Answer:
46.57
Step-by-step explanation:
Given that:
h(t) = 37t - 4.9t²
When the ball reaches the ground, then the height is zero;
So, we equate h(t) to zero and solve for t
37t - 4.9t² = 0
t = 0, 7.55
Let the Initial time be a = t = 0
The time the ball reaches the ground be b = 7.55
So, the average height can now be calculated as:
Average height = ![\frac{1}{b-a}\int\limits^b_a {h(t)} \, dt](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bb-a%7D%5Cint%5Climits%5Eb_a%20%7Bh%28t%29%7D%20%5C%2C%20dt)
= ![\frac{1}{7.55-0}\int\limits^{7.55}_0 (37t-4.9^2) dt](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7.55-0%7D%5Cint%5Climits%5E%7B7.55%7D_0%20%2837t-4.9%5E2%29%20%20%20dt)
= ![\frac{1}{7.55-0}\ (\frac{37(7.55)^2}{2} - \frac {4.9(7.55)^3}{3})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7.55-0%7D%5C%20%28%5Cfrac%7B37%287.55%29%5E2%7D%7B2%7D%20-%20%5Cfrac%20%7B4.9%287.55%29%5E3%7D%7B3%7D%29)
= ![\frac{1}{7.55-0}\ (351.6104208)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7.55-0%7D%5C%20%28351.6104208%29)
= 46.57091665
≅ 46.57 to (2 decimal places)
Answer:
20
Step-by-step explanation:
twenty times five is one hundred, so, I hope that's the answer you're looking for
Subtracting a value from the exponent shifts the graph to the right.
So if you subtract 3, the graph would shift 3 units to the right.
Answer:
x = 82°
Step-by-step explanation:
The triangle sum theorem states that the sum (total measure) of all angles in a triangle must add up to 180°.
Therefore:
60° + 38° + x° = 180°
98° + x° = 180°
98° – 98° + x° = 180° – 98°
x = 82°
Answer:
x = 36
Step-by-step explanation:
4 = 1/9 * x
36 = x