Answers: sin(2∅) = 120/169, cos(2∅) = 119/169, tan(2∅) = 120/119
<h3>What are trigonometric functions?</h3>
Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.
Analysis:
If cos∅ = adjacent/hypotenuse = 12/13,
Then, opposite of the right angled triangle = 
= 5
sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12
sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169
cos(2∅) = 
∅ - 
∅ = 
- 
= 144/169 - 25/169 = 119/169
tan(2∅) = sin(2∅) / cos(2∅) = 120/169 ÷ 119/169 = 120/119
Learn more about trigonometric functions: brainly.com/question/24349828
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Range of the data = 13
Solution:
To find the range of the given data:
Let us first define what is range.
Range:
The range of the data set is the difference between the highest value and lowest value of the data set.
i. e. Range = Highest value – Lowest value
In the given number line,
Highest value indicated = 115
Lowest value indicated = 102
Range of the data = 115 – 102
= 13
Range of the data = 13
Hence the range of the given data is 13.
(B.) 41
Visualizing it by drawing out boxes with how many rows and columns of socks there are, you'll see that by fig. 5, it's going to have 41 socks.
Answer:
1. 301.6 
2. 576
3. 274.41
Step-by-step explanation:
We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and 
. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.
Then, you can find the volume of the box, because you know its dimentions are 12x12x4.
Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)
