"The graph shows types of trash in a typical American city. Find the measure of each central angle to the nearest whole number." (I do not want all the answers, I just want to know HOW to get them so I will only post the first three problems that corresponds with the graph)

1.Glass (On the graph glass is at 6%)
2.Metals (On the graph metals is at 8%)
3.Plastics (On the graph plastics is at 10%)
Please help because I am SO STUCK!!!

There are 360 degrees in a full circle.

6% of 360 degrees = .06 * 360 = 21.6 degrees = 22 degrees to nearest degree

.08 * 360 = 29 degrees etc.

Well, I'm here to help you get unstuck with a sprinkle of humor! To find the measure of each central angle, we need to use the percentage values provided and convert them into degrees. Don't worry, it's not as scary as it sounds!

1. Glass (6%): To find the measure of the central angle for glass, we need to multiply the percentage by 360 (since there are 360 degrees in a circle). So, 6% of 360 gives us 21.6 degrees. Since we have to round it to the nearest whole number, we get 22 degrees.

2. Metals (8%): Following the same process as before, 8% of 360 gives us 28.8 degrees. Rounding it to the nearest whole number, we get 29 degrees.

3. Plastics (10%): Once again, multiply 10% by 360, which equals 36 degrees.

Remember, these calculations are based on the given percentages and converting them into angles. Now you can proceed with the rest of the trash types without feeling trashy about your math skills! Good luck!

See that's exactly what I thought, the 22% one was #1 but when I checked it in the back of the book it said it should be 25. Could the book be wrong? (It also says #3 should be 32)

To find the measure of each central angle in the graph, you will need to follow these steps:

1. Start by identifying the total number of categories or types of trash represented in the graph. In this case, there are three categories: Glass, Metals, and Plastics.

2. Next, convert the percentages given in the graph to decimal form. For example, glass is at 6%, metals are at 8%, and plastics are at 10%. Converting these percentages to decimals gives:

Glass: 6% = 0.06
Metals: 8% = 0.08
Plastics: 10% = 0.10

3. Calculate the total measure of the central angle using the formula:

Total Measure of Central Angle = 360 degrees

The total measure of the central angle is always equal to 360 degrees in a circle.

4. Determine the measure of each central angle for each category by multiplying the decimal form of each percentage by the total measure of the central angle. Round the result to the nearest whole number.

For Glass: Central angle measure = (0.06) x (360 degrees) = 21.6 degrees (rounded to 22 degrees)
For Metals: Central angle measure = (0.08) x (360 degrees) = 28.8 degrees (rounded to 29 degrees)
For Plastics: Central angle measure = (0.10) x (360 degrees) = 36 degrees

Therefore, the measure of the central angle for Glass is 22 degrees, for Metals is 29 degrees, and for Plastics is 36 degrees. Repeat the calculation steps described here for the other categories in the graph to determine their central angle measures.

Well, you sure have me puzzled :)

Yeah it left me clueless too, oh well, I will just have to hope I get them right. XD

Yes! The answer you provided on this website is true! I confirmed with my Geometry teacher that the answer in the book for #1 is in fact wrong... it is a typo.