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icang [17]
2 years ago
10

A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the

sides is 53°. Find the area of the park to the nearest square foot.
Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0

Answer:

111,739 square feet

Step-by-step explanation:

Two adjacent sides of the park say x and y are,

x=533feet

y=525feet

A=53º

area=1/2*b*c*sin(A)

111739 feet^2

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A company is looking to fill its Board of Directors position. 3 positions will be for men, 2
ycow [4]

Answer:

1764 ways

Step-by-step explanation:

Given:

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Women = 7

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Required Women: 2

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Required

Total Possible Outcome

The total possible outcome can be determine as follows;

Total = (Selection of Men) and (Selection of Women)

Calculating Selection of Men;

Let n represent total number of men; This implies that n = 9;

Let r represent number of men to select; This implies that r = 3;

The selection can be done in the following ways;

Male = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Male = 9C3

Male = \frac{9!}{3!(9-3)!}

Male = \frac{9!}{3!(6)!}

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Male = \frac{9 * 8 * 7}{3!}

Male = \frac{9 * 8 * 7}{3*2*1}

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Calculating Selection of Women;

Let n represent total number of men; This implies that n = 7;

Let r represent number of men to select; This implies that r = 2;

The selection can be done in the following ways;

Female = nCr

Where nCr = \frac{n!}{r!(n-r)!}

Female = 7C2

Female = \frac{7!}{2!(7-2)!}}

Female = \frac{7!}{2!(5)!}

Female = \frac{7 * 6 * 5!}{2!5!}

Female = \frac{7 * 6}{2!}

Female = \frac{42}{2*1}

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Total = (Selection of Men) and (Selection of Women)

Hence,

Total = 84 * 21

Total = 1764 ways

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