A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Pérez. If Garcia won by a ratio of 5 to 3, what was the
1 answer:
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Answer:
b. about 91.7 cm and 44.6 cm
Step-by-step explanation:
The lengths of the diagonals can be found using the Law of Cosines.
Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).
For diagonal "d" and sides "a" and "b" and corner angle D, we have ...
d² = a² +b² -2ab·cos(D)
The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...
d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)
d² ≈ {1988.2, 8411.8}
d ≈ {44.6, 91.7} . . . . centimeters
The diagonals are about 91.7 cm and 44.6 cm.
Answer:
Width: 10.5 feet
Length: 31.5 feet
Step-by-step explanation:
Let x represent width of the concrete slab.
We have been given that the length of a concrete slab is three more than three times the width. So length of the slab would be .
We are also told that the area of slab is 330 square feet. We can represent this information in an equation as:
Now, we will take square root of both sides.
Therefore, the width of slab is approximately 10.5 feet.
The length of the slab would be .
Therefore, the length of slab is approximately 31.5 feet.