A) Scale factor:
Divide 2 congruent sides:
24 / 36 = 0.667
From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.
B) Volume = (1/2 x base x side) x height:
Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.
C) Find the height of the prism:
7776 = (1/2 * base * sides) x height
7776 = (1/2 x 36 x 48) * height
7776 = 864 * height
Height = 7776 / 864 = 9 inches.
The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.
Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.
Pretty sure it’s d(all of the above)
The answer is 4 feet.
Draw a line segment from D perpendicular to AC and intersect AC at F.
triangle ADF is a right triangle, with angle AFD=90, Angle DAF=half of BAC=30
in a 30-60-90 triangle, the shortest side is half of the hypotenuse. the hypotenuse AD=8, so DF=4
Draw a line segment perpendicular from D to AB and intercept AB at E.
DE is also 4 feet, same as above.
<span>17-foot run will be 8.5 feet I think this may be right </span>
The square root of 115 is 10.72 which means the square root is between 10 and 11 which would make the answer A.
