The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.
<h3>How to calculate the volume of a pyramid?</h3>
Mathematically, the volume of a pyramid can be calculated by using this formula:
Volume = 1/3 × b × h
<u>Where:</u>
Since both pyramids have the same base area as the prism, their combined volume is given by:
Combined volume = (1/3 × b × h) + (1/3 × b × h)
Combined volume = 2/3 × b × h
Also, the volume of this prism = 1/2 × b × h
Thus, the ratio is given by:
Ratio = (2/3 × b × h)/(1/2 × b × h)
Ratio = 2/3 × 1/2
Ratio = 1/3.
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Answer:
82.8
Step-by-step explanation:
Answer:
C.) 7√2/2
Step-by-step explanation:
tan¤ = opp/adj
tan 45° = y/7√2/2
1 = y/7√2/2
1 = 2y/7√2
7√2 = 2y
2y = 7√2
y = 7√2/2
<u>NOTE:</u><u> </u>¤ = Theta
Answer:
x = 142
Step-by-step explanation:
The problem;

Inverse operations;

Now undo the square, by squaring both sides;

Inverse oeprations;
x + 2 = 144
-2 -2
x = 142