Answer:
The angle: 
The supplement: 
Step-by-step explanation:
By definition, if the sum of two angles is 180 degrees, then this angles are called "Supplementary Angles".
Let be:
the angle (in degrees) and 
its suppplement (in degrees).
Therefore, you can write the following equation in order to find the angle and its supplement:
Now, you must solve for "x". Then:
Then:
The equation y = 3(1.12)^x will double after 6 years.
In order to find this, we need to test all of the numbers in the parenthesis to the 6th power and see which comes closest to 2. We know that after 0 years, each equation will simply have the value of the number outside of the parenthesis, so we need the number inside to be 2 in order to get it to double. The following are each number in the parenthesis raised to the 6th power.
1.50^6 = 11.39
1.17^6 = 2.57
1.06^6 = 1.42
1.12^6 = 1.97
Since the one with 1.12^6 is closest to 2, it is the one that nearly doubles after six years.
First lets find -8.2 x 10 = -82 know we find 82^5 which is 82*82*82*82*82
-82*-82=6724 and then 6724*-82= -551368 and then -551368*-82 =45212176 and then 45212176*-82= -3707398432 and finally -3707398432 is our answer i checked the calc to after i did the hard math that took me forever i had some help from the calc and i got this hopefully this helps
Use the Law of Sines and set up the equation sin A/side a = sin B/side b. So you have sin 38/41 = sin B/54. Cross-multiply to get 54 sin 38 = 41 sin B. Make sure your calculator is in degree mode and the left side comes out to be 33.246. Now divide both sides by 41 to get an equation of .8109=sin B. Use the inverse sin function on your calculator to get that sin^-1(.8109) = 54.18 degrees
Either its 14 and 3 4ths or 59 4ths. its depends on what fractions it wants it in. hope this makes sense!
