Answer:
the base or (b) is 10. The height or (H) is 15. The area of the triangle is 75.
Step-by-step explanation:
Answer:
Horizontal distance, d = 9.146
Step-by-step explanation:
The given function is
![f(d) = -0.6d^{2} + 5.4d + 0.8](https://tex.z-dn.net/?f=f%28d%29%20%3D%20-0.6d%5E%7B2%7D%20%2B%205.4d%20%2B%200.8)
The horizontal distance, d, is the distance on ground. So, set f(d) = 0.
That is, a height of zero which becomes the ground level.
![0 = -0.6d^{2} + 5.4d + 0.8](https://tex.z-dn.net/?f=0%20%3D%20-0.6d%5E%7B2%7D%20%2B%205.4d%20%2B%200.8)
Using the quadratic formula:
![d = \frac{-5.4±\sqrt{5.4^{2} -4(-0.6)(0.8)} }{2(-0.6)}\\ \\d = \frac{-5.4±\sqrt{29.16 + 1.92} }{-1.2}\\\\d = \frac{-5.4±\sqrt{31.08} }{-1.2} = d = \frac{-5.4±5.57}{-1.2}\\\\d = -0.146, 9.146](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B-5.4%C2%B1%5Csqrt%7B5.4%5E%7B2%7D%20-4%28-0.6%29%280.8%29%7D%20%7D%7B2%28-0.6%29%7D%5C%5C%20%5C%5Cd%20%3D%20%20%5Cfrac%7B-5.4%C2%B1%5Csqrt%7B29.16%20%2B%201.92%7D%20%7D%7B-1.2%7D%5C%5C%5C%5Cd%20%3D%20%20%5Cfrac%7B-5.4%C2%B1%5Csqrt%7B31.08%7D%20%7D%7B-1.2%7D%20%3D%20d%20%3D%20%20%5Cfrac%7B-5.4%C2%B15.57%7D%7B-1.2%7D%5C%5C%5C%5Cd%20%3D%20-0.146%2C%209.146)
Thus, the ball is in air between d=-0.146 to d=9.146.
Since the distance can not be negative, the ball remains in the air between d = 0 to d = 9.146.
Therefore d = 9.146
Answer:
square root (50) = 7.071
Step-by-step explanation:
Using Pthagoras' theorem, the diagonal length is
.
Therefore, the diagonal length is the square root of 5^2+5^2,
= ![\sqrt{x} 25+25](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%2025%2B25)
= ![\sqrt{x} 50](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%2050)
= 7.071