Which table best represents the graph of the equation theta=45 degrees?
a. theta- 45 degrees, 45 degrees, 45 degrees, 45 degrees
r- 1 , 2 , 3 , 4
b. theta- 45 degrees, 90 degrees, 135 degrees, 180 degrees
r- 1 , 2 , 3 , 4
c. theta- 45 degrees, 45 degrees, 45 degrees, 45 degrees
r- 1 , 1 , 1 , 1
d. theta- 45 degrees, 47 degrees, 50 degrees, 54 degrees
r- 1 , 2 , 3 , 4
I think that the answer is A.
When the equation is just theta__° that means it's a straight line. It's like graphing x=1 and y=1 there are no variables so the answer is A
*Answer is A*
To determine which table best represents the equation theta = 45 degrees, we need to compare the values of theta in each table.
Let's analyze each option:
a. Theta - 45 degrees, 45 degrees, 45 degrees, 45 degrees
r - 1 , 2 , 3 , 4
In this table, theta remains constant at 45 degrees for all values of r. This matches the equation theta = 45 degrees.
b. Theta - 45 degrees, 90 degrees, 135 degrees, 180 degrees
r - 1 , 2 , 3 , 4
In this table, theta increases with each increment of r. The values of theta are not constant at 45 degrees, so this does not match the equation theta = 45 degrees.
c. Theta - 45 degrees, 45 degrees, 45 degrees, 45 degrees
r - 1 , 1 , 1 , 1
In this table, theta remains constant at 45 degrees for all values of r, just like in option a. However, the values of r are not increasing in this table, which suggests option a is a better fit for the equation.
d. Theta - 45 degrees, 47 degrees, 50 degrees, 54 degrees
r - 1 , 2 , 3 , 4
In this table, theta is increasing with each increment of r. The values of theta are not constant at 45 degrees, so this does not match the equation theta = 45 degrees.
Based on our analysis, option a is the best fit for the equation theta = 45 degrees.
To determine which table best represents the graph of the equation theta = 45 degrees, we need to make sure that the values in the theta column match the value 45 degrees for all the corresponding rows.
Looking at the options:
a. theta - 45 degrees, 45 degrees, 45 degrees, 45 degrees
r - 1 , 2 , 3 , 4
In this table, all the values in the theta column are 45 degrees, so it seems to be a good match.
b. theta - 45 degrees, 90 degrees, 135 degrees, 180 degrees
r - 1 , 2 , 3 , 4
In this table, the values in the theta column are not constant. Only the first value matches 45 degrees, so it does not represent theta = 45 degrees.
c. theta - 45 degrees, 45 degrees, 45 degrees, 45 degrees
r - 1 , 1 , 1 , 1
In this table, all the values in the theta column are 45 degrees, but the values in the r column are not sequential. The r values should increase by 1 for each row, so it does not represent theta = 45 degrees.
d. theta - 45 degrees, 47 degrees, 50 degrees, 54 degrees
r - 1 , 2 , 3 , 4
In this table, the values in the theta column are not constant and do not match 45 degrees. It does not represent theta = 45 degrees.
Based on the analysis above, the correct answer is indeed option A.