What’s the question the picture doesn’t show ?
If you cut a pizza into eighths, and eat one piece, you have eaten 1/8, so the denominator is always how many pieces there are. Hope this helps! Have a nice night.<span />
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:
The value of x is 16
Step-by-step explanation:
The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle
In Δ QPR
∵ QS is the angle bisector
∵ PR is the opposite side
→ By using the rule above
∴
= ![\frac{SR}{RQ}](https://tex.z-dn.net/?f=%5Cfrac%7BSR%7D%7BRQ%7D)
∵ PS = x and PQ = 30
∵ PR = 40
∵ RS = PR - PS
∴ RS = 40 - x
∵ RS = 40 - x and RQ = 45
→ Substitute them in the rule above
∴
= ![\frac{40-x}{45}](https://tex.z-dn.net/?f=%5Cfrac%7B40-x%7D%7B45%7D)
→ By using the cross multiplication
∵ x × 45 = 30 × (40 - x)
∴ 45x = 30(40) - 30(x)
∴ 45x = 1200 - 30x
→ Add 30x to both sides
∵ 45x + 30x = 1200 - 30x + 30x
∴ 75x = 1200
→ Divide both sides by 75
∴ x = 16
∴ The value of x is 16