1st multiply 2 x 8 x 144 = 2304 in^3divide 2304 by 144 = 16 board feet
Answer:
The answer to your question is the letter B) y = 3x - 3
Step-by-step explanation:
Data
Point = (2, 3)
slope = m = 3
Process
To solve this problem just substitute the values given in the slope-point equation.
Formula
y - y1 = m(x - x1)
x1 = 2 y1 = 3
-Substitution
y - 3 = 3(x - 2)
-Expand
y - 3 = 3x - 6
-Solve for y
y = 3x - 6 + 3
-Result
y = 3x - 3
Answer=60
Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.
a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18
The formula for the volume of a triangular prism is...
V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H
So x=18 and y=3 1/3 or 3.33 repeating
The product of the two
18*3 1/3=60
Answer=60
Answer:
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