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3 years ago

What is the measure of 143° 61° Enter the answer in the box.

Mathematics

1 answer:

Keith_Richards [23]3 years ago

5 0

Answer:

angle CAB=37° angle ABC=82°

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Find the constant of proportionality that creates a direct proportion between x and y,

Fofino [41]

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

4 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 perimeter of the triangle.

Klio2033 [76]

9514 1404 393

Answer:

84 in

Step-by-step explanation:

The Pythagorean theorem is used to find the length 'b'.

b^2 +12^2 = 37^2

b = √(37^2 -12^2) = √1225 = 35

Then the perimeter is the sum of side lengths:

P = a + b + c = 12 + 35 + 37

P = 84 . . . inches

8 0

3 years ago

Read 2 more answers

Find the area of a compound shape<br><br> Can you please explain

gtnhenbr [62]

Answer:

$A=292.53~m^2$

Step-by-step explanation:

<u>Area of a Compound Shape</u>

The shape shown in the image is made of two shapes: Half a circle of radius 8 m and a triangle of base 24 m and height 16 m.

The area of a circle of radius r is:

$A_c = \pi r^2$

The area of a triangle of base b and height h is:

$\displaystyle A_t=\frac{b.h}{2}$

Calculate the area of the circle:

$A_c = \pi 8^2$

$A_c = 64\pi$

Area of half the circle:

$A_c/2 = 32\pi~m^2$

Area of the triangle:

$\displaystyle A_t=\frac{24\cdot 16}{2}$

$A_t=192~m^2$

The area of the shaded shape is:

$A=32\pi~m^2+192~m^2$

Substituting the value of pi:

$\mathbf{A=292.53~m^2}$

4 0

3 years ago

What's 7⁄8 as a decimal? A. 8.7 B. .875 C. .78 D. 7.8

LuckyWell [14K]

7/8 is equal to 0.875

3 0

3 years ago

Read 2 more answers