Let 0 represent the smaller of the acute angles of a right triangle such that tan0= 0.75. The longer leg of the right triangle measures 10 feet. What is the length of the shorter leg?

Length of shorter leg = 7.5 ft

Step-by-step explanation:

It is given as,

tan 0 = 0.75

tan ratio is given as opp/ adj

Let us consider the opp. side is the shorter leg and the adj side is the longer leg.

tan 0 = Opp/ adj = x/ 10

x/10 = 0.75

x = 0.75 × 10 = 7.5 ft

So length of the shorter leg is 7.5 ft.

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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