Question

Helpp!!!

Answer 1

The circle graph at the right shows the results of a time study in which participants recorded how they spent their time over a 24-h period.

1. What is the measure of the central angle that represents the time spent on each activity? Round to the nearest tenth where necessary.

a. Sleep

b. Food

c. Work

d. Errands

e. Entertainment

f. Other

Answer 2

normally the ange is 360 degrees around the whole circle

Answer 3

There are 360 angles in a circle

Answer 4

so split that up into the percentages given

Answer 5

children these days

Answer 6

So for example sleep would be .31?

Answer 7

Yes, you can multiply by 360

Answer 8

close, it would be 0.31*360

Answer 9

That will give you the angle in the specific activity

Answer 10

111.6?

Answer 11

Yes, 112 :)

Answer 12

Make sure to round up

Answer 13

Okay. Check my work?

Answer 14

Sure thing :)

Answer 15

Sleep: 0.31 * 360 = 111.6
So 112

Food: 0.9 * 360 = 324

Work: 0.20 * 360 = 72

Errands: 0.7 * 360 = 252

Entertainment: 0.18 * 360 = 64.8
So 65

Other: 0.15 * 360 = 54

Answer 16

I believe in your math, looks good :)

Answer 17

Wait..

Answer 18

Circles have 360 degrees, so it should add up to 360, it doesn't make sense if you have food be 324 etc...you see you have it as 0.9*360 that's essentially saying 90%*360, it should be 0.09*360, fix it up!

Answer 19

wouldnt I have to do the same thing for errands?

Answer 20

Yes maam

Answer 21

Food: 0.09 * 360 = 32.4
So 32

Errands: 0.07 * 360 = 25.2
So 25

Answer 22

yup :)

Answer 23

Now they should add up to 360, so you can take all of the angles and add them to see if they do, then you'll know you're right!

Answer 24

And thats the central angle?

Answer 25

@Astrophysics

Answer 26

So all the work I did is the central angle for each activity?

Answer 27

You found the angles for each activity, that's what you had to do, that's what it's asking.

Answer 28

Okay, thank you. I will tell you if I need anymore help.

Answer 29

Central angle is for each activity, it's a bit wordy maybe that's why it didn't make much sense :), but essentially you just have to find the angle for each activity as you did.

Answer 30

Question: Should I put a % after each answer? @Astrophysics

Answer 31

No, it's angles so it will be in degrees \[\circ\]

Answer 32

I need help @Astrophysics

Answer 33

A store that sells music CDs keeps track of their weekly sales for inventory purposes. The table at the right shows the sales for the first week in March.

Music Sales (Dollars)

Rock 3150
Country 1800
Rap 2250
Classical 1350
Other 450

What percent of the total is each type of music?

Answer 34

Add them up for the total sales, and then do the same as before to find the percent

Answer 35

So I guess, you're going backwards in this question, so let me make it clear.

Add all the sales of the items, then divide each CD/ total sales and multiply by 100 to get the percent

Answer 36

So:

3150 + 1800 + 2250 + 1350 + 450 = 9000

Correct?

Then:

3150 / 9000 = 0.35

1800 / 9000 = 0.2

2250 / 9000 = 0.25

1350 / 9000 = 0.15

450 / 9000 = 0.05

Answer 37

3150 / 9000 = 0.35
0.35 * 100 = 35

1800 / 9000 = 0.2
0.2 * 100 = 20

2250 / 9000 = 0.25
0.25 * 100 = 25

1350 / 9000 = 0.15
0.15 * 100 = 15

450 / 9000 = 0.05
0.05 * 100 = 5

Answer 38

hmm

Answer 39

astro is busy right now.. i want to go over something with u

Answer 40

do you understand that the area of a circle is proportional to its angle