The right choice is the third option -> 11.5 m3.
To calculate the volume of the ramp, one must first determine the volumes of the rectangular prism and the triangular prism:
V_rectangular = 4m * 2m * 1m = 8 m3
V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3.
Therefore, to compute the total ramp volume, we combine both volumes:
V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3.
Correct choice is the third one.
We are given the points
<span>E (0, 27)
</span><span>F (5,−8)
and we need to calculate the rate of change and the initial value:
To determine the rate of change, we will apply the slope formula:
m = (-8 - 27) / (5 - 0) = -7
Thus, the rate of change is -7
The initial value refers to the y-coordinate when x equals 0, which corresponds to point E. Therefore, the initial value is 27.</span>
The answer is C since 24-3=21, followed by 21/1.50=14
s/18=64/288, multiply both sides by 18 yields s=1152/288, thus s=4 ft. Therefore, Sarah's height is four feet.