Answer:
20 seconds
Step-by-step explanation:
speed = distance/time
distance = speed * time
The faster racer will catch up to the slower racer in x meters ahead of the slower racer.
The faster racer is 40 meters behind the slower racer, so he travels x + 40 until he catches up.
Slower racer:
speed = 12 m/s
distance = x
time = t
Faster racer:
speed = 14 m/s
distance = x + 40
time = t (the same time as the slower racer)
Slower racer:
distance = speed * time
x = 12t
Faster racer:
x + 40 = 14t
System of equations:
x = 12t
x + 40 = 14t
Since the fist equation is already solved for x, substitute 12t for x in the second equation and solve for t.
12t + 40 = 14t
40 = 2t
20 = t
t = 20
The faster racer catches up in 20 seconds.
264 because you move the decimal 2 times to the right
Find the tangent of the angle, using the height (472) minus the elevated height of the camera (2) which would be 470 meters, and also the distance away from the shuttle, which would be 750. Opposite divided by adjacent would make the tangent 0.626...so using a triangle chart, the closest whole numbered angle 0.626 would be to is 32 degrees.
Answer: the bottom rectangle is 21 square units
The top triangles are each 6 square units
Step-by-step explanation:
Do 6 times 3.5 to find area of rectangle
Then do 3 times 4 divided by 2 for each of the top triangles