All categories

2 years ago

In circle J with m \angle HJK= 92m∠HJK=92 and HJ=9HJ=9 units find area of sector HJK. Round to the nearest hundredth.

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

6 0

Answer:

65.03square units.

Step-by-step explanation:

Find the diagram in the attachment below.

Area of the sector HJK = theta/360° × πr²

theta is the angle subtended by the sector = ∠HJK = 92°

r is the radius = HJ = 9units.

Substituting the given values in the formula:

Area of sector HJK = 92°/360° × π(9)²

Area of sector HJK = 23,399.28/360

Area of sector HJK = 65.03 square units to nearest hundredth

You might be interested in

Write an algebraic expression for the verbal expression 8 to the fourth power increased by 6

sdas [7]

$8^{4} +6$ . I think that's right?

7 0

3 years ago

What is the difference :8/7-1/3<br> -31/21<br> --7/4<br> -17/21<br> -4/7

Tema [17]

8/7-1/3

Make both fractions have the same common denominator

24/21 - 7/21

Subtract the numerators while keeping the denominator the same

Final Answer: C. 17/21

7 0

2 years ago

Read 2 more answers

Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

2 years ago

A burro is standing near a cactus. The burro is 58 in. tall. His shadow is 4 ft long. The shadow of the cactus is 8 ft long. Wha

Sever21 [200]

To find the height of the cactus, make a ratio.

58 inches divided by 4 feet equals x inches divided by 8 feet.

58/4 = x/8

14.5 = x/8

116 = x

The height of the cactus is 116 inches.

8 0

3 years ago

The function I(x) = x is called?

Serga [27]

Answer:

absolute value function

Step-by-step explanation:

5 0

1 year ago

Read 2 more answers