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adoni [48]
2 years ago
12

Need some help with this question please

Mathematics
1 answer:
Serggg [28]2 years ago
4 0

Answer:

\frac{15}{17}

Step-by-step explanation:

  • \cos( \alpha )  =  \frac{ad}{hip}  \\  \\  \sin( \alpha )  =  \frac{op}{hip}

Pythagorean theorem

hip² = op² + ad²

17² = x² + 8²

x² = 17² - 8²

x \:  =  \sqrt{{17}^{2}  -  {8}^{2} }  \\ x =  \sqrt{289 - 64}  \\ x =  \sqrt{225}  \\ x = 15

\sin( \alpha )  =   - \frac{15}{17}

\sin( -  \alpha )  =  \frac{15}{17}

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The perimeter of a playing field for a certain sport is 254 ft. The length is 47 ft longer than the width. Find the dimensions.
Vikentia [17]

Answer: the length is 87 feet

The width is 40 feet

Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

L + W = 254/2

L + W = 127 - - - - - - - - - - - -1

The length is 47 ft longer than the width. This means that

L = W + 47

Substituting L = W + 47 into equation 1, it becomes

W + 47 + W = 127

2W + 47 = 127

2W = 127 - 47 = 80

W = 80/2 = 40

L = W + 47 = 40 + 47

L = 87

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3 years ago
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Black_prince [1.1K]

Answer:

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Step-by-step explanation:

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