Answer:
its 11/6
Step-by-step explanation:
GCD of 11 and 6 is 1
Divide both the numerator and denominator by the GCD
11 ÷ 1
6 ÷ 1
Reduced fraction:
11/6
Answer:
<em>9*364 - 9*125 - 9*39 = 1,800</em>
Step-by-step explanation:
<em>Mental Calculation</em>
If we detect known patterns in the calculations, we could easily give their results without the use of calculators.
We are given the expression to evaluate:
9*364 - 9*125 - 9*39
The first thing to note is the 9 is a common factor of all terms, thus we take it out:
9*(364 - 125 - 39)
The negative numbers can be easily added
125
+ 39
------------
164
Now our expression is much easier:
9*(364 - 164)
The subtraction of 364-164 is 200, thus the result of the operations is:
9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:
9*364 - 9*125 - 9*39 = 1,800
Answer:

Step-by-step explanation:
Given


Required
Determine the formula
An exponential function is of the form:

For point 




For point 

Substitute 7 for a

Divide both sides by 7

Take 4th root of both sides
![\sqrt[4]{81} =\sqrt[4]{b^4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%5Csqrt%5B4%5D%7Bb%5E4%7D)
![\sqrt[4]{81} =b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3Db)
![b = \sqrt[4]{81}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B4%5D%7B81%7D)

Substitute 7 for a and 3 for b in 


Answer:

Step-by-step explanation:
<u>Step 1: Determine the area of the left rectangle</u>
We can tell that the total shape seems like two rectangles glued together. We can separate the left rectangle and determine the area of it and then determine the area of the right rectangle and combine them. Lets first solve the left rectangle.



<u>Step 2: Determine the area of the right rectangle</u>



<u>Step 3: Determine the total area</u>



Answer: 
Answer:
Step-by-step explanation:
Remark
The solution to this is to add the two vertically opposite arcs and take 1/2 of the result to get the intersecting angle of the chords.
Solution
<x = 1/2 (arc measure of 116 + 74)
<x = 1/2 (190)
<x = 95