Let the number of matinee tickets they bought be t, the number of drinks bought be d and the number of popcorn bags bought be p, then the amount the spend on the number of drinks and bags of popcorn they bought is given by
.
The coefficients in the expression are 5.5 and 6 while the constant is 13 and the variables are d and p.
to find the vertical height
multiply the tangent of the angle by the horizontal distance
so tan(12) x 5 = 1.0628
rounded to nearest hundredth = 1.06 miles
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
<h2>true</h2>
I did it on my calculater and the answer came as 13
hope that helps :)