Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.

113.1 unit²

Step-by-step explanation:

A cylinder is a shape with two round ends and two parallel lines connecting the round ends.

Height=9  unit, Base=4 unit

The lateral surface area of a cylinder (A) is given by the equation:

where r is the radius of the cylinder and h is the height of the cylinder.

Given that the base = 4 unit, therefore the diameter (d) = base = 4 unit. Also the height (h) = 9 unit.

Radius (r) = d/2 = 4/2 = 2 unit

Calculating the area of the cylinder is as follows

The area of the cylinder is 113.1 unit²

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq