PLEASE HELP!!! 50 POINTS!! WILL GIVE BRAINLIEST!!!
1 answer:
Answer:
208.8 mi
Step-by-step explanation:
Form a triangle with the centre of the Earth (C) at one point, the horizon (H) as a second point, and the top of Mt. Everest (O) as the third (see diagram).
Let
r = Earth’s radius
h = height of Mt Everest
d = distance to horizon
∆CHO is a right triangle.
d² + r² = (r+h)²
d² + 3959² = (3959+5.5)²
d² + 15 673 681 = 3964.5²
d² + 15 673 681 = 15 717 260 Subtract 15 673 681 from each side
d² = 43 579 Take the square root of each side
d = 208.8 mi
The distance from the top of Mt Everest to the horizon is 208.8 mi.
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Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.