The volume of the pyramid is 2496 cu.m.
<h3>What is a Pyramid ?</h3>
A pyramid is a three dimensional structure which has a polygon base and in general triangular faces which join at the top .
It is given that
A pyramid
has a 4 m by 4 m square top
Height = 12 m
Base = 20 m
The volume of a square pyramid with a
is given by
V = (1/2) * ( Area of base + Area of
) * height of the
from the base
V = 0.5 * ( 20 *20 + 4*4 ) * 12
V = 2496 cu.m
The volume of the pyramid is 2496 cu.m.
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Step-by-step explanation:
let's look at the last line :
x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D
since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).
x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)
by comparing now both sides, to make both sides truly equal, the factors have to be equal.
A = 1 (the same as for x³ on the left hand side).
B = 0 (a we have no x² on the left side).
5A + C = 8 (a 8 is the factor of x in the left side).
5×1 + C = 8
5 + C = 8
C = 3
5B + D = -3 (as the constant term is -3 on the left side).
5×0 + D = -3
D = -3
so, the 4th answer option is correct.
If your total is $14.30 and you use a 25% discount you total would then be $10.73
So $10.73 would be your answer
Answer:
<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>
Step-by-step explanation:
In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

And we know that

Replacing these expressions, we have

Then, we replace this value in each expression to find both angles measures.

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.
Answer: You get an answer?
Step-by-step explanation: