Note: Consider we need to find the factor form of the given expression by taking out the GCF.
Given:
The expression is:
To find:
The factor form of the given expression.
Solution:
We have,
It can be written as:
Taking out the greatest common factor (GCF), we get
Therefore, the factor form of the given expression is 
.
Answer:
Rate = 4.5
Step-by-step explanation:
It is given that,
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.
We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :
So, the unit rate of flour to sugar for the cookie recipe is 4.5
We will see that the solution in the given interval is: x = 0.349 radians.
<h3>How to solve equations with the variable in the argument of a cosine?</h3>
We want to solve:
cos(3*x) = 1/2
Here we must use the inverse cosine function, Acos(x). Remember that:
cos(Acos(x)) = Acos(cos(x)) = x.
If we apply that in both sides, we get:
Acos( cos(3x) ) = Acos(1/2)
3*x = Acos(1/2)
x = Acos(1/2)/3 = 0.349
So x is equal to 0.349 radians, which belongs to the given interval.
If you want to learn more about trigonometry, you can read:
brainly.com/question/8120556
Answer: 1.4
Step-by-step explanation:
To calculate the grade point average you have to sum all the points of each course multiplying the hours and then diveded by the total number of hours she did.
She earned a grade B in her 4 hour topology course, so she has 3*4 points.
In her 11 hour gouvernment course, she earned a grade D, so she has 1*11 points. In the 2 hour biology course she earned a grade D, so she has 1*2 points and in her 3 hours studio art course she had also a grade D, so she has 1*3 points
She has done 3+2+11+4 hours of subjects=20.
The total average is (3*4+1*11+1*2+1*3)/20=28/20=1.4
If they won 55 of the games, that means they lost the rest of the 75. So,
75 - 55 = 20 games lost. To find the percentage of 20 out of 75, you set up a proportion:
where x = the percentage of games lost. Cross multiply and divide to isolate the x:
Rounded to the nearest hundredth, the Royals lost 26.667 % of their games.
