We can set up a proportion to figure out how many laps out of 200 laps is 57% out of 100%
Cross multiply
The answer is 114 laps.
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:
Step-by-step explanation:
This is the case of an exponential growth. The function for exponential growth is,
where,
- y(t) = value after time t = f(x)
- y₀ = initial value = $120,000
- r = rate of growth = 5.5% = 0.055
- t = number of periods = x years
Putting the values,