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3 years ago

N/6+2=-8 how do i solve this problem?

2 answers:

8 0

First, subtract 2 from both sides to isolate the variable and you get n/6=-10. Then, since the variable is in a fraction which also means it is being divided, you undo it with multiplication, so multiply both sides by 6 to get n=-60

steposvetlana [31]3 years ago

7 0

N/6+2 = -8

N/6+2-2 = -8-2

N/6 = -10

N/6*6 = -10*6

N = -60

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Find the value of tan F rounded to the nearest hundredth , if necessary

spin [16.1K]

Using it's formula, it is found that the tangent of F is given by:

$\tan{F} = \frac{6\sqrt{85}}{85}$

<h3>How to find the tangent of an angle?</h3>

In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.

Researching the problem in the internet, it is found that for the <em>right triangle</em> in this problem:

The length of the opposite leg to angle F is of 6.

The length of the adjacent leg to angle F is of x.

The length of the hypotenuse is of 11.

Applying the Pythagorean Theorem, we have that:

$6^2 + x^2 = 11^2$

$36 + x^2 = 121$

$x^2 = 85$

$x = \sqrt{85}$

Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:

$\tan{F} = \frac{6}{\sqrt{85}} \times \frac{\sqrt{85}}{\sqrt{85}} = \frac{6\sqrt{85}}{85}$

To learn more about tangent, you can take a look at brainly.com/question/24680641

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