The circumference of a circle has the formula: 2*pi*r. So, we could easily determine the value of r.
C = 2*pi*r
12*pi = 2*pi*r
12 = 2r
r = 12/2
r = 6 inches
Knowing the r, we could find the area which has the formula
A = pi*r^2
A = pi*6^2
A = 113.1 square inches
Let the medium angle be B degrees
the small angle be A degrees
the large angle be C degrees
Then
C = 2 B + 20 ..................X
5 B = A + C ..................Y
Sum of all angles
A + B + C = 180 .............Z
Applying Y in Z
5 B + B = 180
6 B = 180
B = 30
From X C = 2 x 30 + 20 = 60 + 20 = 80
From Y 5 x 30 = A + 80
150 = A + 80
150 - 80 = A = 70
Hence medium angle B = 30 degrees
the small angle A = 70 degrees
the large angle C = 80 degrees
Aftershocks occur after the most major part of an earth quake happens. Earthquakes occur at fault lines near the tectonic border. They occur because of the sudden movement for staying rigid while they were edging closer and closer. So the sudden movement releases a large amount of tension buried deep below the earth creating or resulting in an earthquake.
The answer is c first 2×6= 12 then 12-5=7
then do -7×-2=14 the minus signs cancel
finaly we have two bracket so we multiply both number (7)×(14)=98
Answer:
The Musician had $29 before performing at the fairs
Step-by-step explanation:
Let the initial amount musician has be x
At the first musician doubled his money and spent
$30 , this can be written as
2(x) -30---------------------------------(1)
At the second he tripled his money and spent $54.
3(2x -30) - 54
=> 6x-90-54
=> 6x- 144--------------------------------(2)
At the third, he quadrupled his money and spent $72
4( 6x- 144) - 72
24x - 576 - 72
24x -648-------------------------------(3)
At-last he had $48
24x -648 = 48
24x = 48+ -648
24x =696
x =
x = 29