The volume of a pyramid is 1/3 the volume of a prism with the same area and height.
Volume of the pyramid would be 18/3 = 6 in^3
The third selection is appropriate.
|-40 -18| = |-58| = 58 . . . . units
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In the first selection, it is trying to tell you |-58| = -58. That is not so. The result of taking the absolute value is that the sign is never negative.
Here is how to solve this question.
Since x represents children and y represents adults.
1,000 = (6x+8y) - 200
6x + 8y = 1,000 + 200
6x + 8y = 1,200
1,000 = 8y - 200
1,000 + 200 = 8y
1,200 = 8y
1,200/8 = 8y/8
150 = y
150 adults need to attend for the organizers to raise the targeted amount.
Happy studying ^-^
<span>Since
this is an SAT Math Level 2 problem derivatives should not be required
to find the solution. To find "How many more hours of daylight does the
day with max sunlight have than May 1," all you need to understand is
that sin(x) has a maximum value of 1.
The day with max sunlight will occur when sin(2*pi*t/365) = 1, giving the max sunlight to be 35/3 + 7/3 = 14 hours
Evaluating your equation for sunlight when t = 41, May 1 will have about 13.18 hours of sunlight.
The difference is about 0.82 hours of sunlight.
Even though it is unnecessary for this problem, finding the actual max
sunlight day can be done by solving for t when d = 14, of by the use of
calculus. Common min/max problems on the SAT Math Level 2 involve sin
and cos, which both have min values of -1 and max values of 1, and also
polynomial functions with only even powered variables or variable
expressions, which have a min/max when the variable or variable
expression equals 0.
For example, f(x) = (x-2)^4 + 4 will have a min value of 4 when x = 2. Hope this helps</span>
