Rates Mike walked 3 miles in 45 minutes. What was his rate in miles per hour? what's the answer helppp
2 answers:
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Answer:
The ladder has to be 65 feet long to the nearest foot.
Step-by-step explanation:
The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.
Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.
Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.
Therefore, using trigonometry we can write,
⇒ The length of the ladder = 65 feet.
Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)
container B needs to be filled faster in order for both containers to gain the same amount of water per minute , and by 1/6 water per minute .
<u>Step-by-step explanation:</u>
Here we have , two leaky containers are filling with water. water enters container a at a rate of 2/3 cup per 1/2 minute and leaks out at a rate of 1/4 cup per 3/4 minute. water enters container b at a rate of 3/4 cup per 1/2 minute and leaks out at a rate of 1/2 cup per 3/4 minute. We need to find which container needs to be filled faster in order for both containers to gain the same amount of water per minute . Let's find out:
Rate of Filling container A:
⇒
⇒
Rate of leaking Container A:
⇒
⇒
Amount of water in Container A in one minute :
⇒
No , following same for Container B
Rate of Filling container B:
⇒
⇒
Rate of leaking Container B:
⇒
⇒
Amount of water in Container B in one minute :
⇒
Since , Rate of water per minute in container A is 1 and , Rate of water per minute in container B is 5/6 , container A fills faster by container B by
⇒
Therefore , container B needs to be filled faster in order for both containers to gain the same amount of water per minute , and by 1/6 water per minute .