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irinina [24]
3 years ago
12

Which of the following represents the prime factortzation of 72?

Mathematics
1 answer:
rjkz [21]3 years ago
8 0

Answer:

2³ x 3²

Step-by-step explanation:

The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:

          72

      2   x    36

      2 x 2 x 18

      2 x 2 x 2 x 9

       2 x 2  x 2 x 3 x 3

So;

  The prime factorization is 2³ x 3²

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Please help with this question!! I need serious help!!
asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

The area multipled by 16:

16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2

The radius has increased fourfold, therefore:

C'=2\pi(4r)=4(2\pi r)=4C

The circumference is multipled by 4.

You can calculate the area and check the circumference:

r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2

Calculate the radius:

\pi r^2=2152.96\pi             <em>divide both sides by π</em>

r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in

Calculate the circumference of both circles:

r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in

r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in

\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C

5 0
3 years ago
Find y.
Elena L [17]

Answer:

Step-by-step explanation:

sin A = \frac{opposite side}{Hypotenuse}

Sin 29 = \frac{y}{500}

0.4848 * 500 = y

y = 242.4 ft

4 0
3 years ago
Read 2 more answers
How to solve this equation and check it. a - 2.5 = 4.5?
Bezzdna [24]

Answer:

Step-by-step explanation:

a - 2.5 = 4.5

     2.5 = 2.5

a = 7.0 or 7

7.0 - 2.5 = 4.5

4.5 = 4.5

5 0
3 years ago
Which square root is between four and five?
wolverine [178]

Answer:

but the answer is that all real numbers greater than 16 and less than 25 would have square roots between 4 and 5.

6 0
3 years ago
Two similar cylinders have surface areas of 241 cm² and 54 cm. The volume of the smaller cylinder is 16 cm?
nevsk [136]

Answer:

46 cm

Step-by-step explanation:

irsitsitdoyft8soyffyoyrafsiigzirsdifogstistsi

4 0
3 years ago
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