Answer:
36 cubic yards
Step-by-step explanation:
If each cube is 1 cubic yard by 1 cubic yard, then there are 3 cubic yards for the width, 3 cubic yards for height, and 4 cubic yards for length. Finding the volume of a rectangular prism is L*W*H, 3*3*4 = 36. So, 36 cubic yards is your answer.
Answer:
B. (1,5) and (5.25, 3.94)
Step-by-step explanation:
The answer is where the 2 equations intersect.
We need to solve the following system of equations:
y = -x^2 + 6x
4y = 21 - x
From the second equation:
x = 21 - 4y
Plug this into the first equation:
y = -(21 - 4y)^2 + 6(21 - 4y)
y = -(441 - 168y + 16y^2)+ 126 - 24y
y = -441 + 168y - 16y^2 + 126 - 24y
16y^2 + y - 168y + 24y + 441 - 126 = 0
16y^2 - 143y + 315 = 0
y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)
y = 5, 3.938
When y = 5:
x = 21 - 4(5) = 1
When y = 3.938
x = 21 - 4(3.938) = 5.25.
Answer:
Step-by-step explanation:
The result can be shown in multiple forms.
Exact Form:
24
−
16
√
2
Decimal Form:
1.37258300
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