Answer:
Step-by-step explanation:
- The lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.
- The lengths of the sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2
- We can get the length of the longest side of the bottom triangle is 9×2÷√3 =
- And based on the theory shown on the 2nd step, we can get x (the length of the longest side of the upper triangle) is x√2
Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.
Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.
Answer:
x is 9
Step-by-step explanation:
6x+10=2x+26
-2x -2x
4x+10=26
+10 +10
4x=36
--- ---
4 4
x=9
Motorcycle shop maintains
U - used bikes
N - new bikes = 4N
1 U = 4N
? U = 16 new bikes
16/4 = 4. There are 4 used bikes that are in stock.
