This means that we will plug 3 into our x values.
Our rule is 5x.
This means that:
5(3)
This means our final answer will be 15.
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 :)
Answer:
see below
Step-by-step explanation:
We can determine how much 12 ounces cost by using ratios
5 ounces 12 ounces
-------------- = -------------------
2.35 x
Using cross products
5x = 12*2.35
5x = 28.2
Divide each side by 5
5x/5 = 28.2/5
x =5.64
If she has 10 dollars
5 ounces y ounces
-------------- = -------------------
2.35 10
5*10 = 2.35y
50 = 2.35y
Divide each side by 2.35
50/2.35 = 2.35y/2.35
21.27659574 =y
She can buy 21.3 ounces
