Answer:
64 boys.
Step-by-step explanation:
There are 3 girls for every 8 boys.
24/3 = 8
8 * 8 = 64
The length of the circle's radius = 744.92 cm
Given the length of arc of a circle, arc length = 269π cm
Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.
The corresponding central angle = 65°
To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians
We have, arc length of a circle = radius x central angle
Therefore, radius of the circle = arc length / central angle
= 269π /(13π/36)
= 744.92 cm
Learn more about arc length of a circle at brainly.com/question/28108430
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There were 45 questions on the test. Hope this helps! <3
Answer:
108,000 joules
Step-by-step explanation:
Kinetic energy, k = 1/2 mv^2
Where,
m = mass of the object in kilogram
v = velocity in meters per seconds
If
Velocity of an object = 20 meters per seconds
Kinetic energy = 48,000 joules
Solve for m
k = 1/2 mv^2
48,000 = 1/2 × m × 20^2
48,000 = 1/2 × m × 400
48,000 = 200m
m = 48,000 / 200
m = 240 kg
If it speeds up to 30 meters per second, then what is its new kinetic energy?
k = 1/2 mv^2
Using m = 240 kg
k = 1/2 mv^2
= 1/2 × 240 × 30^2
= 1/2 × 240 × 900
= 216,000 / 2
= 108,000 joules
The new kinetic energy = 108,000 joules
