Use the ratio of a 30-60-90 triangle to solve for the variables.​

x = 10 units, y = 5 units

Step-by-step explanation:

Given triangle ABC is a 30-60-90 triangle,

m∠C = 60°

By applying Sine rule in the given triangle,

Sin(60)°= Opposite Side/ Hypotenuse

Sin(60)°= AB/AC

x = 10 units

Similarly, by applying Cosine rule in the given triangle,

Cos(60)° = Adjacent side/hypotenuse

Cos(60)° = BC/AC

1/2=y/x

y=x/2

y = 5 units

Therefore, x = 10 units and y = 5 units will be the answer.

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