Ask question

Ask question

All categories

3 years ago

10

A rectangle is placed around a semicircle as shown below. the length of the rectangle is 18yd . find the area of the shaded regi

on. use the value 3.14 for π , and do not round your answer. be sure to include the correct unit in your answer.

1 answer:

VladimirAG [237]3 years ago

7 0

The length of the rectangle is 18yd, therefore, the area of the shaded part is 56.52

You might be interested in

Find the area if the figure using 3.14

Veronika [31]

The area of the square is 9, the area of all the semi circles added together is 15.7, when you add them together you get 24.7

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E2%20%5Cleft%28%20%5Csqrt%5B3%5D%7B%20%7Bx%7D%5E%7B2%7D%20%20%2B%20

Verizon [17]

If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

$\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx$

Let $f(x) = \sqrt{1 + x^3}$ . Compute the inverse:

$f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}$

and we immediately notice that $f^{-1}(x+1)=\sqrt[3]{x^2+2x}$ .

So, we can write the given integral as

$\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx$

Splitting up terms and replacing $x \to x-1$ in the first integral, we get

$\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}$

7 0

2 years ago

Find the length of the longer leg of a 30⁰-60⁰-90⁰ triangle given the length of the shorter leg: 15 in.

erica [24]

Answer:

longer leg is 30 inches

Step-by-step explanation:

3 0

3 years ago

Can anyone help me please, if you see this and willing to help me with something say yes! thank you. have great day!

malfutka [58]

Answer:

I am willing to help, just send your problems in the comments!

Step-by-step explanation:

You can send the problem in the comments or create a separate question.

6 0

2 years ago

A positive number is 1/4 of another positive number. If the difference is 60 find two positive numbers. I need help Pewase

Varvara68 [4.7K]

Answer:

60 1/4

Step-by-step explanation:

x-1/4=60

x=60+1/4

x=60 1/4

3 0

3 years ago