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 
.
Answer:
1:3
Step-by-step explanation:
To find the probability of selecting a certain type of item from a collection, simply divide the number of items of that type by the total number of items.
There are 3 + 2 + 1 = 6 marbles in total. There are 2 yellow marbles, so the probability of choosing a yellow marble on the first draw is 2/6. This can be further simplified to 1:3.
To find the area, we have to use the F.O.I.L. method to solve (3x-2)*(4x-7)
-> 12x^2-21x-8x+14
= 12x^2 - 29x + 14
So the area of the rectangle would be 12x^2 - 29x + 14.
<span>Hope this helps. If you have any questions, place it in the comment section below.</span>
Answer:
the 3rd one,
Step-by-step explanation:
Because it is the 3rd one
Answer:
KL = 27
JK = 16
MK = 30
NL = 23
m∠JKL = 132°
m∠KLJ = 22°
m∠KMJ = 54°
m∠KJL = 26°
Step-by-step explanation:
The given parameters of the quadrilateral JKLM are;
JM = 27, ML = 16, JL = 46, NK = 15, KLM = 48, JKM = 78, MJL = 22
Taking the sides as parallel, we have that quadrilateral JKLM is a parallelogram
Therefore;
KL = JM = 27
JK = ML = 16
m∠KLJ = m∠MJL = 22°
MN = NK = 15
MK = MN + NK = 15 + 15 = 30
NL = JL/2 = 46/2 = 23
m∠KJM = m∠KLM = 48°
m∠KJL = m∠KLM - m∠MJL = 48° - 22° = 26°
m∠KML = m∠JKM = 78°
m∠MKL = 180° - m∠KML - m∠KLM = 180° - 78° - 48° = 54°
m∠MKL = 54°
m∠JKL = m∠JKM + m∠MKL = 78° + 54° = 132°
m∠KMJ = m∠MKL = 54°
