has a population mean equal to 1,973 and population variance equal to 892,021. Your interest lies in estimating the population mean of this random variable. With that in mind, you take a representative sample of size 79 from the population of the random variable. You then use this sample data to calculate the sample average as an estimate for the population mean.

Required:
Using your knowledge about the central limit theorem (CLT), and assuming that the CLT has already "established itself" / "kicked in" when the sample size is 79, what is the probability that the sample average that you calculated will lie between 1,702 and 1,948?

Answers

Answer:

The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.

0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.

Step-by-step explanation:

To solve the first question, we use the normal distribution, while for the second quetion, it is used with the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

First question:

Mean of 18,500:

This means that [tex]\mu = 18500[/tex]

You are told that P(X ≥ 15,000) = 0.6981.

This means that when [tex]X = 15000[/tex], Z has a o-value of 1 - 0.6981 = 0.3019, which means that when [tex]X = 15000, Z = -0.52[/tex]. We use this to find [tex]\sigma[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.52 = \frac{15000 - 18500}{\sigma}[/tex]

[tex]0.52\sigma = 3500[/tex]

[tex]\sigma = \frac{3500}{0.52}[/tex]

[tex]\sigma = 6731[/tex]

What are the two values of X that delineate the "82% middle pack" of this random variable?

Between the 50 - (82/2) = 9th percentile and the 50 + (82/2) = 91st percentile.

9th percentile:

X when Z has a p-value of 0.09, so X when Z = -1.34.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.34 = \frac{X - 18500}{6731}[/tex]

[tex]X - 18500 = -1.34*6731[/tex]

[tex]X = 9480[/tex]

91st percentile:

X when Z has a p-value of 0.91, so X when Z = 1.34.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.34 = \frac{X - 18500}{6731}[/tex]

[tex]X - 18500 = 1.34*6731[/tex]

[tex]X = 27520[/tex]

The two values of X that delineate the "82% middle pack" of this random variable are 9480 and 27520.

Question 2:

A random variable has a population mean equal to 1,973 and population variance equal to 892,021.

This means that [tex]\mu = 1973, \sigma = \sqrt{892021} = 944.5[/tex]

Sample of 79:

This means that [tex]n = 79, s = \frac{944.5}{\sqrt{79}}[/tex]

What is the probability that the sample average that you calculated will lie between 1,702 and 1,948?

This is the p-value of Z when X = 1948 subtracted by the p-value of Z when X = 1702. So

X = 1948

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1948 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]

[tex]Z = -0.235[/tex]

[tex]Z = -0.235[/tex] has a p-value of 0.4071

X = 1702

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1702 - 1973}{\frac{944.5}{\sqrt{79}}}[/tex]

[tex]Z = -2.55[/tex]

[tex]Z = -2.55[/tex] has a p-value of 0.0054

0.4071 - 0.0054 = 0.4017

0.4017 = 40.17% probability that the sample average that you calculated will lie between 1,702 and 1,948.

Select the correct answer from each drop-down menu.
What is the end behavior of function h?
h(x) = -4x2 + 11
As x approaches negative infinity, h(x) approaches
As x approaches positive infinity, h(x) approaches

Answers

Answer:

The first is negative and the second is also negative. Just took the test and passed.

Step-by-step explanation: Step by Step

Because the variable has an even power, we will see that:

As x approaches -∞, h(x) approaches -∞As x approaches ∞, h(x) approaches -∞.

What is the end behavior of h(x)?

Here we have h(x) = -4x^2 + 11

Notice that the variable is squared, this means that the sign does not matter, the outcome of:

-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.

When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.

So we have:

As x approaches negative infinity, h(x) approaches negative infinity.As x approaches positive infinity, h(x) approaches negative infinity.

If you want to learn more about limits, you can read:

https://brainly.com/question/5313449

Choose the equation that represents the line that passes through the point (6, -3) and has a slope of
1/2
y=-x+6
y=2x-6
y=2x+3

Answers

Answer:

y=1/2x-6

Step-by-step explanation:

slope=1/2, (6,-3)

plug in the x and y coordinates into the equation

-3= 1/2 (6) +b

-3=3+b

subtract 3 from both sides

b=-6

y=1/2x-6

R(-9, 4) and S(2, -1); Find T.

Answers

Answer:

AYYYYYYYYYYYYYYYYYYYYY

Step-by-step explanation:

please help me simplify the expression and please show work!!! <3

Answers

Step-by-step explanation:

[tex] \frac{x + 4}{3 {x}^{2} - 12x - 96} = \frac{x + 4}{3( {x}^{2} - 4x - 32) } = \frac{x + 4}{3(x - 8)(x + 4)} [/tex]

[tex] = \frac{1}{3(x - 8)} = \frac{1}{3x - 24} [/tex]

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