3 years ago

100 PTS

Mathematics

2 answers:

Digiron [165]3 years ago

7 0

Answer:

69 yards

Step-by-step explanation:

Perimeter = 2(length + width)

300 = 2(81 + width)

150 = 81 + width

width = 69

navik [9.2K]3 years ago

5 0

Step-by-step explanation:

Step 1: Find the width

$P = 2(L * W)$

$300 = 2(81 * W)$

Distribute

$300 = 2(81 * W)$

$300 = (2 * 81) + 2W$

Subtract 162 from both sides

$300 = (2 * 81) + 2W$

$300- 162 = 162 - 162 + 2W$

$138 = 2W$

Divide both sides by 2

$138 / 2 = 2W / 2$

$69 = W$

Answer: The width is 69 yards

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Find the length of the darkened arc. Leave your answer in terms of pi.

jonny [76]

Answer:

$\frac{15 }{4} \pi \:$

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

$length \: of \: arc \\ = \frac{150 \degree}{360 \degree} \times 2\pi \: r \\ \\ = \frac{150 \degree}{360 \degree} \times 2 \times \pi \: \times 9\\ \\ = \frac{5 }{12 } \times 18 \times \pi \: \\ \\ = \frac{5 }{4} \times 3\times \pi \:\\ \\ = \frac{15 }{4} \pi \:$