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Art [367]
3 years ago
12

A circle of a certain radius has an area which is numerically 5 times the value of the circumference. What is the radius of the

circle?
Mathematics
1 answer:
patriot [66]3 years ago
5 0

We have been given that a circle of a certain radius has an area which is numerically 5 times the value of the circumference. We are asked to find the radius of the circle.

We know that area of circle with a radius of r units is \pi r^2.

We know that circumference of a circle is 2\pi r.

5 times the value of circumference would be 5(2\pi r)=10\pi r.

Now we will equate 5 times circumference with area as:

\pi r^2 = 10\pi r

Let us solve for r.

\pi r\cdot r = 10\pi r

\frac{\pi r\cdot r}{\pi r}=\frac{10\pi r}{\pi r}

r=10

Therefore, the radius of the circle would be 10 units.

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You are told to you will have to wait 5 hours in a line with a group of other people. Determine it. 1.You know the number of min
gulaghasi [49]

Answer:

for\ five\ hours = 300\ min

Step-by-step explanation:

Given:

Waiting time = 5 hours.

We need to find the number of minutes for 5 hours.

Solution:

We know that 60 minutes for each hour, so one hour is equal to 60 minutes.

For one hour = 60\ minutes

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3 years ago
What value is missing
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2 years ago
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3 years ago
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Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

         = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

7 0
3 years ago
I just completed 12 questions on a test the progress bar shows 20% is complete how many total questions are on the test?
Mademuasel [1]
If 12 is 20%, then 24 is 40%, then 36 is 60%, then 48 is 80%, then 60 is 100%

So there are 60 questions on the test.
7 0
3 years ago
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