Okay so CBE is a right angle which equals 90 degrees. CBD and DBE makes up CBE which is 23 degrees is part of CBD. So subtract CBE from CBD to get DBE which is 67 degrees.
We can model this situation with an arithmetic series.
we have to find the number of all the seats, so we need to sum up the number of seats in all of the 22 rows.
1st row: 23
2nd row: 27
3rd row: 31
Notice how we are adding 4 each time.
So we have an arithmetic series with a first term of 23 and a common difference of 4.
We need to find the total number of seats. To do this, we use the formula for the sum of an arithmetic series (first n terms):
Sₙ = (n/2)(t₁ + tₙ)
where n is the term numbers, t₁ is the first term, tₙ is the nth term
We want to sum up to 22 terms, so we need to find the 22nd term
Formula for general term of an arithmetic sequence:
tₙ = t₁ + (n-1)d,
where t1 is the first term, n is the term number, d is the common difference. Since first term is 23 and common difference is 4, the general term for this situation is
tₙ = 23 + (n-1)(4)
The 22nd term, which is the 22nd row, is
t₂₂ = 23 + (22-1)(4) = 107
There are 107 seats in the 22nd row.
So we use the sum formula to find the total number of seats:
S₂₂ = (22/2)(23 + 107) = 1430 seats
Total of 1430 seats.
If all the seats are taken, then the total sale profit is
1430 * $29.99 = $42885.70
Answer:
(10*5) - 2(pi(2.5)^2)
Step-by-step explanation:
First we find the area of the rectangle. This is (10*5) since the diameter of the circles is 5 (half of 10) which means that the width of the rectangle is 5, and that the length is 10.
We then find the area of the two circles. One circle can be found using the radius (2.5)(half of the diameter, 5). This gives us pi(2.5)^2 for one circle. We multiply this by two to account for both circles. Then we subtract that from the area of the rectangle to find out how much the area of the plastic is.
This gives us (10*5) - 2(pi(2.5)^2)
Answer: TSR, RST, S
Step-by-step explanation:
Answer: C
Step-by-step explanation:
Simplified: -1.4, -0.25, -0.2, 0
I hope this helps
~Princess <3
