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insens350 [35]
3 years ago
5

How many terms are in the expression shown below? 5u 3 v + 3u 2 v 2 + 4uv + 5

Mathematics
1 answer:
Marianna [84]3 years ago
7 0

Answer:

There are four terms of the expression 5u^3v+3u^2v^2+4uv+5.

Step-by-step explanation:

The given expression is 5u^3v+3u^2v^2+4uv+5.

The first term of this expression is 5u^3v.

The second term of this expression is 3u^2v^2.

The third term of the expression is 4uv.

The fourth term of the expression is 5.

Therefore, there are four terms in the given expression.

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see the attached figure to better understand the problem


we know that

in the right triangle ABC

cos 56°=AC/AB

where

AC is the adjacent side to angle 56 degrees------> the distance from the surveyor to the building

AB is the hypotenuse-----> 148 ft 2 in

56 degrees------> is the angle of elevation

so

cos 56°=AC/AB---------> solve for AC

AC=AB*cos 56°

AB=148 ft 2 in

convert 2 in to ft

1 ft -----> 12 in

x ft------> 2 in

x=2/12-----> x=0.17 ft

AB=148 ft 2 in-----> 148 ft+0.17 ft------> AB=148.17 ft


AC=AB*cos 56°----> AC=148.17*cos 56°------> AC=82.86 ft


convert 0.86 ft to in

0.86 ft=0.86*12-----> 10.32 in

distance AB=82 ft 10 in


the answer is

the distance from the surveyor to the building is 82 ft 10 in

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Step-by-step explanation:

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