In ΔFGH, the measure of ∠H=90°, GF = 41, HG = 40, and FH = 9. What ratio represents the cosine of ∠F?

Cosine F = (40 / 41)

Step-by-step explanation:

Since it's a right angle triangle, we can use

SOHCAHTOA method.

Where CAH = cosine F = adjacent / hypotenus.

Opposite (FH) = 9

Adjacent (HG) = 40

Hypothenus(FG) = 41

Cosine F = adjacent / hypothenus

Cosine F = 40 / 41

Cosine F = 0.9756

F = cos⁻(0.9756)

F = 12.68°

See attached document for better illustration on the triangle.

bottom left

step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )