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Alborosie
3 years ago
5

What is the total surface of the pyramid in square centimeters? A: 17.5 B:70 C:140 D:35

Mathematics
1 answer:
Airida [17]3 years ago
4 0

Answer:

C:140

Step-by-step explanation:

because 7 x 5 in the tiangle.

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Triangle in space with vertices P= (1, 0, 0), Q = (0,1,0), R=(0, 0, 2), find angle at P P=​
vagabundo [1.1K]

Answer:

  71.6°

Step-by-step explanation:

The angle can be found from the dot product of PQ and PR.

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  = ((0, 1, 0) -(1, 0, 0))·((0, 0, 2) -(1, 0, 0))/(|Q -P|×|R -P|)

  = (-1, 1, 0)·(-1, 0, 2)/(√(((-1)² +1²)((-1²) +2²)) = (1+0+0)/√10

  α = arccos(1/√10) ≈ 71.6°

The angle at P is about 71.6°.

_____

<em>Additional comment</em>

The side lengths of the triangle are √2, √5, √5. As we have seen, the angle at P is bounded by the sides of length √2 and √5. The law of cosines can also be used to arrive at the angle between these sides.

4 0
2 years ago
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