Answer:
About 152 pieces of candy
Step-by-step explanation:
Set up equal proportions to solve for the $5.99 bag.
We know that 24 pieces = .99, so
Make sure to keep the pieces on top, and the dollars on bottom (or vice versa). If your units are messed up, it will not work.
Cross-multiply.
25(5.99) = .99x
Simplify.
149.75 = .99x
Divide both sides by .99.
x = 151.26 = about 151 pieces of candy
Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
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<h3>setup</h3>Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
