Solve the equation for
1 answer:
The equation solved for w is w = 6g - 40
<h3>How to solve the equation?</h3>The complete question is in the attached image
The equation is given as:
g = 1/6(w + 40)
Multiply both sides by 6
6g = w + 40
Subtract 40 from both sides
w = 6g - 40
Hence, the equation solved for w is w = 6g - 40
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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.
Let's solve ~
Therefore, Option D is correct ~