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2 years ago

Express answer in exact form.

1 answer:

3 0

Radii and chord form an equilateral triangle. The angle of the larger segment is $360^o-60^o=300^o$ .

The length of the larger segment is

$l= \frac{2r\pi\alpha}{360^o}= \frac{2\times 8\pi300^o}{360^o}= \frac{ 16\pi5}{6}= \frac{ 8\pi5}{3}=\frac{ 40\pi}{3}$

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Order these numbers from least to greatest. 5 10/11 117/20 5.84 5.822

Sliva [168]

Least to greatest: 5 10/11 , 5.822 , 5.84, 117/20.

8 0

2 years ago

Someone help me please

garri49 [273]

Answer:

42 seats

Step-by-step explanation:

This represents an arithmetic progression with the first term of a = 15 and common difference of d = 3.

The tenth row is the 10th term:

aₙ = a + (n - 1)d

The row 10 has:

a₁₀ = 15 + 9*3 = 15 + 27 = 42 seats

7 0

2 years ago

Read 2 more answers

Dale bought a map of his city it uses a scale of 1 inch = 8 miles Dale house and school are 1 1/2 inches apart on the map how fa

shtirl [24]

Alright, if the original scale was 1 inch = 8 miles, and Dale's house to his school are 1 1/2 inches apart, let's find the amount of miles.

Here's a fast way. 1 inch is 8 miles, and half of 8 equals 4 miles, which is 1/2 of an inch., 8 + 4 = 12 miles.

So if his house and the school were 12 miles apart, and we we're using the 1 inch. = 6 miles scale, then it'd be 2 inches on the map.

How?

If 1 inch. = 6 miles
x inches = 12 miles

12/6 = 2

2 inches = x

4 0

2 years ago

Find the y-intercept of the parabola y = x2 - 5.

horsena [70]

(0,-5) is the y-intercept

4 0

3 years ago

Find three consecutive even integers. Such that 7 times of first integer is 4 more than the sum of second and third integers

attashe74 [19]

Answer:

1st even integer = 2

2nd even integer = 4

3rd even integer = 6

Step-by-step explanation:

Let the consecutive even integers be:

1st = 2(x)

2nd= 2(x +1) = 2x + 2

3rd = 2(x + 2) = 2x + 4

According to Given conditions:

7(2x) = 4 + 2x +2 + 2x + 4

By Simplifying:

14x = 10 + 4x

Subtracting 4x from both sides

14x - 4x = 10 + 4x -4x

10x = 10

Dividing both sides by 10 we get:

x = 1

Now putting value of x in supposed integers:

1st even integer = 2(1) = 2

2nd even integer = 2(1)+2 = 4

3rd even integer = 2(1) + 4 = 6

I hope it will help you!

3 0

3 years ago