let
x = the number of party favors in each of the 27 boxes
y = the number of party favors in the last box
the total number of party favors is 1,552
27x + y = 1,552
since 1552 = 57*27 + 13
if we assume that y<x we conclude that there are 57 party favors in each of the 27 boxes and 13 party favors in the last box.
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Answer:
It is
Step-by-step explanation:
because it repeats
From SOH CAH TOA,
.. cos(22°) = x/11 . . . . . fill in given values for C = A/H
.. 11*cos(22°) = x . . . . . multiply by 11
.. 11*0.927184 = x . . . .use a calculator to find cos(22°)
.. 10.1990 = x . . . . . . . use a calculator to do the multiplication
x ≈ 10.2 . . . . . . . . . . . round to the nearest tenth
We have the formula A = (h x b) / 2, where A is the area of the triangle, h is the height of the triangle, b is the base of the triangle;
So, 32 =(8 x b) / 2;
Then, 64 = 8 x b;
b = 64 ÷ 8;
b = 8 inches;