If cot x° = three fourths, what is the value of b? Triangle LMN in which angle M measures 90 degrees, angle L measures x degrees, LM measures 10.5 units, and NM measures 2b units b = 4 b = 5 b = 6 b = 7

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Nitroid444 Nitroid444 · Answer 1 · 2021-02-07T00:36:54+01:00

Answer:

The answer would be b=7.

Step-by-step explanation:

The reason for this is that cot x = 3/4. That means tan x = 4/3. In tangent 4/3 is opposite/adjacent. So 4 is opposite and 3 is adjacent.

The picture is below if you needed it.

The answer is not 4 though because we need to put it into ratio form. 10.5 = to the 3 and 2b is equal to the 4.

Since we understand this information we now cross multiply to get the answer.

3/10.5 = 4/2b

When you cross multiply you get 7 = b.

This is the answer. To check you can put it into the ration again.

3 divided by 4 is 0.75 as is 10.5 divided by 2(7) or 14.

This is how to answer and check the problem

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abidemiokin abidemiokin · Answer 2 · 2022-01-20T09:47:56+01:00

The value of b from the given diagram is 7.

Given the following parameters:

[tex]cot(x)=\frac{3}{4} \\tan(x)=\frac{4}{3}[/tex]

From the given diagram, the opposite is 4 and the adjacent is 3

Substitute the sides of the triangle:

[tex]tan(x)=\frac{2b}{10.5} \\\frac{4}{3}= \frac{2b}{10.5} \\6b=42\\b =\frac{42}{6}\\b=7[/tex]

Hence the value of b from the given diagram is 7.

Learn more on trigonometry here: https://brainly.com/question/24349828

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