The right side of the orchestra section of the Nederlander Theater in New York City has 19 rows, and the last row has 27 seats.
2 answers:
Answer:
342 seats
Step-by-step explanation:
Given : Theater has 19 rows and the last row has 27 seats. The number of seats in each row increases by 1 as you move toward the back of the section.
To Find: How many seats are in this section of the theater.
Solution:
Since we are given that each row increases by 1 seat
So, we can use arithmetic progression
So, d = 1
No. of rows n = 19
The last row i.e. row 19 has 27 seats
nth term of A.P. =
a is the first term
Substitute n = 19
So,
Since row 19 has 27 seats
So,
Now we are supposed to find the number of seats in the theater.
So, Sum of first n terms in A.P. =
Substitute n =19
Hence there are 342 seats in the theater.
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Answer:
Please see attached image and all steps below for both parts
Step-by-step explanation:
Task 1
The following system of equations includes a linear equation and a quadratic one:
it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:
and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]
There are two solutions: x = 0 and x = 9.
When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.
Task 2
Part 1:
Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10
So we can use:
to calculate its square.
Part 2:
let's choose a=9 and b=10 so we use:
Just remember that in the form of , you get
.