Number two anyone..?
1 answer:
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Answer:
cos ∅ = 80/89
Step-by-step explanation:
As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .
Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.
The question requested us to find the ratio that represent the cosine of ∠U.
The ∠U is represented as ∅ .
Therefore,
cos ∅ = adjacent/hypotenuse
adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.
hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.
cos ∅ = adjacent/hypotenuse
cos ∅ = 80/89
You first have to find the slope using the slope formula. That looks like this with our values: 
. So the slope is -1/8. Use one of the points to first write the equation in y = mx + b form. We have an x and a y to use from one of the points and we also have the slope we just found. Filling in accordingly to solve for b gives us 
and 
. Adding 5/8 to both sides and getting a common denominator gives us that 
. Writing our slope-intercept form we have 
. Standard form for a line is Ax + By = C...no fractions allowed. So let's get rid of that 8 by multiplying each term by 8 to get 8y = -x - 11. Add x to both sides to get it into the correct form: x + 8y = -11