Maranda and rory are multiplying 4 1/3 by different fractions the table shows there work
1 answer:
Fractions are numbers represented by the quotients of two integers
Rory's product is less than Maranda's because 13/9 is less than 13/3
<h3>How to determine why Rory has a lesser product</h3>The expressions are given as:
Maranda: 4 1/3 * 4 1/3 * 1/3
Rory: 4 1/3 * 1 4/9
For Maranda, we have:
Rewrite the fraction
For Rory, we have:
Rewrite the fraction
When Maranda and Rory's expressions are compared, we have:
13/9 is less than 13/3
Hence, Rory's product is less than Maranda's because 13/9 is less than 13/3
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Alright, so first of all, you need to find the area of the circle that is part of the cone-shaped area so you can remove it. You need the formula:
where c = angle.
Now plug in the answers, and you get:
.
This would then equal to
.
now, essentially, the shape of this ENTIRE area is of 2 right triangles. Divide 120 by 2, you get 60 degrees. You have 2 60/30/90 triangles (shown in the bottom)
Now, what you need to do is to find the area of the entire thing by using the formula to calculate the right triangle area (A = (1/2)bh). You have b, which is 6. To find the h, you use tan(60) = x/6, which gives you
.
The area of one right triangle of this size would be =
Because 2 right triangles, multiply the area by 2 and get:
Now, remember the area of that circle in that total area? subtract it from the total area () by 12pi and you get 24.65.
The final answer is 24.65
Now plug in the answers, and you get:
This would then equal to
now, essentially, the shape of this ENTIRE area is of 2 right triangles. Divide 120 by 2, you get 60 degrees. You have 2 60/30/90 triangles (shown in the bottom)
Now, what you need to do is to find the area of the entire thing by using the formula to calculate the right triangle area (A = (1/2)bh). You have b, which is 6. To find the h, you use tan(60) = x/6, which gives you
The area of one right triangle of this size would be =
Because 2 right triangles, multiply the area by 2 and get:
Now, remember the area of that circle in that total area? subtract it from the total area (
The final answer is 24.65