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.
Answer:
It's B and C.
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Response: (27- 4/3 pi) r^3
Step-by-step clarification: 1. The volume of a cube is defined as V= a^3, V= 3^3, and thus V=27
2. The volume of a sphere is represented by V=4/3 pi r^3......
Answer:
B. (x + 16) + (6x − 4) = 180
Step-by-step explanation:
The Theorem of Cyclic Quadrilaterals states that in any quadrilateral located within a circle, the angles opposite to each other will sum to 180 degrees. Therefore, the conclusion can be drawn:
∠A + ∠C = 180° leading to (x + 16) + (6x - 4) = 180°
∠B + ∠D = 180° which equates to x + (2x - 16) = 180°
Possible outcomes:
Heads Heads
Heads Tails
Tails Tails
Tails Heads
Probability of matching: 2/4 = 0.5
Torin should consent since the suggestion is equitable