MATHEMATICS COLLEGE

A circle has a radius of five an arc in the circle has a central angle of 162 what is the length of the arc enter an exact answer in terms of pie or use with 3.14 for pie and enter your answer as a decimal

Answers

Answer 1

Answer:

Length of arc = 14.13

Step-by-step explanation:

Given:

Radius of circle, r = 5

An arc in the circle has a central angle of 162°

To find the length of the arc, L, let's use the formula:

$L = 2\pi r (\theta)/(360)$

Where $\theta$ = 162°

Therefore, substituting figures, we have:

$L = 2*3.14*5 ((162)/(360))$

L = 31.4 * 0.45

L = 14.13

Length of arc is 14.13 units

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What number is 10 times as much as 90?

Answers

Answer:

900

Step-by-step explanation:

10 times as much means *10

so we have

90*10=900

Answer:

900

Step-by-step explanation:

10 x 90 = 900

90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 + 90 = 900

1/2x + 1 ⥸ 5
show your work

Answers

Answer:

x ⥶ 8

Step-by-step explanation:

1/2x + 1 ⥶5

x + 2 ⥶ 10

x ⥶ 10 - 2

Find the perimeter of trapezoid WXYZ with vertices W(2, 3), X(4, 6), Y(7, 6), and Z(7,3). Leave your answer in simplest radical form.

Answers

Answer:

$Perimeter = 11 + √(13)$

Step-by-step explanation:

To find the perimeter of WXYZ we need to find the length of all four sides: WX, XY, YZ and WZ.

To find the length of each side, we can use the formula for the distance of two points:

$distance = √((x_1 - x_2)^2 + (y_1 - y_2)^2)$

So we have that:

$WX = √((2 - 4)^2 + (3 - 6)^2) = √(13)$

$XY = √((4 - 7)^2 + (6 - 6)^2) = 3$

$YZ = √((7 - 7)^2 + (6 - 3)^2) = 3$

$WZ = √((2 - 7)^2 + (3 - 3)^2) = 5$

The perimeter is:

$Perimeter = WX + XY + YZ + WZ$

$Perimeter = √(13) + 3 + 3 + 5 =11 + √(13)$

Give step by step answer

Answers

Answer:

Nancy put 3 cups of vegetables in each container.

Step-by-step explanation:

1. Add the amount of vegetables together

2. Divided the number of vegetables by 5, since they are put into 5 separate containers.

____________________________________________________________2+1+2+1+3+6 = 15

15 divided by 5 or 5 x ? = 15

Answer:

2 1/2 cups of vegetables

Step-by-step explanation:

This is an averages question, so add all numbers and divide by amount of numbers

2+1+2+1+3+6=15

15/6=2 1/2

About 4 out of every 5 people are right-handed. If there are 30 students in a class, how many would you expect to be right-handed? How many to be left-handed?

Answers

Answer:

You would expect 24 right handed and 6 left handed

Step-by-step explanation:]

5 x 6 =30

What is the slope of the line?

Answers

Answer:

2/3

Step-by-step explanation:

Choose two points from the graph; count how far one point is away from the other. Simplify if needed.

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