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Ksju [112]
3 years ago
12

the radius of a circle with an area of a circle with an area of 60 square centimeters is represented by the expression sqrt 60/x

centimeters. what is another way of expressing the radius?

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

\dfrac{2\sqrt{15\pi}}{\pi}

Step-by-step explanation:

\displaystyle\sqrt{\frac{60}{\pi}}=\sqrt{\frac{4\cdot 15\pi}{\pi^2}}=\frac{2}{\pi}\sqrt{15\pi}

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Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball
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Answer:  Aproximately 2,525 balloons

Step-by-step explanation:

 1. Find the volume of a balloon with the formula given in the problem, where r is the radius (r=\frac{0.3m}{2}=0.15m), then:

V=4(0.15m)^{3}=0.0135m^{3}

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

V=0.0135m^{3}*1000=13.5L

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

\frac{75lb*1L}{0.0022lb}=34,090.90L

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call n), you must  divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

n=\frac{34,090.90L}{13.5L}

n=2,525.25≈2,525 balloons.

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3 years ago
4:3 and 25:45 are equal ratios true or false
kondaur [170]
False.

The scale factor for 3 and 45 is 15.

45 / 3 = 15.

We know that 25 isn't even a whole number for the scale factor, because no number x 4 can equal 25 (whole numbers only).

25 / 3 = 6.33333
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Step-by-step explanation:

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