Answers:
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 :)
<h2>
Answer</h2>
Distributive Property
The distributive property states that when a factor is multiplied by the sum of two numbers, you can multiply each of the two numbers by that factor and then add them.
<h2>Example</h2><h3>Equation </h3>
10(x + 2) = 45
Apply the distributive property to the left side of the equation by multiplying
two numbers inside the parentheses by 10
10(x) + 10(2) = 45
Now add them
10x + 20 = 45
Rearrange the like terms
10x = 45 -20
10x = 25
x = 25/10
x = 2.5
The discriminant of the equation
is 76.
I hope that helps.
Answer: 2?
Step-by-step explanation:
