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amid [387]
3 years ago
8

A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?

Mathematics
2 answers:
lianna [129]3 years ago
4 0

Answer:

The area of the sector is 12.8\pi\ units^2

Step-by-step explanation:

we know that

The area of a complete circle (16π units^2) subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector , if the central angle is equal to 8π/5 radians

\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2

Bumek [7]3 years ago
4 0

Answer: 12.8pie

Step-by-step explanation:

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Volume of recangular prisms is l*w*h, triangular prism is (l*w*h)/3

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3 years ago
Twice the sum of a number and 3 is equal to three times the difference of the number and 6. Find the number.
vfiekz [6]

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Step-by-step explanation:

7 0
2 years ago
One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
Aloiza [94]

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

8 0
3 years ago
9100 dollard placed into an account with an annual intrest of 5% to the neareast year how long will it take for the account to v
shusha [124]

Answer:

81 years

Step-by-step explanation:

The answer is 81 because 5% of 9100 is 455 and 36900 divided by 455 is rounded to 81.

4 0
3 years ago
Need help help for 30 points
Ira Lisetskai [31]
It would be 2.4 times 10. I got this answer because there is 24 shaded in, so I divided it by 10 and got 2.4. The other answers could also be 6 times 4, 8 times 3, 2 times 12, 1 times 24.                                           I hope this helps. <3
8 0
3 years ago
Read 2 more answers
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