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:
5(s+7) or (s+7)*5
Step-by-step explanation:
Read the question carefully when trying to do these problems. Whenever it states "sum" then you should automatically put the terms behind it (s and 7) together to add them together. This would look like s+7.
Next it says 5 TIMES the sum of the terms therefore you should put s+7 together in parentheses and multiply them by 5 so that you first have the sum of s and 7 in parentheses. This would then look like 5(s+7) or (s+7)*5.
1/5×m+2/3-2=m-2/5
Multiply both sides by 15:
3m+10-30=15m-6
12m=14
m=14/12
m=1.16
Answer: 22.6875 miles
Step-by-step explanation:
Monday = 2 3/4 miles = 2.75 miles
Tuesday = 2.75 miles
Wednesday = 2.75 miles
Thursday = 2.75 miles
Friday = 2.75 miles
Saturday = 2.5 × 2.75 = 6.875 miles
Sunday = 0.75 × 2.75 = 2.0625 miles
Total = 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 2.75 miles + 6.875 miles + 2.0625 miles
Total = 22.6875 miles
Step-by-step explanation:
Area of a regular polygon is half the apothem times the perimeter, or A = ½ a n s, where a is the apothem, n is the number of sides, and s is the side length.
A = ½ (8.5705 in) (8) (7.1 in)
A = 243.4022 in²
