Answer:

Step-by-step explanation:
we would like to solve the following equation:

notice that, the fraction can be reduced therefore reduce fraction:


by trigonometric value table we obtain:

get rid of sin:

and we are done!
Answer:
Step-by-step explanation:
Equation
-5(-3x+1)=-45 If this is not correct, leave a comment please.
Solution
-5(-3x+1)=-45 Divide by -5
-5(-3x + 1)/5 = -45/-5
(-3x + 1) = 9 Remove the brackets
-3x + 1 = 9 Subtract 1 from both sides
-3x + 1 - 1 = 9 - 1 Simplify
-3x = 8 Divide by -3
-3x/-3 = 8/-3
x = -8/3
or
x = -2.66
or
x = - 2 2/3
Use pythagorean theorem for the answer.
a^2 +b^2 = c^2
side + side = hypotenuse
Now try to solve it.
Hope that helps:)
Answer: A
Step-by-step explanation:You are painting a 1/3 of a 1/4 so it's A
Answer:
A. R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.
Step-by-step explanation:
John is predicting test scores of students on the basis of their home work averages and he get the following regression equation
y=0.2 x +82.
Here, dependent variable y is the test scores and independent variable x is home averages because test scores are predicted on the basis of home work averages.
The coefficient of determination R² indicates the explained variability of dependent variable due to its linear relationship with independent variable.
We are given that correlation coefficient r= 0.82.
coefficient of determination R²=0.82²=0.6724 or 67.24%.
Thus, we can say that 67.24% of total variability in test scores is explained by its linear relationship with homework averages.
Also, we can say that, R2 = 0.6724, meaning 67.24% of the total variation in test scores can be explained by the least‑squares regression line.