Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
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Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
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The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!
There isn't a picture of a pattern to go by.
B. Rotation
I’m assuming the question is not asking about placement but just the way the shape is.
Hope this helps!
Answer:
-0.5x² + 20x + 100
Step-by-step explanation:
Given:
R = 25x - 0.5x²
C = 100 + 5x
P = R - C
Where,
P = profits
R = Revenue
C = Cost
which expression represents her profit in dollars?
P = R - C
R = 25x - 0.5x²
C = 100 + 5x
= 25x - 0.5x² -(-100 + 5x )
= 25x - 0.5x² + 100 - 5x
= -0.5x² + 20x + 100
The expression which represents her profit in dollars is -0.5x² + 20x + 100
