This is the concept of scale factors, we are required to calculate for the volume of the smaller solid if the larger solid has a volume of 1975.
Area scale factor=(linear scale factor)^2
thus;
Area scale factor=(area of larger solid)/(area of smaller solid)=1057/384
linear scale factor=√(1057/384)=5.7019
the volume scale factor=(linear scale factor)^3=[volume of larger solid]/[volume of smaller solid]
The volume scale factor=(5.7019)^3=185.3772
therefore;
volume of smaller solid=[volume of larger solid]/[volume scale factor]
=1795/185.3772
=9.683
The answer is 9.683 yd^3
Answer:
q = 4
Step-by-step explanation:
given p and q vary inversely then the equation relating them is
p = 
← k is the constant of variation
to find k use the condition p = 29 when q = 16 , then
29 = 
( multiply both sides by 16 )
464 = k
p = 
← equation of variation
when p = 116 , then
116 = ( multiply both sides by q )
116q = 464 ( divide both sides by 116 )
q = 4
Answer: 172 
Step-by-step explanation:
Answer:
The length of the radius is 12 in
Step-by-step explanation:
To solve this problem we need to use the circumferenc formula of a circle:
c = circumference = 75in
r = radius
π = 3.14
c = 2π * r
we replace with the known values
75in = 2 * 3.14 * r
75in = 6.28 * r
75in / 6.28 = r
11.94in = r
round to the nearest inch
r = 11.94in = 12 in
The length of the radius is 12 in
Answer:
3/8
Step-by-step explanation:
Consider all the possible ways to get two heads, HHT, HTH and THH. There are 2⋅2⋅2=8 possible combinations in total. Therefore, the answer is 3/8.
