Answer:
<em>V = 1,568</em>
Step-by-step explanation:
<u>The Volume of a Square Pyramid</u>
Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:
We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft
We use Pythagora's theorem:
Solving for h:
The height is h=24 ft. Now the volume is calculated:
V = 1,568
Answer:
About 152 pieces of candy
Step-by-step explanation:
Set up equal proportions to solve for the $5.99 bag.
We know that 24 pieces = .99, so
Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.
Cross-multiply.
25(5.99) = .99x
Simplify.
149.75 = .99x
Divide both sides by .99.
x = 151.26 = about 151 pieces of candy
Answer:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
Answer:
1/2
Step-by-step explanation:
So you have 12 bags total.
2 are 1/6 so their total weight is 1/3
2 are 1/3 so their total weight is 2/3
3 are 1/2 so their total weight is 3/2
4 are 2/3 so their total weight is 8/3
1 is 5/6 so their total weight is 5/6
Now add all of these up:
1/3 + 2/3 + 3/2 + 8/3 + 5/6 = 36/6 = 6
Then divide by the number of bags to get the average weight: 6/12 = 1/2
Answer:
1 and 15
Step-by-step explanation:
8-7=1
8+7=15
