Given:
1st term = 11
common difference = 6
f(x) = 11 + 6(x - 1)
f(18) = 11 + 6(18-1)
f(18) = 11 + 6(17)
f(18) = 11 + 102
f(18) = 113 number of seats in row 18.
Row
<span>
<span>
</span><span><span>
1 11 11
</span><span>2 11 6 17
</span>
<span>
3 17 6
23
</span>
<span>
4 23 6 29
</span>
<span>
5 29 6 35
</span>
<span>
6 35 6
41
</span>
<span>
7 41 6 47
</span>
<span>
8 47 6 53
</span>
<span>
9 53 6 59
</span>
<span>
10 59 6
65
</span>
<span>
11 65 6 71
</span>
<span>
12 71 6
77
</span>
<span>
13 77 6
83
</span>
<span>
14 83 6
89
</span>
<span>
15 89 6 95
</span>
<span>
16 95 6
101
</span>
<span>
17 101
6
107
</span>
<span>
18 107
6 113
</span></span></span>
- 3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
- 10x + 20 = 180 [combine like terms]
- 10x = 160 [subtract 20 from both sides]
- x = 16 [divide both sides by 10]
Arc AB measures 3(16) = 48 degrees.
Arc BC measures 2(16) + 5 = 41 degrees.
Hope it helps you !!!!!!! And if you want the step I will show you
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet