If a round cake has 30 slices how many slices will represent an angle of 216°?
1 answer:
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Answer:
FD = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
=
( cross- multiply )
2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides
4x + 4 = 3x + 9 ( subtract 3x from both sides )
x + 4 = 9 ( subtract 4 from both sides )
x = 5
Thus
FD = x + 3 = 5 + 3 = 8
We can set this problem up as an algebraic equation, which we can then solve to find our answer.
We start at -3. So we can start our equation with that:
However, this doesn't represent any change in temperature, just that we start at -3. To show change, we will use the variable , where
stands for the number of hours. Each hour accounts for a change of -2.5 in degrees, meaning that we must multiply our
by -2.5. We can now add this term into our equation:
We are trying to find when we will reach -18 degrees, so we will set our entire equation equal to -18 and solve:
It will take us 6 hours, or choice A.