What is the value of cos theta in the diagram below?

The value of cos theta in the diagram below is:

0.6=3/5

Step-by-step explanation:

We are asked to find the value of cos theta with the help of the given figure.

We know that the cos theta is also defined as a ratio of the base to the hypotenuse of the right triangle that is formed by enclosing that angle theta.

i.e. in the given triangle we have:

The base of the right triangle with respect to angle theta is:AC=0.6 units.

Also, hypotenuse of the right triangle is: AB=1 units.

Hence,the value of cos theta is:

Hence, the value of cos theta is:

0.6=3/5

step-by-step explanation:

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b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b