We have been given that 
and angle A is in quadrant 1. We are asked to find the exact value of 
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.
This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.
Now we will find adjacent side using Pythagoras theorem as:
Let us take positive square root on both sides:
Therefore, adjacent side of angle A is 5 units.
Therefore, the exact value of cot A is 
.
15/40 x 100 = 37.5
equation for percent decrease is diiference/original x 100.
The answer is A because if we stare with (-1,3) and go up by 1x, since the slope is 2, then 3 + 2 is 5 and we have (0,5). Hope this helps!
No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.
In x th month, members = 
. Option D.
Step-by-step explanation:
Given,
Initially number of members = 3
Every month each member brought 1 new member.
To find the number of members after x months.
<u>Solution:</u>
In 1st month, members = 3
In 2nd month, members = 3×3 = 9 = 3²
In 3rd month, members = 9×9 = 81 = 
In 4th month, members = 81×81 = 81 = 6561 = 
Hence,
In x th month, members =
