Since BD is the perpendicular bisector of AC, then AB = BD, so:
6x = x+15
5x=15
x=3
CB = 3+15 = 18
Well the square root of 49 is 7 so anything with an absolute value over 7 would work and if it is greater than or equal to, than 7 and -7 also work :)
Given:
ML = 2.3
Angle L = 70 degrees
What we want to find:
MN = x
Use the sine rule
Make sure your calculator is in degree mode
sin(angle) = opposite/hypotenuse
sin(70) = x/2.3
2.3*sin(70) = x
x = 2.3*sin(70)
x = 2.16129302780759
x = 2.2
-------------------------------
Answer: 2.2
The answer is 4.
Explanation:
Well, let's break this into pieces.
First, let's work on the first term.
3^8 = 6,561
2^-5 = 1/2^5 = 1/32
9^0 = 1
Multiply all those together, and you get 6,561/32.
Then, if you set that fraction to the power of -2, you get 1,024/43,046,721
Now, let's take the middle term.
2^-2 = 1/4
3^3 = 27
Multiply them together to get 1/108.
Then, set the fraction to the power of 4 to get 1/136,048,896
Next, let's focus on the last term.
3^28 = 22,876,792,454,961
Finally, we have to multiply the terms together.
1,024/43,046,721 · 1/136,048,896 · 22,876,792,454,961
This equals 23,425,835,473,880,000/5,856,458,868,470,016, which can be simplified (quite nicely) to a final answer of 4.
