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2 years ago

132 minutes to 5 hours

Mathematics

1 answer:

KengaRu [80]2 years ago

8 0

Answer:

2 hours and 12 seconds or 3:48

Step-by-step explanation:

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Simplify the radical expression (-9√28a^2*1/3√63a) show work

Dovator [93]

A ≥ 0

$-\not9^3\sqrt{28a^2}*\frac{1}{\not3^1}\sqrt{63a}=\\\\ =-3a\sqrt{4*7}*\sqrt{9*7a}=\\\\=-3a*2\sqrt{7}*3\sqrt{7a}\\\\ =-18a\sqrt7*\sqrt 7*\sqrt a=\\\\=-18a*(\sqrt7)^2*\sqrt a =\\\\ =-18a*7*\sqrt a=\\\\ =-126a\sqrt a$

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2 years ago

1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

2 years ago

Find an equation of the line in the form whose x-intercept is 15 and y-intercept is 3, where a, b, and c are integers with n

madreJ [45]

x-intercept = (15, 0) y-intercept = (0, 3)

slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5

Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is one of the given points

y - 0 = (-1/5)(x - 15)

-5y = x - 15

x + 5y = 15

Answer: x + 5y = 15

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2 years ago

What is the area of the triangle shown below?

bearhunter [10]

Answer:

Step-by-step explanation:

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2 years ago

The state of Georgia has about 170 people per square mile. The area of Georgia is 59,425 square miles. What is the population of

kotykmax [81]

It should be about 10 million

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2 years ago