What is ? |6| + |5| =
1 answer:
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Answer:
The maximum height is reached after 3.75 seconds.
Step-by-step explanation:
Assuming the deceleration due to gravity is unaided by air resistance, gravity causes the ball to lose vertical speed at the rate of 32 ft/s every second. The initial vertical speed of 120 ft/s will decline to zero when t satisfies ...
... 120 ft/s - (32 ft/s²)t = 0
... (120 ft/s)/(32 ft/s²) = t = 3.75 s
The ball will not go any higher after its vertical speed is zero.
Your answer is L = 11 cm.
If the volumes of both shapes are the same, then we can set them equal to each other and solve for L to find the answer.
The volume of a rectangular prism is base × height × depth, which comes to 5 × 6 × L = 30L
The volume of the trapezoid prism (the shape on the left) would be the area of the trapezoid on the front, multiplied by the depth. This gives you:
× 6 × 10 = 5.5 × 6 × 10 = 330
So now we get:
330 = 30L
÷ 30
L = 11
I hope this helps!