Ineed correct answers only !

find the cosine of ∠f.

write your answer as an integer or as a decimal rounded to the nearest hundredth.

cos(f) =

0.51

Step-by-step explanation:

Use knowledge of trigonometric ratios to find cos(F).

Remember:

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

In this case, we're dealing with cosine, so let's use the cosine formula.

cos(F) = adjacent/hypotenuse

When you look at the diagram, you can see that the you are only given opposite and hypotenuse, so we still need the length of the adjacent side.

Since this is a right triangle, we can use the Pythagorean Theorem, , to find the length of the adjacent side.

So + 56² = 65².

Solve for a.

+ 3136 = 4225

= 4225 - 3136 = 1089

a = √1089 = 33

Now that we know the length of the adjacent side, we can go back and use the cosine formula.

cos(F) = adjacent/hypotenuse

cos(F) = 33/65 ≈ 0.51

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Step-by-step explanation:

4

step-by-step explanation:

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere