Answer:
B) 4,320
Step-by-step explanation:
You would first find the volume of the triangular prism using this formula:
V = 1/2 x A x C x H
A = 3 C = 6 H = 24
V = 1/2 x 3 x 6 x 24 = 216 cubic feet
Since there are 20 pounds of snow per cubic foot, you multiply the cubic feet (216) by the pounds of snow per cubic foot (20):
216 x 20 = 4,320 pounds
False. Intrinsic motivation is a reflection that needs to do something.
Answer:
Step-by-step explanation:
Figure it out
Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
========================
What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
