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
The reference angle is just a variable you use to find the angle. it is basically the same but you use it to solve for theta using one of the four given equations
Answer:
Step-by-step explanation:
First, we need to add all the jellybeans together to find the chances of a specific bean per type out of all of them.
42 + 45 + 20 + 32 = 139 beans
So now we have to decide individually the probabilities of the two types
The probability of getting a purple bean is equal to
32/139 and the probability of NOT getting a red bean is equal to
97/139
So now you just add them together:
32 + 97 = 129/139
And the percentage of that would be approximately 92.81%
Answer:
(-3,10)
Step-by-step explanation:
To solve the system, graph each inequality. Then see which point is within the shaded region for the solution. Only (-3, 10) is in the purple section.
Answer:
? = 4
4 is the number missing on the right.
Step-by-step explanation:
Check out the 8 on left. It has become a 2 on the right. How did that happen?
What do you have to multiply the 2 by to get 8?
Before I answer, check out the 9 on the right. What did you have to multiply it by to get 36? The answer to that is 4 isn't it?
What about the 2. Don't you have to multiply it by 4 to get 8?
36 + 8 = 4(9 + 2) The distributive property on the right will produce the numbers on the left.
So ? = 4
