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Genrish500 [490]
2 years ago
10

The circumference of a circular stage is 157 feet. If Chris paints the stage at a rate of 400 square feet per hour, how long wou

ld it take to the nearest hour, for Chris to paint the entire stage?
Mathematics
1 answer:
Korolek [52]2 years ago
8 0
We need the circumference and area of the circle equations:
c = 2*pi*r
a = pi*r^2
lets find the radius from the first equation:
r = c/2*pi
r = 157/(2*3.14)
r = 24.99 ft
now lets calculate the area:
a = pi*r^2
a = 3.14*(24.99)^2
a = 1960.93 ft^2
Now we need to divide the total area by the rate at which Chris paints, and that gives us the time needed:
time = <span>1960.93/400
time = 4.9 hours
that would be 5 hours rounded to the nearest hour</span>
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2 years ago
The rays OM , ON , and OP in the figure, coincide at time t=0. At the same instant of time OM and OP rotate in the plane about p
dangina [55]

Note:

Note that the shape is a circle(s), as they all will rotate until they coincide. However, they are rotating towards each other

Step-by-step explanation:

One is rotating at 3°, while the other is rotating at 6°. We do not need to both with ON, for the question is not asking for that segment.

A circle has 360° To solve this, we must know that "the other" must complete a circle and overtake the other one.

So. First, solve for the circle (360°)

360/6 = 60

It takes one of the rays to rotate a full circle 60 seconds.

The other, at the same time, has rotated half way, as:

360/3 = 120

--------------------------------------------------------------------------------------------

Remember that one of the rays (the one that is faster), completes it's turn twice as fast. This means that you must solve for the mean:

(60 + 120)/2 = 180/2 = 90

90 seconds will be used until one overtakes the other

~<em>Senpai</em>


6 0
3 years ago
​Together, teammates Pedro and Ricky got 2676 base hits last season. Pedro had 276 more hits than Ricky. How many hits did each
Alborosie
Let's use the variable r to represent ricky's base hits:
Ricky is r
Pedro is r + 276
So:
r + r + 276 = 2676
2r = 2400
r= 1200
Ricky hit 1200 base hits, and Pedro hit 1476 base hits.
4 0
2 years ago
Is 35 - square root of 40 greater than 6 pi?
Yakvenalex [24]
Yes it is greater

35 - square root(40) = 28.6754446797

Pi(6) = 18.8495559215
6 0
3 years ago
alonzo brought 17 packs of cola to a party , and each pack had 8 cans. lisa brought 7 cans of juice. how many cans did they brin
yanalaym [24]

Answer:

143

Step-by-step explanation:

17 times 8 =136, 136 + 7 = 143

3 0
2 years ago
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