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3 years ago

What is the area of a sector with a central angle of 5pi over 6 radians and a radius of 5.6ft

Mathematics

1 answer:

kogti [31]3 years ago

6 0

Answer:

41.0501 ft²

Step-by-step explanation:

Area of a Sector (Radians): A = 1/2r²∅

We are given <em>r</em> and ∅, so simply plug it into the formula:

A = 1/2(5.6)²(5π/6)

A = 1/2(31.36)(5π/6)

A = 15.68(5π/6)

A = 41.0501 ft²

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A superhero can fly from New York to Los Angeles in 30 minutes. The distance from New York to Los Angeles is approximately 2,450

kow [346]

<h3>Answer: 4900 mph</h3>

Work Shown:

30 min = 30/60 = 0.5 hours

distance = rate*time

rate = distance/time

rate = (2450 miles)/(0.5 hours)

rate = (2450/0.5) mph

rate = 4900 mph

For the sake of comparison, a typical commercial passenger jet can reach max speeds of about 600 mph.

7 0

2 years ago

At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017

Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

4 0

3 years ago

Which of the following is a solution of x2 − 8x = –27?

Sergeu [11.5K]

Its 4 plus i square root of eleven

4 0

3 years ago

Read 2 more answers

1. SOCCER Suppose a youth soccer field has a

padilas [110]

Answer:

L = 100

W = 60

Step-by-step explanation:

2L + 2W = 320

-2L + 2W = -80

4W = 240

W = 60

L - W = 40

L - 60 = 40

L = 100

6 0

2 years ago

Jack buys a bag of 5 apples each equal in size he eat 1/2 of one Apple what fraction did he eat

Karo-lina-s [1.5K]

You have $4\frac{1}{2}$ apples left.
You have 5 whole apples, you took one whole apple out, which equals 4 whole apples left. Then with the whole apple you took out, you ate $\frac{1}{2}$ of it.
Jack ate $\frac{1}{2}$ of an apple in 5 apples.
If you say that Jack ate $\frac{1}{2}$ of 3 apples, then he ate $1\frac{1}{2}$ apples. So there isn't any difference when he ate $\frac{1}{2}$ of an apple.

5 0

3 years ago