Answer:
u + v = < 8, 3 >
Step-by-step explanation:
u + v
= < 7, 4 > + < 1, - 1 > ← add corresponding components
= < 7 + 1, 4 - 1 >
= < 8, 3 >
Answer:
6.28 gallons
Step-by-step explanation:
first we need to find the area of a half sphere, and then find how much paint will be needed for that area.
The area of a sphere:

thus, the area of half a sphere is:

we know that the radius is:

we substitute this to find the area of the half sphere (the area they need to paint):

now the question is how many gallons of paint are needed to paint 2,513.27 square feet.
We are told that 1 gallon covers 400 square feet
thus, we must divide 2,513.27 by 400:

6.28 gallons of paint are needed.
Answer:
64
Step-by-step explanation:
88-24=64 which is the right answer
Answer:
The volume of the triangular pyramid is (1/3) of the volume of the triangular prism
Step-by-step explanation:
Volume formulas:
Triangular Pyramid Volume = T = (1/3)*h * (base area)
Triangular Prism Volume = P = h * (base area)
P = 3 * T
and T = (1/3)* P