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3 years ago

If tan b = 40/9, then sin b = ?

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

40/41

Step-by-step explanation:

Tangent is opposite over adjacent, and sine is opposite over hypotenuse. We can find hypotenuse from Pythagorean, which gets us 41 as the hypotenuse. Therefore sin b = 40/41.

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3 years ago

What is an equation of the line that passes through the points (-5,-1) and (5,3)?

Mademuasel [1]

Answer:

The equation of the line is:

$y=\frac{2}{5}x+1$

Step-by-step explanation:

Given the points

(-5, -1)

(5, 3)

Finding the slope between points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(5,\:3\right)$

$m=\frac{3-\left(-1\right)}{5-\left(-5\right)}$

$m=\frac{2}{5}$

Using the point-slope form to find the line equation

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 2/5 and the point (5, 3)

$y-3=\frac{2}{5}\left(x-5\right)$

Add 3 to both sides

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$y=\frac{2}{5}x+1$

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3 years ago

If tan b = 40/9, then sin b = ?​

If tan b = 40/9, then sin b = ?