1. if the surface area of a square pyramid is 2225 yards squared. the base of the pyramid has a length of 25 yards. what is the height of the slant on one of the lateral faces?
2. the surface area of the cone below is about 151.58 inches squared. the radius of the base is 4 inches. what is the slant height? use 3.14 for pi. round your answer to the nearest whole number.

1) 32

2) 8 yards

Step-by-step explanation:

1. We must first subtract the base area of the pyramid from the total surface area to get the lateral surface area:

The lateral surface area is 4 times the area of one the congruent triangles.

Therefore the height of the slant surface is 32 yards

2) The surface area of a cone is , where l is the slant height.

We substitute the surface area S.A=151.58 and to obtain:

l=8.06

To the nearest whole number, the slant height is 8 yards

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".