Answer:
3.375 or 3 3/8 or 27/8 (all the same answer just in different forms)
Step-by-step explanation:
3/8 x 9 (or 9/1)
Answer:
Time, t = 4.5 s
Step-by-step explanation:
The number of seconds t it takes the ball to hit the green can be represented by the equation :
![-16t^2 + 70t + 5 = -4](https://tex.z-dn.net/?f=-16t%5E2%20%2B%2070t%20%2B%205%20%3D%20-4)
It means that the initial velocity is 70 ft/s. The above equation becomes:
![-16t^2 + 70t + 9=0](https://tex.z-dn.net/?f=-16t%5E2%20%2B%2070t%20%2B%209%3D0)
It is required to find the time taken by the ball to land on the ground. It is a quadratic equation. The solution of quadratic equation is given by :
![t=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\t=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\t=\dfrac{-70+ \sqrt{(70)^2-4\times (-16)(9)} }{2(-16)}, \dfrac{-70-\sqrt{(70)^{2}-4\times(-16)(9)}}{2(-16)}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B-b%5Cpm%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5Ct%3D%5Cdfrac%7B-b%2B%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%2C%5Cdfrac%7B-b-%20%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5Ct%3D%5Cdfrac%7B-70%2B%20%5Csqrt%7B%2870%29%5E2-4%5Ctimes%20%28-16%29%289%29%7D%20%7D%7B2%28-16%29%7D%2C%20%5Cdfrac%7B-70-%5Csqrt%7B%2870%29%5E%7B2%7D-4%5Ctimes%28-16%29%289%29%7D%7D%7B2%28-16%29%7D)
t = −0.125 and t = 4.5 s
Time cannot be negative. So, the time taken by the ball to land on the ground is 4.5 seconds.
Answer: 11
Step-by-step explanation:
6/X-1=3/5
3X-3=30
X=11
Step-by-step explanation:
B)1.supplementary
2.complementary
3complementary
4supplementary
5supplementary
6complementary
C)1.40
2.35
3.63
4.130
2.25 will be added into the account of the total of the money