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3 years ago

Write 2 expressions using trigonometric ratios that are equivalent to 40/41.

Mathematics

1 answer:

Whitepunk [10]3 years ago

7 0

Answer:

cos(F) = 40/41

sin(G) = 40/41

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

In your triangle 41 is the hypotenuse, so these two ratios are appropriate ones to use. The side of length 40 is adjacent to angle F, so

... cos(F) = 40/41

and the side of length 40 is opposite angle G, so

... sin(G) = 40/41

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<h3>Volume of the remaining solid = 628 cm^2</h3>

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Step-by-step explanation:

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therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

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