Ask question

Ask question

All categories

2 years ago

15

Find the area of the shape. Either enter an exact answer in terms of π or use 3.14, point, for π and enter your answer as a deci

mal.

1 answer:

vredina [299]2 years ago

7 0

Answer:

25π

Step-by-step explanation:

1) for whole circuit: A=π*r², where r - radius of the given circle;

2) for a quater of the circuit: A=πr²/4;

3) finally, A=π*100/4=25π.

You might be interested in

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par

mylen [45]

Answer:

The similar triangles are $\triangle BPE$ and $\triangle BCG$

$BE = 321$ and $PE =286$

Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are $\triangle BPE$ and $\triangle BCG$

Solving (b): Why they are similar

Both triangles are similar because $\triangle BCG$ is dilated (i.e. enlarged) and then reflected to give $\triangle BPE$ .

Solving (c): Calculate BE and PE

The following are equivalent ratios

$BP: BC = BE : BG$

and

$BP: BC = PE : CG$

Solving for BE, we have:

$BP: BC = BE : BG$

Substitute the known values

$250:350 = BE:450$

Express as fraction

$\frac{250}{350} = \frac{BE}{450}$

Multiply both sides by 450

$450 * \frac{250}{350} = BE$

$321 = BE$

$BE = 321$ -- approximated

Solving for PE, we have:

$BP: BC = PE : CG$

Substitute known values

$250:350 = PE:400$

Express as fraction

$\frac{250}{350} = \frac{PE}{400}$

Multiply both sides by 400

$400 * \frac{250}{350} = PE$

$286 = PE$

$PE =286$

5 0

3 years ago

The temperature at 10:00 am was -3 degrees Fahrenheit and increased 2.25 degrees Fahrenheit each hour for the next 5 hours. What

Trava [24]

3+2.25*5

8 degrees

Mark brainliest please

8 0

2 years ago

The number of hits on a website doubles every month. About 10,600 people visited the website during May. The expression 10,600 ·

Ivanshal [37]

Answer:

The correct option is;

B. 10,600; 2,650; About 10,600 people visited the website in May. About 2,650 people visited the website in March

Step-by-step explanation:

The given parameters are;

The number of people that visit the website every month = 2 × The number of people that visited the website the previous month

The number of people that visit the website during May ≈ 10,600

The number of visitors of the website are given by the expression 10,600 × $2^t$

For t = 0, we have;

The number of visitors of the website = 10,600 × 2⁰ = 10,600

For t = -2, we have;

The number of visitors of the website = 10,600 × 2⁻² = 2,650

Therefore, the website had about 10,650 visitors in May and about 2,650 visitors in 2 months earlier in March.

3 0

3 years ago

An object is launched with a velocity at 64 feet per second from a platform 30 feet high. the function H(t)= -16t2+64t+30 repres

PolarNik [594]

To find the maximum or minimum value of a function, we can find the derivative of the function, set it equal to 0, and solve for the critical points.

H'(t) = -32t + 64

Now find the critical numbers:

-32t + 64 = 0

-32t = -64

t = 2 seconds

Since H(t) has a negative leading coefficient, we know that it opens downward. This means that the critical point is a maximum value rather than a minimum. If we weren't sure, we could check by plugging in a value for t slightly less and slighter greater than t=2 into H'(t):

H'(1) = 32

H'(3) = -32

As you can see, the rate of change of the object's height goes from increasing to decreasing, meaning the critical point at t=2 is a maximum.

To find the height, plug t=2 into H(t):

H(2) = -16(2)^2 +64(2) + 30 = 94

The answer is 94 ft at 2 sec.

4 0

3 years ago

A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend

Fiesta28 [93]

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

5 0

2 years ago