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1 answer:
Answer:
B
Step-by-step explanation:
Volume of a triangular pyramid =
where b = area of base and h = height
We are already given that the height is 17in
All we need to do is find the area of the base.
The base is a triangle with a base length of 12 in and a height of 10 in
To find the area of a triangle we multiply the base length by the height then divide by 2
so area = (12 * 10 ) / 2
12 * 10 = 120
120 / 2 = 60
Hence the area of the base is 60in²
Now we plug in the values into the formula for volume of a pyramid
V = 340
Hence the answer is B
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Answer:
segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13
Step-by-step explanation:
Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).
1. Reflection over x = 1 maps vertices A, B and C as follows
- A(-3,3)→A'(5,3);
- B(1,-3)→B'(1,3);
- C(-3,-3)→C'(5,-3).
2. Dilation by a scale factor of 2 from the origin has the rule
(x,y)→(2x,2y)
So,
- A'(5,3)→A''(10,6);
- B'(1,3)→B''(2,6);
- C'(5,-3)→C''(10,-6)
See attached diagram for details
Note that
so
