Answer:
Option A. The volume of the sphere is multiplied by 1/343.
Step-by-step explanation:
The volume of a sphere can be obtained by the following formula:
V = 4/3πr^3
Let the initial volume (V1) of the sphere be:
V1 = 4/3πr^3 = (4πr^3)/3
Now, if we multiply the radius by 1/7, then the new volume (V2) of the sphere will be:
V2 = 4/3 x π x (1/7r)^3
V2 = 4/3 x π x 1/343r^3
V2 = (4πr^3)/1029
Now we determine the ratio of V2 : V1 as shown below:
V2/V1 = (4πr^3)/1029 ÷ (4πr^3)/3
V2/V1 = (4πr^3)/1029 × 3/(4πr^3)
V2/V1 = 3/1029
V2/V1 = 1/343
V2 = 1/343 x V1
Therefore, the volume of the sphere is multiplied by 1/343.
Answer:
x = 27
Step-by-step explanation:
The angle at any point on a straight line is 180 degrees.
The middle line over there is creating a right angle which is 90 degrees.
This must mean that both sides are 90 degrees.
3x+9 = 90
3x = 81
x = 27
Step-by-step explanation:
Tax charge
80 × 6.75/100 = 5.4
Cost + tax charge
80 + 5.4 = 85.4
Tip (15% of cost and tax)
85.4 × 15/100 = 12.81
(Cost + tax charge + tip)
85.40 + 12.81 = 98.21
therefore, $95 is not enough.
Answer:
y=15
Step-by-step explanation:
y-7=8
Add 7 to each side to cancel out the 7 next to the variable.
You get y=15.
