The diagram shows that angle AQB = angle BQC
So 5x= 8x-24
3x= 24
x=8 (first answer)
AQB= 5(8) = 40 (second answer)
BQC= 8(8)-24 = 64-24 = 40 ( third answer)
AQC = AQB+ BQC
AQC= 40+40 = 80 (Fourth answer)
(Mark me the brainliest if this has helped)
Answer:
1436.75504 or 1372/3π cm^3
Step-by-step explanation:
The volume of a sphere can be found using:
V = 4/3 πr^3
We know the radius is 7, so we can substitute 7 in for r
V = 4/3 π7^3
Evaluate the exponent
V = 4/3 π 343
If we want the answer in terms of pi, multiply the two other numbers, that are not pi: 4/3 and 343.
v= (4/3*343)π
v=1372/3π
If we want an exact answer, multiply 1372/3 and pi
v=1436.75504
So, the volume is 1436.75504 or 1372/3 π cm^3
The real distance between the two cities is 100000 feet.
<h3>How to use scales to estimate real life distances</h3>
Scales are applications of ratios in which maps are mostly based and that are used to estimate real distances between two points. Scales (r) are represented by the following formula:
r = m' / m (1)
Where:
- m - Real length
- m' - Reduced length
If we know that m' = 400 in and r = 4 in / 1000 ft, then the real distance between the two cities is:
m = m' / r
m = (400 in) / (4 in / 1000 ft)
m = 100000 ft
The real distance between the two cities is 100000 feet.
To learn more on ratios: brainly.com/question/1504221
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