<span>Based on hint and given formula, we can complete the problem. The question asks for square feet of grass so we know that we are solving for the area, A. It also tells us the height (looking downward) of the field is 75 ft,h, while the two bases are 125 ft and 81 ft (b1 and b2). So we can solve the equation.
A = 75((125+81)/2)
A = 75(206/2)
A = 75(103)
A = 7725
The area of the field is 7725 square feet.</span>
When the ball reaches the ground, its height is 0.
We set the height function equal to zero and solve for t, the time.
h = -16t^2 + 250
-16t^2 + 250 = 0
16t^2 - 250 = 0
![(4t + \sqrt{250})(4t - \sqrt{250}) = 0](https://tex.z-dn.net/?f=%20%284t%20%2B%20%5Csqrt%7B250%7D%29%284t%20-%20%5Csqrt%7B250%7D%29%20%3D%200%20)
![4t + \sqrt{250} = 0](https://tex.z-dn.net/?f=%204t%20%2B%20%5Csqrt%7B250%7D%20%3D%200%20)
or
![4t - \sqrt{250} = 0](https://tex.z-dn.net/?f=%204t%20-%20%5Csqrt%7B250%7D%20%3D%200%20)
![4t = -\sqrt{250}](https://tex.z-dn.net/?f=%204t%20%3D%20-%5Csqrt%7B250%7D%20)
or
![4t = \sqrt{250}](https://tex.z-dn.net/?f=%204t%20%3D%20%5Csqrt%7B250%7D%20)
![t = -\dfrac{\sqrt{250}}{4}](https://tex.z-dn.net/?f=%20t%20%3D%20-%5Cdfrac%7B%5Csqrt%7B250%7D%7D%7B4%7D%20)
or
![t = \dfrac{\sqrt{250}}{4}](https://tex.z-dn.net/?f=%20t%20%3D%20%5Cdfrac%7B%5Csqrt%7B250%7D%7D%7B4%7D%20)
We discard the negative solution since time must be positive.
The positive solution is
![t = \dfrac{\sqrt{250}}{4} \approx 4.0](https://tex.z-dn.net/?f=%20t%20%3D%20%5Cdfrac%7B%5Csqrt%7B250%7D%7D%7B4%7D%20%5Capprox%204.0%20)
Answer: 4.0 seconds
Answer:
10 gallons of gas.
Step-by-step explanation:
250/9 = how many miles 1 gallon of gas will take
250/9 = 27.78
1 gallon of gas = 27.78 miles
275/27.78 = 9.90 gallons
9.90 gallons round up to 10 gallons
Therefore, Trey would need 10 gallons of gas to drive 275 miles.
2/3, 7/6, 5/3 and just in case... 13/6
Answer:
The diver does not go up or down before observing the eel.
3 x 0.4 feet = 1.2 feet downward.
15 + 1.2 = 16.2 feet below the surface of the water.
Step-by-step explanation: