NEED help on this problem

Please help I only have 10 minutes left to submit this (:

olya-2409 [2.1K]

Answer:

$A_{sector} = \dfrac{100\pi}{3}$

$A_{sector} = 104.7 ~square~units$

Step-by-step explanation:

The area of a full circle is

$A = \pi r^2$

A full circle has a central angle of 360 degrees.

The area of a sector is a fraction of the area of a full circle and is proportional to the central angle of the sector.

For a sector:

$A_{sector} = \dfrac{n}{360^\circ}\pi r^2$

where n = central angle of sector.

Here you have a radius of 10 and a central angle of 120 deg.

$A_{sector} = \dfrac{120^\circ}{360^\circ}\pi(10^2)$

$A_{sector} = \dfrac{1}{3}\pi(10^2)$

$A_{sector} = \dfrac{100\pi}{3} ~square~units$

$A_{sector} = 104.7 ~square~units$

5 0

3 years ago

1/3 of a number is X is equal to 22 less than the number write and solve an equation to find the answer

avanturin [10]

I believe the answer would be 66

7 0

4 years ago

A pilot was scheduled to depart at 4:00 pm, but due to air traffic, her departure has been delayed by 15 minutes. Air traffic co

AlladinOne [14]

Answer:

$y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Step-by-step explanation:

Let x represent the time, in minutes, of her original flight plan.

Let y represents the time, in minutes, of her new flight plan.

The time of Original flight schedule = 4:00 pm

The number of minutes delayed by Original flight = 15 minutes

As the new flight plan is two times faster than original flight plan.

So, the equation of new flight plan will be:

$y = \frac{1}{2}x$

$y = \frac{x}{2}$

But, the original flight plan was delayed by 15 minutes. Hence, the equation to predict the number of minutes after 4:00 pm she will arrive at her destination will become:

$y = \frac{x}{2}+15$

So, $y = \frac{x}{2}+15$ will be the equation that can be used to predict the number of minutes after 4:00 pm she will arrive at her destination.

Keywords: equation, problem solving, word problem

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4 0

4 years ago

Read 2 more answers

What is 4 to the 5th power plus 5 to the 4th power equal

Mazyrski [523]

So,

$4^5 + 5^4$

Simplify exponents.
1024 + 625

Add.
1649

7 0

3 years ago

The length of a 1-inch paperclip is about 1.6 x 10−5 miles. It takes about 1.5 x 1010 paperclips linked together to reach the mo

son4ous [18]

Answer:

Distance from the moon is 2.4 × 10⁵ miles

Step-by-step explanation:

Length of 1-inch paperclip = $1.6\times 10^{-5}$ miles

Number of paperclips used to reach the moon = 1.5 × 10¹⁰

Total distance from the moon = Number of paper clips used × Length of one clip

= (1.5 × 10¹⁰) × (1.6 × 10⁻5)

= (1.5 × 1.6) (10¹⁰× 10⁻⁵)

= 2.4 × 10⁽¹⁰⁻⁵⁾ miles

= 2.4 × 10⁵ miles

Distance from the moon is 2.4 × 10⁵ miles.

5 0

3 years ago