Answer:
6^ (1/12)
Step-by-step explanation:
6 ^ 1/3
-------------
6 ^ 1/4
x^a / x^b = x^ (a-b)
6^(1/3-1/4)
Getting a common denominator)
6^(4/12-3/12)
6^1/12
Answer:

Step-by-step explanation:
In order to solve for this equation we have to note a couple of things.
There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.
The side length of the smaller square (4) is also the hypotenuse of this triangle.
Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.
The Pythagorean Theorem states that
, where a and b are the legs and c is the hypotenuse.
We can substitute 3 in as a and 4 in as c and find b.




So b is
units long.
Hope this helped!
Answer:
See below
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals. Line a with the equation y = 13x + 3 has slope 13. This means Line b which is perpendicular will have slope -1/13.
The equation of line b is any equation where -1/13 is the slope/
Example: y = -1/13x + 5 or y = -1/13x - 6
The sum of the interior angles of a pentagon is 540 degrees. We find the measure of the fifth angle by summing up the four angles given and subtracting this to the total sum. We calculate as follows:
Fifth angle = 540 - (40+80+115+165) = 140 degrees
Hope this answers the question.
Look at the answer down here please