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3 years ago

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A circle has a sector with area 24/5 pi and central angle of 48 degrees. What is the area of the circle?

2 answers:

Nonamiya [84]3 years ago

5 0

(24/5)π = (48/360) A

(24/5)π = (15/2) A

(24/5)π × (2/15) = A

(8/5)π × (2/5) = A

(16/25)π = A

Schach [20]3 years ago

3 0

Answer:36 pi

Step-by-step explanation:

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Given that F(x) =x^2+2, evaluate F(2)

maria [59]

Answer:

F(2) = 6

Step-by-step explanation:

Given that F(x) =x^2+2, evaluate F(2).

The above equation is a function of x

Such that for every value of x at a given time, the equation results to equation takes a different value at that time. For every value of x, the value is simply substituted into the equation to find the solution of the equation at that point. The above equation is a quadratic function since the highest power of x is 2.

F(x) =x^2+2,

To evaluate F(2),

Substitute x = 2 in equation x^2+2

It becomes

2^2 + 2 = 4 + 2 = 6

So F(2) = 6

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3 years ago

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MArishka [77]

Answer:

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Step-by-step explanation:

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3 years ago

1)<br> f(x) = 2|x-4| + 3<br> a =<br> h =<br> K=<br> Vertex = ( , )

nadezda [96]

Answer:

See below

Step-by-step explanation:

f(x) = a(x - h)^2 + k

f(x) = 2(x-4)^ 2 +3 ? correct me If incorrect

a h k

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4 0

3 years ago

X/9+3<4 what is the solution to the ineqaulity

11111nata11111 [884]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the solution to the inequality:

$\star~\large\pmb{\cfrac{x}{9}+3 < 4}$

$\triangle~\fbox{\bf{KEY:}}$

First, subtract 3 from both sides, then multiply both sides by the denominator.

<u>Step 1.</u>

<u></u>

<u></u> $\star~\large\pmb{\cfrac{x}{9} < 4-3}$

$\star~\large\pmb{\cfrac{x}{9} < 1}$

<u>Step 2.</u>

<u></u>

<u></u> $\star~\large\pmb{\cfrac{x}{9}\times9 < 1\times9}$

Notice that on the left, the 9s cancel, and we're left with x.

<u>Step 3.</u>

<u></u>

<u></u> $\star~\large\pmb{x < 9}$

This is the solution.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

3 0

3 years ago

Read 2 more answers

A surveyor wants to know the length of a tunnel built through a mountain. According to his equipment, he is

MrMuchimi

Answer:

Length of the tunnel is 51.7 meters

Step-by-step explanation:

We are given that,

The surveyor is located 54 meters from one entrance at an angle of 56°.

The surveyor is located 31 meters from one entrance at an angle of 13°.

Let the length of the tunnel = x meters

So, using the law of cosines, we get,

$x^2=54^2+31^2-2\times 54\times 31\times \cos 69$

i.e. $x^2=2916+961-3348\times 0.3584$

i.e. $x^2=3877-1199.9$

i.e. $x^2=2677.1$

i.e. x = 51.7 meters

Hence, the length of the tunnel is 51.7 meters

5 0

3 years ago