If x = 10, y = 5, and z = 11, what is the cosine ratio for g°?
2 answers:
Answer:
X+ 7 = 21 - 7 - 7x = 14
Step-by-step explanation:
replace x values and y values with the answer choices.
since the coordinate pair it is safe to assume that d will be the correct answer.
use the graph to confirm that the solution is (1,0)
the blue line intersects at (1,0), so the solution for the system of equations is (1,0)
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Answer:
The slope is: 3
The y-intercept is: or
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
To write the given equation in this form, we need to solve for "y":
Therefore, you can identify that the slope of this line is:
And the y-intercept is:
Answer: About 513 feet
A more accurate value is roughly 512.575960394824
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Explanation:
With many trig problems, a diagram should help steer you in the right direction. See below.
The red angle is the angle of depression. It's formed by starting off looking straight horizontal, then we look down 26 degrees. The blue angle adds to the red angle to get 90, so we can see that 26+64 = 90. Or you could say 90-26 = 64.
The goal is to find the value of x, which is the length from B (the lighthouse base) to point C (the ship's location).
The lighthouse is 250 ft tall, meaning AB = 250
We'll use angle BAC, or angle A for short, as the reference angle. This is the blue angle in the diagram.
We have a known adjacent side (AB = 250) and an unknown opposite side (BC = x). We use a tangent ratio to tie these sides together with the reference angle in question. This way we can solve for x.
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tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(64) = x/250
250*tan(64) = x
x = 250*tan(64)
x = 512.575960394824
x = 513
The distance from B to C is roughly 513 feet.
I'm rounding to the nearest whole number because the other values given to you are whole numbers.
