General equation for height, h
h = ut + 0.5gt^2
at t=1s, h = 76 feet
76 = u*1 + 0.5*a*1^2
76 = u + 0.5a
at t=2s, h = 144 feet
144 = u*2 + 0.5*a*2^2
144 = 2u + 2a
72 = u + a
Subtract 2 equations
0.5a = -4
a = -8
u = 80
So the equation,
h(x) = 80t + 0.5*(-8) t^2
h(x) = 80t - 4t^2
Answer:
m∠2= 86
Step-by-step explanation:
since they are vertical angles, that means they are both equal to eachother.
so lets set them equal!
17x+1=20x-14
17x+15=20x
15=3x
x=5
now input x into m∠2
m∠2 = 20(5) – 14 = 86
Answer:
Step-by-step explanation:
We are given:
And we want to find:
This is equivalent to:
Therefore, by substitution:
Rearranging gives:
Combine like terms:
The answer for rounding 17.55 to a decimal place is 88/5.
Angle A and D are similar
Angle B and E are similar
Angle C and F are similar
So this means they have congruent angles, meaning whichever angles are similar the angles will also be similar.
So since angle A is 62 degrees, angle D is 62 degrees too.
Since angle E is 80 degrees, angle B has to be 80 degrees as well.
All triangles add up to 180 degrees, so to find the angle measure of angle C and F, do:
180-(62+80)
180-142
= 38 degrees
So angles C and F are 38 degrees
Conclusion:
angles A and D: 62 degrees
angles B and E: 80 degrees
angles C and F: 38 degrees
