Answer: AB = 9
Step-by-step explanation:
Since B is the midpoint, AB and BC must be congruent (since theyre both half of the segment). The equation is:
2x + 5 = 5x - 1
This means x = 2, meaning AB is 9.
Answer:
12
Step-by-step explanation:
The formula for the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. Therefore, the tangent of angle x is 420/2000=0.21. Taking the arctangent of that to get the angle, you get about 12 degrees. Hope this helps!
Answer:
20x
Step-by-step explanation:
Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
Step-by-step explanation:
Given
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
Reorder
Using quadratic formula, we have:
Where
So, we have:
This gives:
or
or
or
But time can not be negative.
So, we have:
<em>Hence, time to hit the ground is 5.0625 seconds</em>