Answer:x=31
angle AOC = 124
angle BOC = 56
Step-by-step explanation:
We first need to solve for x to solve the rest. We would normally solve for x by setting 2 equations equal to each other, in this case however, we know that the two angles are adjacent and in total add up to 180. Therefore we combine like terms of both angles, and set them equal to 180.
So, we do
3x+31+2x-6=180 We will combine like terms
5x+25=180 Now we will do inverse operations
5x=155
x=31
We plug x into angle AOC to solve for it
3(31)+31= 124
180-124=56 or angle BOC because the whole angle is 180, and if we subtract 124 from 180 we get the remainder which is angle BOC
Or if you want,
2(31)-6=56
Answer:
t₁ = 2,75 sec
Step-by-step explanation:
The ball will get h maximum when dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time
Then
h(t) = - 4t * ( 4*t - 11 )
h(t) = - 16*t² + 44*t
Taking derivatives on both sides of the equation we get:
dh/dt = - 32*t + 44
dh/dt = 0 ⇒ -32*t + 44 = 0
t = 44/32 ⇒ t = 1,375 s
So twice this time
2*t = 2 * 1.375
Total time t₁ = 2,75 sec
With a 45,45,90 right triangle, the hypotenuse is always the length of one of the other side times the square root of 2, so divide by that and you get 8
Answer:
Step-by-step explanation:
4x -39 > -43 8x + 31 < 23
Add 39 to both sides Subtract 31 from both sides
4x -39 + 39 > -43 + 39 8x + 31 - 31 < 23 - 31
Simplify Simplify
4x > -4 8x < -8
Divide both sides by 4 Divide both sides by 8
4x / 4 > -4 / 4 8x / 8 < -8 / 8
Simplify Simplify
x > -1 x < -1
Answer: A
