A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help

A Triangle Is Placed In A Semicircle With A Radius Of 5 Yd, As Shown Below. Find The Area Of The Shaded

Answers

Answer 1

Answer:

  14.25 yd^2

Step-by-step explanation:

The triangle area is given by the formula ...

  A = 1/2bh

Here, the base is 10 yd, and the height is 5 yd, so ...

  triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2

__

The semicircle is half the area of a circle with radius 5 yd, so its area is ...

  semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2

__

The shaded region is the difference between these areas:

  shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2


Related Questions

In ΔXYZ, the measure of ∠Z=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ∠X?

Answers

Answer:

12/37

Step-by-step explanation:


Mrs. Tollett's class is working on a
recycling project. The students
are collecting aluminum cans. Over
three days, they collected 88 cans,
113 cans, and 73 cans. How many
cans did they collect in all?​

Answers

Answer:

274

Step-by-step explanation:

113+88+73

Perform the operation (7x3)+(- 2x3/8x2)

Answers

(7x3) + (-2 x 3/ 8 x 2)
21 + (-6) (16)
21+96
117

Find the slope of the line passing through each of the following pairs of points and draw the graph of the line.

(6, −7), (6, 1)

Answers

Answer: undefined; vertical line

Step-by-step explanation:

To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{1-(-7)}{6-6} =\frac{8}{0}[/tex]

The slope is undefined because you cannot divide anything by 0.

The graph of the line is a vertical line at x=6. We know this because the points are both at x=6, with different y-values.

Could the product of a positive integer and a negative integer be positive? Explain.

Answers

Answer: the product is always positive.

Step-by-step explanation: Rule 1: The product of a negative integer and a positive integer is a negative integer. Rule 2: The product of two positive integers or two negative integers is a positive integer. That means if you multiply two OF the same sign numbers, the product is always positive.

Answer: No because the product of a positive integer and a negative integer is always negative.

The inverse of f(x) = 2x + 3 is
O True
O False

Answers

The inverse of f (×) =2× + 3 is

yes it is true

I had this question before but the Answer is True :)

Find the inverse transform by convolution: 4 (s-3)(s-2) C.27.

Answers

I suppose you're asking about the inverse Laplace transform of

[tex]F(s)=\dfrac4{(s-3)(s-2)}[/tex]

by way of the convolution theorem.

The theorem itself says that

[tex]\mathscr L^{-1}\{A(s)B(s)\}=(a*b)(t)[/tex]

where [tex]A(s)[/tex] and [tex]B(s)[/tex] are the Laplace transforms of [tex]a(t)[/tex] and [tex]b(t)[/tex], respectively.

Let [tex]A(s)=\frac1{s-3}[/tex] and [tex]B(s)=\frac1{s-2}[/tex]. Then

[tex]a(t)=\mathscr L^{-1}\left\{\dfrac1{s-3}\right\}=e^{3t}[/tex]

[tex]b(t)=\mathscr L^{-1}\left\{\dfrac1{s-2}\right\}=e^{2t}[/tex]

So we have

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=e^{3t}*e^{2t}[/tex]

Convolution is defined as

[tex](a*b)(t)=\displaystyle\int_0^t a(t-\tau)b(\tau)\,\mathrm d\tau[/tex]

The convolution of [tex]e^{3t}[/tex] and [tex]e^{2t}[/tex] is

[tex]e^{3t}*e^{2t}=\displaystyle\int_0^t e^{3(t-\tau)}e^{2\tau}\,\mathrm d\tau[/tex]

[tex]=\displaystyle e^{3t} \int_0^t e^{-\tau}\,\mathrm d\tau[/tex]

[tex]=e^{3t}(1-e^{-t})=e^{3t}-e^{2t}[/tex]

We end up with

[tex]\mathscr L^{-1}\left\{\dfrac4{(s-3)(s-2)}\right\}=\boxed{4(e^{3t}-e^{2t})}[/tex]

can someone do it :) Simplify 5(x - 6).

Answers

Answer:

5x - 30

Step-by-step explanation:

I used the distributive property and I think I got it.

Answer:

5 x minus -30

x is equal to -6

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Zoe mows the lawn in the summer to earn extra money she usually charges $15 per week but she offers a special rate of $59.50 if a customer prepaid for 5 weeks. how much does a customer pay for each week with a special rate?​

Answers

Answer:$11.90

Step-by-step explanation:

Divide 59.50 by 5

express the mass 6,200,000 kilograms using scientific notation in kilograms, and then in grams.

Answers

Answer:

620000000

Step-by-step explanation: 6.2 10^8

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form,62*10^5 is the scientific notation of 6,200,000 kilograms

We need to express 6,200,000 kilograms using scientific notation in kilograms.

What is scientific notation?

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to express 6,200,000 kilograms into scientific notation

The format for scientific notation is a x 10^b where a is a number or decimal number such that the absolute value of a is greater than or equal to one and less than ten or, 1 ≤ |a| < 10.

Now 62*10^5 is the required scientific notation.

Therefore 62*10^5 is scientific notation of 6,200,000 kilograms.

To learn more on scientific notation click here:https://brainly.com/question/1705769

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Kai had a gross weekly paycheck of $616 last week. Kai worked 6 hours for 4 of the days and 8 hours on 1 day. What is Kai's hourly rate of pay? a. $16.21 b. $19.25 c. $20.53 d. $25.67 Please select the best answer from the choices provided

Answers

The correct answer is B. $ 19.25

Explanation:

To calculate the hourly rate of pay, first, let's calculate the total number of hours Kai worked, and then divide the total earned into the number of hours.

