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2 years ago

Find COS

Mathematics

1 answer:

ehidna [41]2 years ago

6 0

$\frac{9}{41}$

Step-by-step explanation:

The ratio cosine tell us that

In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.

In other words,

$\cos(x) = \frac{adj}{hyp}$

The side adjacent to angle a is 9. The hypotenuse is 41.

$\cos(a) = \frac{9}{41}$

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Find the slope given the points (-5,-3) and (2,4)

Setler79 [48]

Answer:

The slope of the line is 1.

Step-by-step explanation:

We are given two coordinate points:

(-5, -3)
(2, 4)

We can use the rate of change formula to find the slope of the points.

$\displaystyle \frac{\triangle y}{\triangle x}$

In mathematics, coordinate pairs are labeled as:

$(x_1, y_1) \ \text{and} \ (x_2, y_2)$

Therefore, we can relabel our points:

$x_1 = -5$
$y_1 = -3$
$x_2 = 2$
$y_2 = 4$

After we do this, we can expand the rate of change formula:

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Now, we can use simple substitution to solve for m, or the slope.

$\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1$

Therefore, the slope of the line is 1.

8 0

2 years ago

Read 2 more answers

5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

The number is 296.

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.