You use the arithmetic sequence formula and input the information given to you.
tn = a + (n-1)d
t(56) is what your looking for so don't worry about the tn.
a is your first term,
a = 15.
n is the position of the term you are looking for, n = 56.
And d is the common difference, you find this by taking t2 and subtracting t1. t2=18 and t1=15.
d = 18 - 15 = 3
Inputting it all into the formula you get,
t(56) = 15 + (56-1)(3)
term 56 = 180.
You use this formula to find any term in a sequence provided you are given enough info. You can also manipulate it if you are asked to find something else like the first term(a), common difference(d) or term position(n). It just depends on what the question is asking and what information you are given. :)
Hope this helps!
Answer:
Step-by-step explanation:
Remark
The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.
The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.
Solution
Sin(8) = 1817 / x Multiply both sides by x
x*sin(8) = 1817 Divide by sin(8)
x = 1817/sin(8)
sin(8) = 0.1392
x = 1817/0.1392
x = 13055.7
Note
Watch how you do this. I would put it into your calculator as
1817
÷
sin(8)
=
If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).
Answer:
LQ = 5
Median = 6
Step-by-step explanation:
gives us 5.5, so we do the average of position 5 and 6. This gives us 6, so the median is 6.
Now we find the median of the bottom half of the numbers, which is 5, so the LQ is 5.
Now we find the median of the upper half of the numbers, which is 7, so the UQ is 7.
Answer - C - SSS because you know no angle measures