Answer:
1. 42.0 meters
2. 16.8
3. 2.3
4. 24.7
5. a. 42.4 b. 10.7
6.4.01
Step-by-step explanation:
1. so by using soh cah toa: tan40 = x/50
multiply both sides by 50 : (tan40)50=x
simplify: 42.0m
2. same concept but different values: tan35=x/24
multiply 24 to both sides: (tan35)24=x
simplify : 16.8m
3. tano^-1 = 20/100
multiply both sides by tan^-1: the angle = tan^-1 (20/100)
Simplify: 2.3 degrees
4. cos o^-1 = 4.6/10
multiply both sides by cos^-1: the angle= cos^-1 (4.6/10)
simplify: 24.7
5. a. tan23= x/100
multiply 100 to both sides: x= 100(tan23)
simplify :42.4
b. you have to find the total height of the building with the antenna and then subtract the height of the building that you found in part a.
tan28=x/100
multiply 100 to both sides : (tan28)100=x
simplify 53.1
subtract the answer to part from 53.1:
53.1-42.4=10.7
2.1234492726349426935739 or any number with a really long decimal which cannot be turnt into a simple fraction
Answer:
32767 distinct color grouping
Step-by-step explanation:
Given data:
Total tube is 13
for distinct color, group can be 1,2,3,4,.... 15
For total number of ways we have following relation

here n = 13 so we have

for at least one


= 32767 distinct color grouping
<em>Greetings from Brasil...</em>
Let's add all the values on one side and make it equal to the sum of all the other values on the other side
(- X) + (- X) + (- X) + (- X) + (- X) + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = X + X + X + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1) + (- 1)
- 5X + 12 = 3X - 8
- 5X - 3X = - 8 - 12
- 8X = - 20 x(- 1)
8X = 20
X = 20/8
<h2>X = 5/2</h2>
<em>or X = 2.5</em>