Answer:
Volume = 1114.1
Step-by-step explanation:
Recall that the formula for the volume of a pyramid is given by:
where B is the area of the pyramid's base (in our case a square of side 12,8 in), and H the pyramid's height (in our case 20.4 in).
Then the square base of the pyramid has an area given by:
Finally,we can now write the volume of the pyramid as:
Rounding the answer to a tenth of a cubic inch, we get:
Volume = 1114.1
The value of p if the pair of equations may have one root common is 1.
<h3>What are the roots of the equation?</h3>Let the equation be ax² + bx + c = 0.
Then the roots of the equation will be
The equations are given below.
2x² + px - 1 = 0 and 3x² - 2x - 5 = 0
The roots of the equation 3x² - 2x - 5 = 0 will be
3x² - 5x + 3x - 5 = 0
(3x - 5)(x + 1) = 0
x = -1, 5/3
At x = -1, the value of p will be
2(-1)² + p(-1) - 1 = 0
2 - p - 1 = 0
p = 1
The value of p if the pair of equations may have one root common is 1.
More about the roots of the equation link is given below.
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