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2 years ago

I need help with 5,6,7 please

Mathematics

1 answer:

AlladinOne [14]2 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

the arc length of a circle is calculated as

arc = circumference of circle × fraction of circle

(5)

circumference (C) is calculated as

C = 2πr ( r is the radius )

here diameter = 12 , then r = 12 ÷ 2 = 6

C = 2π × 6 = 12π ≈ 37.7 m ( to the nearest tenth )

(6)

JK = 2πr × $\frac{75}{360}$

= 2π × 7 × $\frac{5}{24}$

= 14π × $\frac{5}{24}$

= $\frac{14\pi (5)}{24}$ ≈ 9.2 in ( to the nearest tenth )

(7)

7.5 = 2πr × $\frac{120}{360}$

7.5 = 2πr × $\frac{1}{3}$ ( multiply both sides by 3 to clear the fraction )

22.5 = 2πr ( divide both sides by 2π )

r = $\frac{22.5}{2\pi }$ ≈ 3.6 ft

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Step-by-step explanation:

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4 years ago

How do I evaluate 8^7 / 8^7?

morpeh [17]

Answer:

The final result is 1

Step-by-step explanation:

Remember the following:

$\frac{x^{m}}{x^{n}} = x^{m-n} \\$

And that x^0= 1

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4 years ago

Ty'Sean went to the bowling alley and spent $14.50. If his rental shoes cost $4.50 and he played in 5 games, what was the price

kotegsom [21]

Answer:

$2 each

Step-by-step explanation:

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3 years ago

Amy's car holds at most 18 gallons of gas. Now it has 6 gallons. Use pencil and paper. Explain how to find the amount of gas sh

marissa [1.9K]

Answer:

10 gallons

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present amount of gas = 9 gallons

As the car's capacity is 19 gallons and present amount in tank is 9 gallons, so we can fill it as much as so that the amount in tank becomes 19 gallons.

let assume she fills x gallons

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lets write it mathematically

x + 9 = 19

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3 years ago

In which quadrant will θ lie if csc θ > 0 and cos θ < 0?

musickatia [10]

$\csc\theta=\dfrac{1}{\sin\theta}$

We know:

$\sin\theta > 0$ in I and II quadrant

$\cos\theta < 0$ in II and III quadrant

Therefore your answer is:

<h3>θ is in II quadrant</h3>

7 0

3 years ago