Answer:
2560 cm³
Step-by-step explanation:
Formula for volume of rectangular prism is length x width x height. So in this case, we're just multiplying:
20 x 8 x 16
160 x 16
= 2560
Answer:
(7x + 5)m
Step-by-step explanation:
area = base * height = (35x2 + 46x +15) m²
base = (5x + 3)
Using algebraic division, find the height. SEE ATTACHMENT
height = (7x + 5)
The correct answer is C. (5x+3) feet, and here is how I got it.
This is the equation you need to use:
(a+b)^2 = (a+b) (a+b)
So, let us plug in 5x and 3 here:
(5x+3)^2 = (5x+3)(5x+3) = 25x^2 + 15x + 15x + 9 = 25x^2 + 30x + 9 which is the area of the garden.
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.
FH is one diagonal that is split into two equal pieces by the other diagonal EG.
The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH
By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH
Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
2*15 = 4x-2 ... replace FH with 4x-2 (since FH = 4x-2)
and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8
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Answer: x = 8
Answer:
SA = 384 in²
Step-by-step explanation:
Assuming we're finding surface area:
SA of top of large cube: 8(8) - 4(4) = 48 in²
SA of sides of large cube: 4(8)(8) = 256 in²
SA of exposed faces of small cube: 5(4)(4) = 80 in²
Total = 48 + 256 + 80 = 384 = ∑SA
