Given:
![\cos \angle A=\dfrac{342}{1000}](https://tex.z-dn.net/?f=%5Ccos%20%5Cangle%20A%3D%5Cdfrac%7B342%7D%7B1000%7D)
To find:
The measure of angle A to the nearest degree.
Solution:
We have,
![\cos \angle A=\dfrac{342}{1000}](https://tex.z-dn.net/?f=%5Ccos%20%5Cangle%20A%3D%5Cdfrac%7B342%7D%7B1000%7D)
It can be written as
![\angle A=\cos ^{-1}\dfrac{342}{1000}](https://tex.z-dn.net/?f=%5Cangle%20A%3D%5Ccos%20%5E%7B-1%7D%5Cdfrac%7B342%7D%7B1000%7D)
![\angle A=70.00123^\circ](https://tex.z-dn.net/?f=%5Cangle%20A%3D70.00123%5E%5Ccirc)
![\angle A=70^\circ](https://tex.z-dn.net/?f=%5Cangle%20A%3D70%5E%5Ccirc)
Therefore, the measure of angle A to the nearest degree is 70 degrees.
Answer:
54.2
Step-by-step explanation:
we want to find m∠T
Recall the three main trig functions
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
we are given the side length opposite of ∠T ( SU ) and the adjacent (TU)
when dealing with the opposite and adjacent we use tan
tan = opposite / adjacent
opposite (SU) = 18 and adjacent (TU) = 13 ( let ∠T = x )
So tan(x) = 18/13
* take the inverse tan of both sides *
arctan(tan(x)) = x
acrtan (18/13) = 54.2
we're left with x = 54.2 meaning that ∠T = 54.2
Short Answer 5/216
Comment
The question really is, how many different types of throws with 4 dice will give 21? You can count them
Pattern 1
6663
Pattern 2
5556
Pattern 3 [ The hard one]
6654
Patterns 1 and 2 give 4 each.
6 6 6 3
6 6 3 6
6 3 6 6
3 6 6 6
5553 will do the same thing
Both can be found by (4/1) as a combination.
Now for 6654 That gives 12
6 6 5 4
6 6 4 5
6 5 4 6
6 5 6 4
6 4 5 6
6 4 6 5
5 6 4 6
5 6 6 4
5 4 6 6
4 5 6 6
4 6 5 6
4 6 6 5
That should total 12
The total number of ways of getting 21 with this pattern is 12
Total successes
12 + 4 + 4 = 30
What is the total number of ways you can throw 4 dice?
Total = 6 * 6 * 6 * 6 = 1296
What is the probability of success?
30 / 1296 = 5 / 216
The blue line (B)
You can count by going up 2 over 1