16. Adam uses a microscope to observe insects in science class. The
1 answer:
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Answer:
97.53 in³
Step-by-step explanation:
The cylindrical birthday cake has a diameter (d) of 14 inches and a height (h) of 6 inches.
The radius of the cake (r) = diameter / 2 = 14 inches / 2 = 7 inches.
The volume of the full cake = πr²h = π(7²)6 = 924 in³
Since only a part of the cake was cut and given to Myong. The total measure of the cake is 360°, but the part given to her was 38°. Hence the volume of her slice is given as:
Volume of her slice = (38 / 360) * volume of the full cake = (38 / 360) * 924 = 97.53 in³
Volume of her slice = 97.53 in³
For this problem, we are going to use the Remainder Theorem. This says that for to be a factor of a polynomial
, then
. Essentially, it says that
is a factor if when you substitute
into the polynomial you get a result of 0.
Thus, in our case, when we substitute into the polynomial, we should get an answer of 0 if
is a factor of the polynomial. Given this information, we can solve for
:
The solution is c = 3.