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murzikaleks [220]
3 years ago
11

Write six times ten to the second power into a decimal

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
0.600. If I'm wrong please tell me so I can correct my answer and recalculate it. 
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Answer: Using the proportion beteween the sides of the similar triangles, the distance between the endpoints of the beams P and Q is 3.2 inches.

Option a. 3.2 inches


Solution

PR=3.7 inches; CR=5.6 inches; AC=4.9 inches

As the two triangles QRP and ARC are similar, their sides must be proportionals, then:

PQ/AC=PR/CR=QR/AR

Replacing the given values in the proportion above:

PQ/(4.9 inches)=(3.7 inches)/(5.6 inches)=QR/AR

PQ/(4.9 inches)=3.7/5.6

Solving for PQ: Multiplying both sides of the equation by 4.9 inches:

(4.9 inches)[PQ/(4.9 inches)]=(4.9 inches)(3.7/5.6)

PQ=(4.9)(3.7)/5.6 inches

PQ=18.13/5.6 inches

PQ=3.2375 inches

Rounding to one decimal place:

PQ=3.2 inches


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