X / 96.6 = (80.5 - 35) / 80.5 ( because the small and large triangles are similar, because of the parallel lines)
x / 96.6 = 45.5 / 80.5
x = 96.6 * 45.5 / 80.5 = 54.6 m (answer)
Answer: 3π
I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.
Step-by-step explanation:
To convert from degrees to radians, you multiply by π/180.

First bracket it will be 180x
and second 30x
So final answer is 180x + 30x = 210x
Well since all of them are the same we have to look for one common number and given that they are all acute angles id say its about 30 or 50
Answer: the diameter of the can is 2.8 inches
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
height = 4.5 inches
Volume of can = 454 millilitres
1 cubic inch = 16.387 millilitres
Converting 454 millilitres to cubic inches, it becomes
454/16.387 = 27.7 cubic inches
Therefore
27.7 = 3.14 × r² × 4.5
27.7 = 14.13r²
r² = 27.7/14.13
r² = 1.96
r = √1.96
r = 1.4
Diameter = 2 × radius
Diameter = 2 × 1.4 = 2.8 inches