Hi there,
It is 1 4/5. In decimal it is 1.8. Hope it helps:-)
Answer:
The initial speed of the car was 80 ft/s.
Step-by-step explanation:
The deceleration is the rate at which the car speed decreases. In this case the speed of the car goes all the way down to 0 ft/s and in order to do that it travelled 50 ft. So we will call the initial speed at which the car started to brake "v_0" and use Torricelli's equation to find it. The equation is given by:
v^2 = (v_0)^2 + 2*a*S
Where v is the final speed, v_0 is the initial speed, a is the rate of acceleration and S is the space travelled. Using the values that the problem gave to us we have:
0^2 = (v_0)^2 - 2*64*50
0 = (v_0)^2 - 6400
(v_0)^2 = 6400
v_0 = sqrt(6400) = 80 ft/s
Notice that in this case "a" was negative, since the car was decelerating instead of accelerating.
The initial speed of the car was 80 ft/s.
Okay so the total is 183. So we can say 183 =
Let's call the width (the longer side) x.
We know that we have x, x + 32, and x - 5.
We can say 183 = x + (x + 32) + (x - 5).
Let's solve for x.
x = 52.
So we know the length is 84 feet, the shorter side has 47 feet, and the longer side has 52 feet.
If both triangles are congruent (that's what the sign means), then AD=CB, and CD=AB. Substituting what we are given into CD=AB,
6x-5=3x+10
Solving the equation:
3x=15
x=5
So we know that 2x+4 (the value of AD) becomes 2*5 +4, and you get 14. Since we know that AD=CB, then CB is also 14. No need to find y!
Answer: CB=14
