Answer:
X=+260
Step-by-step explanation:
In the picture. I hope that it's a clear.
Answer:
D
Step-by-step explanation:
4x^4+3x^2-3x^3-3x+1
Answer:
5.4 m
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the various lengths is ...
cd² = ac² +ad²
cd² = (2.4 m)² + (1.8 m)² = 9.00 m²
cd = √(9.00 m²) = 3.0 m
Since cd = cb and ab = ac+cb, we have ...
ab = 2.4 m + 3.0 m = 5.4 m
_____
You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...
0.6·(4+5) = 5.4
For this case we have the following equation:
![H (t) = -16t ^ 2 + vt + s](https://tex.z-dn.net/?f=%20H%20%28t%29%20%3D%20-16t%20%5E%202%20%2B%20vt%20%2B%20s%20%20)
Where,
t: time
v: initial speed
s: initial height
Substituting values we have:
![H (t) = -16t ^ 2 + 15t + 4](https://tex.z-dn.net/?f=%20H%20%28t%29%20%3D%20-16t%20%5E%202%20%2B%2015t%20%2B%204%20%20)
By the time the ball hits the ground we have:
![-16t ^ 2 + 15t + 4 = 0](https://tex.z-dn.net/?f=%20-16t%20%5E%202%20%2B%2015t%20%2B%204%20%3D%200%20%20)
From here, we clear the value of time:
Using the quadratic equation we have:
![t=\frac{-15+/-\sqrt{15^2-4(-16)(4)}}{2(-16)}](https://tex.z-dn.net/?f=%20t%3D%5Cfrac%7B-15%2B%2F-%5Csqrt%7B15%5E2-4%28-16%29%284%29%7D%7D%7B2%28-16%29%7D%20%20%20)
Doing the calculations we have:
![t1=-0.217\\t2=1.154](https://tex.z-dn.net/?f=%20t1%3D-0.217%5C%5Ct2%3D1.154%20)
Discarding the negative root, we have that the time is:
Answer:
it takes the ball to hit the floor about:
1.15 seconds