Write and solve an equation of ratios:
6 inches 1 inch
-------------- = ------------
60 inches x
Cross-multiplying, 6x = 60, so x = 10 inches (answer)
Answer:
Alternate Interior Angles
Step-by-step explanation:
The angles are on opposite sides of the transversal and are in between the parallel lines. This means they are alternate Interior Angles. Additionally, this means they are congruent, so 15x=12x+15, which gives us x=5, and the measurements of the angles are 75° each.
Answer:
40
Step-by-step explanation:
Step 1: Define
2r(t - 1)
r = 4
t = 6
Step 2: Substitute and Evaluate
2(4) · (6 - 1)
8 · 5
40
Answer:
3 seconds
Step-by-step explanation:
You want to set h(t)=3, then take the root such that t≠0. You would have:
3=3+48t−16t^2
Let's solve your equation step-by-step.
3=3+48t−16t2
Step 1: Simplify both sides of the equation.
3=−16t2+48t+3
Step 2: Subtract -16t^2+48t+3 from both sides.
3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)
16t2−48t=0
Step 3: Factor left side of equation.
16t(t−3)=0
Step 4: Set factors equal to 0.
16t=0 or t−3=0
t=0 or t=3
3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.
So the ball was in the air for 3 seconds.
Answer:
$3,190.80
Step-by-step explanation:
yr 1:
27500 x .35 = 9625
27500 - 9625 = 17875
yr 2:
17875 x .35 = 6256.25
17875 - 6256.25 = 11618.75
yr 3:
11618.75 x .35 = 4066.5625
11618.75 - 4066.5625 = 7552.1875
yr 4:
7552.1875 x .35 = 2643.265625
7552.1875 - 2643.265625 = 4908.921875
yr 5:
4908.921875 x .35 = 1718.12265625
4908.921875 - 1718.12265625 = 3190.79921875