6 hours x 4 days = 24 hours

8 hours x 1 day = 8 hours

24 hours + 8 hours = 32 hours

This shows Kai worked a total of 32 hours. Now to find the hourly rate of pay, follow this procedure:

$616 (total earned) ÷ 32 hours = $19.25 each hour

This means Kai earns $19.25 for each hour of work and therefore the hourly rate of pay is $19.25.

Answer:

B

Step-by-step explanation:

____________ prove that the people traded over long distances. a. Ancient tree stumps, discovered by scientists, b. Written records c. Buildings that were built with logs from mountains about 50 miles away d. Oral traditions

Answers

Answer:

It’s c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

-2X=-42
What do I do to this problem

Answers

You divide -42 by -2 and then you get X
X= 21

10x2-10x+2 from 8x2+7-7

Answers

Step-by-step explanation:

10x2-10x+2

20-10x+2

22-10x

8x2+7-7

16+0

16

I'm confused so I add together cuz why not?

16+22-10x

28-10x

Describe how each model can help you round a decimal.
You

Answers

You didn’t put a picture so I’m not sure

Solve by completing the square x^2+6x+13=0

Answers

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

PLEASE HELPP!! Round each mixed number to the nearest whole number. Then, estimate the sum.
14 11/12 + 3 1/6

Answers

Answer:

Step-by-step explanation: 14 11/12 rounds up to 15 and 3 1/6 is closer to 3 so the answer would be 18

What is the area of the triangle?
20
16
12
units

Answers

Answer:

3840

Step-by-step explanation:

Hope this helps you out

What is a complementary angle versus a supplementary angle?
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

If sum of two angles equals
90

then the two angles are said to be complementary.
If sum of two angles equals
180

then the two angles are said to be supplementary.
Verticall Angles are the angles opposite each other when two lines cross. They are always equal. "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

f(x)=-6x-8, what if f(-3)

Answers

Answer:

f(-3) = 10

Step-by-step explanation:

Simply plug in x as -3 to find f(-3):

f(-3) = -6(-3) - 8

f(-3) = 18 - 8

f(-3) = 10

In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometer per hou calculate how long it takes to reach the sea.​

Answers

Answer:

Distance = rate x time or d = rt...that means time t = d/r...and we have

t = 21 km / .5 km/hr = 42 hr

Step-by-step explanation:

The amount of time taken by the lava to reach the sea will be 42 hours.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. The speed is a scalar quantity it only requires magnitude to represent.

Given In a volcano, erupting lava flows continuously through a tube system about 17 kilometers to the sea. Assume a lava flow speed of 0.5 kilometers per hour.

The distance will be calculated as below:-

Distance = rate x time  

d = r x t

t = d / r

t = 21 km / .5 km/hr

t = 42 hr

Therefore, the amount of time taken by the lava to reach the sea will be 42 hours.

To know more about Speed follow

https://brainly.com/question/6504879

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expressions that are equivalent to -8.

Answers

Answer:

f(1)=5x-13=-8

Step-by-step explanation:

5-13=-8

or

f(1)=5x-13=-8

Write 4/9 as a decimal? ​

Answers

0.44 repeating

Brainliest?

Answer: 0.44

Step-by-step explanation:

Given that U = {1, 2, 3, 4, 5, 6), find the complement of the set A = {1, 3, 5).

Answers

Answer:

complement of set A={2,4,6}

hope it helps

plz mark as brainliest

8÷2(2+2) is 16 right or is it 1

Answers

the answers 16 if you need an explanation then ill comment one.....!

Answer:

16

Step-by-step explanation:

8 :2 ×(2 +2) =

4 ×4 =

16

PLSS HELPPP 20 POINTS

Which of the following is the best way of selecting a random sample from students at King
Middle School?

a) Use the student directory, toss a number cube, start from that name, and select every tenth person.

b) Select every student from one grade.

c) Use the student directory, pick one student's name by chance, and then pick another student's
name.

d) Pick every tenth person who arrives at school by bus.

Answers

Answer:

a

Step-by-step explanation:

just did it

Answer:the 2nd one is the answer it's easy I just did it :

Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

2x - y = -4

-y = -2x - 4

y = 2x + 4

Since the 2 lines are parallel, they have the same slope.

Step 2: Define variables

Slope m = 2

Origin (x-int and y-int) (0, 0)

Step 3: Write parallel linear equation

y = 2x + 0

y = 2x

f(x)=2x^7 find the domain and range

Answers

Answer:

Domain:

-∞<x<∞, or (-∞,∞) in interval notation

Range:

-∞<f(x)<∞, or (-∞,∞) in interval notation

Step-by-step explanation:

It’s infinite both ways, so:

Domain:

-∞<x<∞, or (-∞,∞) in interval notation

Range:

-∞<f(x)<∞, or (-∞,∞) in interval notation

Point V is on line segment UW, given VW = x + 7, UW = 3x - 9, and UV = 8, determine the numerical length of UW

Answers

Answer:

The numerical length of UW is 27

Step-by-step explanation:

a preschool student finds a big bag of cookies and begins to take the cookies from the bag and hide them in her cubbyhole. after hiding 3 cookies, she decides to keep count of how many cookies are actually in her cubbyhole. first there are 3 cookies. after pulling out more cookies, she then has 5 cookies, then 7 cookies, and then 9 cookies. however, she only knows how to count to 10! assuming she continues to pull cookies from the bag at the same rate indicated by the sequence of cookies above, how would the preschool student continue the pattern? describe the arithmetic sequence in this context.

Answers

Answer:She will count the cookies by 2's

Step-by-step explanation:

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