Solve for a 8 + 4a = 3a

let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.

think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.

now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area. Well, what is the circumference of that shaded area?

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies C=2\pi 12\implies C=24\pi \implies \stackrel{\textit{three quarters of it}}{24\pi \cdot \cfrac{3}{4}} \\\\\\ 6\pi \cdot 3\implies 18\pi$

well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=18\pi \end{cases}\implies 18\pi =2\pi r\implies \cfrac{18\pi }{2\pi }=r\implies 9=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{diameter is twice the radius}}{d=18}~\hfill$

3 0

3 years ago

A zoo is planning a new building for the penguin exhibit First they made a model that was 1.3 meters tall Then they made a more

Brrunno [24]

1.3x1.5x2.5= 4.875m is the height

8 0

3 years ago

Read 2 more answers

What is the greater faction than 11/20

Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

4 0

3 years ago