Ellis is painting wooden fenceposts before putting them in his yard. They are each 5 feet tall and have a diameter of 1 foot. There are 10 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 10 fenceposts? Use 3.14 for π, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit

The quantity of paint that will be needed will be that which can cover

Step-by-step explanation:

We will be working with the assumption that the fence posts are all cylindrical in shape. This is because we are given their diameters

The quantity of paint used will be equal to the total surface area of the cylinders.

Since the wooden poles can be represented by closed cylinders geometrically, the Total Surface Area is

r = radius of post = 0.5 feet

T. S. A =

Since there are 10 fence posts, the total surface area will be multiplied by 10. =  

As said earlier, the quantity of paint used will be equal to the total surface area of the cylindrical fence posts. Hence the quantity of paint that will be needed will be that which can cover

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

the answer is b. 60. each interior angle in 120, so the exterior angle must be 60 in order to add up to 180

step-by-step explanation: