A rectangular swimming pool has an area of (70x+10) square feet. Find possible dimensions of the pool.
2 answers:
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9514 1404 393
Answer:
13 in by 51 in
Step-by-step explanation:
The area is the product of the dimensions, so is ...
663 = x(4x -1)
4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form
Using the quadratic formula, we can find the solutions.
x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))
x = (1 ± √10609)/8 = (1 ±103)/8
Only the positive solution is of any use in this problem, so ...
x = 104/8 = 13
4x-1 = 4(13)-1 = 51
The dimensions of the rectangle are 13 inches by 51 inches.
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I find it easiest to solve these using a graphing calculator.
Answer:
The value of
Step-by-step explanation:
Let's recall the the formula for volume of a pyramid.
Volume of a Pyramid ....equation
where and
Now we have been given the values of and
and have to find the value of
Plugging the values of and
in equation
Now we can also check our previous results.
So, our final answer is