The correct answer is 14.2 lb which is choice D.
Let:
F = minimum force required to prevent ball from rolling down the ramp
The formula will be:
F = w * sin theta
F = w * sin (39 degrees)
F = 22.6 * sin (39)
= 14.2 lb (this is rounded to the nearest tenth)
Answer:
x < 33.84
Step-by-step explanation:
we have
13.48x-200 < 256.12
Solve for x
Adds 200 both sides
13.48x-200 +200 < 256.12+200
13.48x < 456.12
Divide by 13.48 both sides
13.48x/13.48 < 456.12/13.48
x < 33.84
The solution is the interval ----> (-∞, 33.84)
All real numbers less than 33.84
Answer:
Step-by-step explanation:
2012 = 2500
2500 x .50 = 1250
2500 + 1250
2013 = 3750
3750 x .50 =
3750 + 1875
2014 = 5625
5625 x .50 = 2812.5
5625 + 2812.5
2015= 8437.5
8437.5 x .50 = 4218.75
8437.5 + 4218.75
2016= 12656.25
12656.25 x .50 = 6328.125
12656.25 + 6328.125
2017= 18984.375
18984.375 x .50 = 9492.1875
18984.375 + 9492.1875
2018= 28,476.5625
Hey there!
Tom's age to Mary's is 3:4; an equivalent ratio is 15:x (x symbolizes Mary's age).
To solve for this, we need to divide our proportions. By that, I mean divide Tom's older age by his younger age. If we do so, we should get a scale factor that we can multiply Mary's younger age by.
15 / 3 = 5
This means that the scale factor of the ages is 5.
x / 4 = 5 (Solving for Mary's unknown age.)
To solve for x, multiply both sides by 4.
x/4 * 4 = x
5 * 4 = 20
x = 20
Mary's age is 20.
I hope this helps!
