I dont know 12 but look up the formula for slant height of a hexagonal pyramid. But for the first one
the volume of the cylinder you have to use the formula: V=pi r^2h
V= pi(5)^2(8)
V= 200pi
V= 628.32in^3
Divide 32 by 6 to get a repeating decimal of 5.333333333......... .333 repeating is the same thing as the fraction 1/3. So each headband takes 5 1/3 inches of fabric.
Solve for y in one of the equations.
4x + y = 11
Subtract 4x from both sides.
y = -4x + 11
Substitute y in the other equation.
8x + 2(-4x + 11) = 13
Simplify.
8x + -8x + 22 = 13
Subtract 22 from both sides.
0 = -9
No solutions.
Answer: The value necessary from the set to make the equation true was 11.
Step-by-step explanation:
Process of elimination:
1. 2([10]-5)
= 2(5)
= 10, not 12.
2. 2([11]-5)
= 2(6)
= 12; the answer we need.
We substituted x for 11, and then the equation worked; so therefore the value we needed from the set was 11.
