Trial and error on this one try each pair till you find negative slopes
C and D
Answer:
x = 9 and ∠ B = 40°
Step-by-step explanation:
See the diagram given with the question first.
Here we have ∠ A = ∠ B {They are corresponding angles}
Now, it is given that ∠ A = 5x - 5 and ∠ B = 3x + 13
Hence, 5x - 5 = 3x + 13
⇒ 2x = 18
⇒ x = 9
Therefore, ∠ B = 3x + 13 = 3(9) + 13 = 40° (Answer)
(base area)*h
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Answer:
a = 1565217.39 ft / s ^ 2
t = 0.001725 seconds
Step-by-step explanation:
The first thing is to use the same system of units therefore we will pass the 28 inches to feet, like this:
28 in * (1 ft / 12 in) = 2.33 ft
Now yes, we can continue, we have the following data:
vi = 0
vf = 2700 ft / s
the equations in this case are as follows:
vf = vi + a * t
vf = a * t
rearranging for a
a = vf / t (1)
now with the position equation we know that:
x = vi * t + (a * t ^ 2) / 2
x = (a * t ^ 2) / 2 (2)
now replacing (1) in (2), we are left with:
x = (vf / t) * (t ^ 2) / 2
knowing that x would be 2.33 ft, which is when the cannonball exits the cannon.
2.33 = 2700 * t / 2
t = 2.33 * 2/2700 = 0.001725 seconds.
and now replace in (1)
a = vf / t = 2700 / 0.001725 = 1565217.39 ft / s ^ 2