First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3
V = Pie * radius squared* height.
Pie is 3.142
radius is 6.18/2 = 3.09 cm
height is 6cm
V = 3.142 * 3.09 * 3.09 * 6
V = 180cm3
Now we divide the volume of this cylinder with the volume of block of gold.
360/180 = 2
So it will take 2 cylinders to mold one block of gold.
Answer:
8 pieces were obtained.
7 cuts made.
Step-by-step explanation:
(8x2 + 40x + 32) / (x2 + 5x + 4)
= 8.
Answer:
mid point of AB (0.5 , 0)
Step-by-step explanation:
2x + 5y = 1 2x = 1 - 5y
y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5
y-y = y - 5y² + 5 - y = - 5y² + 5
0 = - 5y² + 5
5y² = 5
y² = 1
y = 1 or y = -1
if y = 1 x = 1/2 (1 - 5) = -2 .... point A (-2 , 1)
if y = -1 x = 1/2 (1 + 5) = 3 ..... point B (3 , -1)
mid point of AB (x' , y') : x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2
y' = 1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0
180=11+2x
-11 -11
169/2=2x\2
x=84.5
You would form this inequality:
52 + 2x < (or equal to) 180
Then, solve as you would in an ordinary equation.
Subtract 52 from both sides of the sign. 180 - 52 = 128.
So, 2x is less than or equal to 128.
Divide 128 into two to get 64.
The height of the frame must be 64 inches.