First, we should figure out the area of the entire face of the clock because we need that information to solve the problem. The formula for the area of a circle is A=pi*r^2. Since we know that r (radius) is equal to 11.25 feet, we can plug this in for r and solve for A: A=pi*11.25^2 which equals A=397.61 ft^2 rounded to the nearest hundredth.
Now, to find the area the hand sweeps over in 5 minutes, we should determine how much of the clock the hand sweeps over in 5 minutes. Think about it like this: since 5 minutes goes into 60 minutes 12 times (60/5=12), then 5 minutes is one twelfth of the clock's face. Therefore, we are going to divide the total area by 12 (397.61/12) to get 33.13 ft^2, so the answer is C.
I hope this helps.
Answer:
5/2 improper, 2 1/2 proper
Answer:
Answer: 9 (y - 2) (y + 2)
Step-by-step explanation:
Factor the following:
9 y^2 - 36
Factor 9 out of 9 y^2 - 36:
9 (y^2 - 4)
y^2 - 4 = y^2 - 2^2:
9 (y^2 - 2^2)
Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):
Answer: 9 (y - 2) (y + 2)
9514 1404 393
Answer:
49.1°, 40.9°
Step-by-step explanation:
Let x represent the smaller angle. Then the larger is x+8.2 and the total of the two angles is ...
x + (x +8.2) = 90
2x +8.2 = 90 . . . . . collect terms
x + 4.1 = 45 . . . . . . .divide by 2
x = 40.9
x +8.2 = 49.1
The two angles are 49.1° and 40.9°.