The answer is A=64 but I’m not pretty sure
Answer:
It would be any positive slope.
Let a, b, and c be the times each pump will fill the tank when working alone.
Therefore, in 1 hour;
1/a +1/b = 1/(6/5) = 5/6 ---- (1)
1/a+1/c = 1/(3/2) = 2/3 ---- (2)
1/b+1/c = 1/(2) = 1/2 ---- (3)
From equation (1)
1/a = 5/6-1/b
Substituting for 1/a in eqn (2)
5/6-1/b+1/c = 2/3
-1/b +1/c = -1/6 => 1/c = 1/b - 1/6 --- (4)
Using eqn (4) in eqn (3)
1/b+1/b-1/6 = 1/2
2/b-1/6 = 1/2
2/b =1/2+1/6 = 2/3
1/b = 1/3
Then,
1/c = 1/3 - 1/6 = 1/6
1/a = 5/6 - 1/3 = 1/2
This means, in 1 hour and with all the pumps working together, the tank will be filled to;
1/a+1/b+1/c = 1/2+1/3+1/6 = 1 (filled fully).
Therefore, it will take 1 hour to fill the tank when all pumps are working together.
If the triangle is increased to twice the base and the height the size will increase by 48 ft²
<h3>How to find the area of a triangle?</h3>
The area of a triangle can be described as follows;
area of a triangle = 1 / 2 bh
where
Therefore, the total area of the garden is 16 square feet.
Hence,
16 ft² = 1 / 2 bh
Hence, if the the triangle is increased to twice the base and the height the size will be as follows;
area = (1 / 2) × 2b × 2h
area = 4 × (1 / 2 bh)
area = 4 × 16
area = 64 ft²
Therefore,
difference in area = 64 ft² - 16 ft²
difference in area = 48 ft²
Therefore, if the the triangle is increased to twice the base and the height the size will increase by 48 ft²
learn more on triangle here: brainly.com/question/9593766
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Answer:
Employee benefit
Step-by-step explanation:
