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finlep [7]
3 years ago
10

Which fraction is the largest?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0

Answer:

17/30

Step-by-step explanation:

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Triangle JKL is rotated 45° counterclockwise using the origin as the center of rotation. On a coordinate plane, triangle J K L h
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analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
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x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


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