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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

1 answer:

Alborosie3 years ago

7 0

Answer: $tan(V)=2.92$

Step-by-step explanation:

For this exercise you need to remember the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You must observe the figure given in the exercise.

You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).

So, you can identify in the figure that:

$\alpha =V\\\\opposite=UW=35\\\\adjacent=VW=12$

Knowing these values, you can substitute them into $tan\alpha =\frac{opposite}{adjacent}$ :

$tan(V)=\frac{35}{12}$

Now you must evaluate:

$tan(V)=2.916$

Finally, rounding to the nearest hundreth, you get:

$tan(V)=2.92$

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What is the sum of the first 51 consecutive odd positive integers?

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We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

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Where:
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$a_{2} = 3$
$a_{3} = 5$
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Then:

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