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romanna [79]
4 years ago
15

A student bought 34 pencils for school. If he sharpened 16 of the pencils before school, what is his ratio of unsharpened pencil

s to sharpened pencils?
Mathematics
1 answer:
velikii [3]4 years ago
3 0
18:16 so yea, it was hard for me too at first
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Lady bird [3.3K]

Answer:

h = 3\sqrt{3}

c = 4\sqrt{2}

Step-by-step explanation:

✔️Finding h using trigonometric ratio:

Reference angle = 60°

Opposite = h

Adjacent = 3

Thus:

tan(60) = \frac{h}{3}

\sqrt{3} = \frac{h}{3} (tan 60 = √3)

Multiply both sides by 3

3\sqrt{3} = h

h = 3\sqrt{3}

✔️Finding c using trigonometric ratio:

Reference angle = 45°

Hypotenuse = 8

Adjacent = c

Thus:

cos(45) = \frac{c}{8}

\frac{\sqrt{2}}{2} = \frac{c}{8} (cos 45 = √2/2)

Multiply both sides by 8

\frac{\sqrt{2}}{2} \times 8 = c

\sqrt{2} \times 4 = c

c = 4\sqrt{2}

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3 years ago
Max sprints forward 10 feet and then stops and sprints
Dafna11 [192]

Answer:

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Step-by-step explanation:

max is 5 feet behind from where he started

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Step-by-step explanation:

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A rectangular vegetable patch is 93 feet long and 37 feet wide. What is its area?
stealth61 [152]

Answer:

A= 3441

P = 260

Step-by-step explanation:

Area = l x w

93 x 37 = =3441

Perimeter = 2l + 2w

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