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3 years ago

A circle has a sector with area 27 and central angle of 120

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

6 0

Answer:

81π

Step-by-step explanation:

-The sum of central angles in a circle add up to 360°.

-Let x be the area of the circle.

-Given the area of a 120° is 27π, the circles area can be calculated as:

$A=27\pi\\\\120\textdegree=27\pi\\360\textdegree=x\\\\\therefore x=\frac{360\textdegree\times 27\pi}{120\textdegree}\\\\=3\times 27\pi\\\\=81\pi$

Hence, the area of the circle is 81π

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Out of every 5 students surveyed, 2 listen to country music. At the same rate, how many students in a school of 800 listen to co

Lorico [155]

Answer:320

Step-by-step explanation:

2/5 of the students surveyed lisen to country. So to make the percentage fit the total student population, you figure out what your 2/5 is in a percetnage. That comes out to 40%. so, 40% of 800 is 320.

8 0

3 years ago

The product of 6g2 and -2g3 is equals to

ryzh [129]

Answer:

We conclude that:

$\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5$

Step-by-step explanation:

Given

6g²

-2g³

The product of 6g² and -2g³ can be determined by multiplying each other such as:

$(6g^2\:)\times \:(-2g^3)$

Apply the rule: a(-b) = -ab

$\left(6g^2\:\right)\times \left(-2g^3\right)=-6g^2\times \:\:2g^3$

Apply exponent rule: $a^b\times \:a^c=a^{b+c}$

$=-6g^{2+3}\times \:2$

$=-6g^5\times \:2$

$=-12g^5$

Therefore, we conclude that:

$\left(6g^2\:\right)\times \left(-2g^3\right)=-12g^5$

8 0

3 years ago

a stack of boards is 24 inches high. Each board is 3/8 of an inch thick. How many boards are in the stack?

meriva

To answer this we need to divide 24 by 3/8.

First we need to convert 24 to a fraction.

$\frac{24}{1}$

When dividing fraction, multiply the first fraction by the reciprocal of the second fraction. (A reciprocal is an upside down fraction)

$\frac{24}{1} * \frac{8}{3} = \frac{192}{3}$ (simplify:) 64

The answer is 64

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)

4 0

3 years ago

Read 2 more answers

Which equation can be simplified to find the inverse of y = 5x² + 10?

Nostrana [21]

Answer:

$x = 5y {}^{2} + 10$