Answer:
42 pieces
Step-by-step explanation:
you do 378÷9
then you'll get the answer which is 42 pieces
<span>First, group the x values together (on one side) and the other values on the other.
6x + 3 - 1/2 x = -2x +5
6x - 1/2 x + 2x = 5 - 3
Now solve!
7 and 1/2 x = 2
x = 8
Hope this helps!</span>
Answer:
A. 6
Step-by-step explanation:
Using the Pythagorean theorem which states that: <u>Hypotenus² = Opposite² + Adjacent²</u>
Where: hypotenus = 10, opposite = x, adjacent = 8
So:

Solving for x

Collect like terms to make x the subject of formula


square root both sides of the equation to find the value of x

Therefore: Option A is correct
The height and radius that will give us the smallest amount of paper, should have should have the perfect dimension, in that the diameter should be equal to the height. thus let the diameter be x, the height will be x and the radius will be x/2
thus the volume of the cone will be:
V=1/3πr^2h
=1/3*π*(x/2)^2*x
=0.262x^3
hence the value of x will be:
33=0.262x^3
x^3=125.95
x=(125.95)^(1/3)
x=5.0126=5.01 cm
thus the diameter=height=5.01cm