Answer:
The angle
measures approximately 
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

Then, for our case we get a starting equation that reads:

and for which we need to solve for
. Then we use the arctangent function to get the final answer:

Answer:
17
Step-by-step explanation:
The computation of the number of elements are in (A ∩ B) is shown below;
Given that
Set A contains 35 elements
And, set B contains 22 elements
Now if there are 40 elements in (A ∪ B)
So, the number of elements are in (A ∩ B) is
= 35 + 22 - 40
= 17
Answer:
125
Step-by-step explanation:
Answer:
(x -2)^2 + (y-6)^2 = 16
Step-by-step explanation:
The equation of a circle is of the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- 2)^2 + (y-6)^2 = 4^2
(x -2)^2 + (y-6)^2 = 16
Any number that you can completely write down on paper using digits ... and a fraction bar or decimal point if necessary ... is a rational number. If you add it to 0.5, then the sum is another rational number.