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bearhunter [10]
3 years ago
5

a circle with radius 3 has a sector with a central angle of 17/9 pi radians. what is the area of the sector?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

The area of the sector is 26.69

Step-by-step explanation:

First of all we need to calculate the area

To solve this problem we need to use the area formula of a circle:

a = area

r = radius =   3

π = 3.14

a = π * r²

we replace with the known values

a =  3.14 *  (3)²

a =  3.14 * 9

a = 28.26

The area of the circle is 28.26

A complete circle has 2pi radians

We divide 17/9 pi by 2pi and obtain the fraction of the total circle

(17pi/9) / 2pi = 17/18

we multiply this fraction with the area of the circle and obtain the area of the sector

28.26  * 17/18 = 12.43cm

The area of the sector is 26.69

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Solve system of equations for x + y: 3x + 2y = -18 & 2x + 9y =-12
blondinia [14]

Answer:

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Step-by-step explanation:

Given the 2 equations

3x + 2y = - 18 → (1)

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Multiplying (1) by 2 and (2) by - 3 and adding will eliminate the term in x, that is

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Add (3) and (4) term by term to eliminate x

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3 years ago
If the interest rate is 7%, how many years will it take for your bank balance to double from $1,000 to $2,000?Enter the followin
svlad2 [7]

Answer:

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Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

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In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

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We have that P = 1000, I = 0.07

We want to find t when E = 1000, so T = P + E = 2000.

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t = \frac{1}{0.07}

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It will take 14.29 years for your bank balance to double from $1,000 to $2,000.

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Paraphin [41]

The answer would be D. When it comes to home loans, having a good payment record and a decent job history is important. It is in this way that lenders are going to have the assurance they need with regards to being paid back on time with the money they lent. 

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