You have a coin bank in the shape of a cylinder. it has a radius of 1.5 inches and a height of 5 inches. what is the surface area of the coin bank? use 3.14 to approximate pi. round your answer to the nearest hundredth.

Step-by-step explanation:

The top and the bottom are easiest to find.

Area_top = pi*r^2

r = 1.5

Area_top = 3.14 * 1.5^2

Area_top = 3.14 * 2.25

Area_top = 7.065

But there are 2 of them (top and bottom) which is 14.13

Area of the body of the cylinder

Area body = circumference of the circle * height

C = 2*pi*r

r = 1.5

C = 2 * 3.14 * 1.5

C = 9.42

Area body = 9.42 * 5

Area body = 47.1

The sum of both of these is the answer you want

47.1 + 14.13 = 61.23 square inches.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c