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3 years ago

Simplify. √ 240 10√ 24 2√ 30 6√40 4√15

Mathematics

1 answer:

Orlov [11]3 years ago

5 0

240 = 16 * 15 = 4^2 * 15

√ 240 = √(4^2 * 15) = 4√15

Answer

4√15

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The radius of a circle is 15. Using π, which equation expresses the ratio of the circumference to the diameter of a circle?

Kobotan [32]

Answer:

The equation which expresses the ratio of the circumference to the diameter of a circle is $\frac{C}{30}=\pi$ ⇒ D

Step-by-step explanation:

π is the ratio between the circumference of the circle and the length of its diameter

$\frac{C}{d}=\pi$ , where

C is the circumference of the circle
d is the diameter of the circle

∵ The circumference of the circle is C

∵ The radius of the circle is 15 units

∴ r = 15 units

- Find the diameter of the circle

∵ The diameter of the circle d = 2 r

∴ d = 2(15) = 30 units

∴ The diameter of the circle is 30 units

∵ $\frac{C}{d}=\pi$

∵ d = 30 units

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The equation which expresses the ratio of the circumference to the diameter of a circle is $\frac{C}{30}=\pi$

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4 years ago

1 point

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3 years ago

Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression coul

Natasha_Volkova [10]

Answer:

$6.00-($2.00+$4.50)

in other terms, 6 - (2 + 4.5)

Step-by-step explanation:

So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.

To get how much all together, we have to add. 2 + 4.5

Now that we now how to get the total amount, out them in parentheses and add the 6 infront.

Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.

All this leads to the expression: 6 - (2 + 4.5)

Hope this helps :)

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3 years ago