14 10 56 40 14 x 56 find the length of the missing side
1 answer:
You might be interested in
Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545
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 .