You need to create a right triangle and use a^2+b^2=c^2 to find the hypotenuse
Answer:
The value of x = √6/2
Step-by-step explanation:
Given
The hypotenuse of triangle = √2
Ф = 30°
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 30°
Adjacent to 30° = x
hypotenuse = √2
so substituting
cos Ф = adjacent / hypotenuse
cos 30° = x / √2
x = √2 × cos 30°
x = √2 × √3 / 2
x = √6/2
Therefore, the value of x = √6/2
Answer:
Step-by-step explanation:
-12 = 4p
-12/4 = p
-3 = p
Before you do the steps, change the fractions given to improper fractions:
2 2/3 = 8/3
3 1/6 = 19/6
Now, I think the first step they want you to write is:
8/3 (divided by) 19/6
When you divide two fractions, it's the same as multiplying the first fraction by the reciprocal of the second fraction. (A reciprocal is a fancy way of saying you flip the fraction)
So the next step will look like this:
8/3 x 6/19
With this setup, you can cross simplify the fractions so that they look like this:
8/1 x 2/19
When you multiply this, you get 16/19
Let me know if you have any questions!