Answer:
1806 seats.
Step-by-step explanation:
From the question given above, the following data were obtained:
Row 1 = 24 seats
Row 2 = 27 seats
Row 3 = 30 seats
Total roll = 28
Total number of seat =?
From the above data, we can liken the roll to be in arithmetic progress.
Also, we are asked to determine the total number of seats in the theater.
Thus the sum of the sequence can be written as:
Roll 1 + Roll 2 + Roll 3 +... + Roll 28 i.e
24 + 27 + 30 +...
Thus, we can obtain obtained the total number of seats in the theater by applying the sum of arithmetic progress formula. This can be obtained as follow:
First term (a) = 24
Common difference (d) = 2nd term – 1st term
Common difference (d) = 27 – 24 = 3
Number of term (n) = 28
Sum of the 28th term (S₂₈) =?
Sₙ = n/2 [2a + (n –1)d]
S₂₈ = 28/2 [2×24 + (28 –1)3]
S₂₈ = 14 [48 + 27×3]
S₂₈ = 14 [48 + 81]
S₂₈ = 14 [129]
S₂₈ = 1806
Thus, the number of seats in the theater is 1806.
Answer:
A
Step-by-step explanation:
given 2 secants drawn from an external point to the circle , then
the product of the measures of one secant's external part and that entire secant is equal to the product of the other secant's external part and that entire secant, that is
9(9 + 2 + 3x) = 10(10 + 2x + 2)
9(11 + 3x) = 10(12 + 2x) ← distribute parenthesis on both sides
99 + 27x = 120 + 20x ( subtract 20x from both sides )
99 + 7x = 120 ( subtract 99 from both sides )
7x = 21 ( divide both sides by 7 )
x = 3
<u>Answer:</u>
The correct answer option is B. Construct the perpendicular bisector of each side of the triangle.
<u>Step-by-step explanation:</u>
We are given that a student wants to construct a circumscribed circle of a triangle and we are to determine whether which of the given answer options is the first step he should take.
The student needs to first construct the perpendicular bisector of each side of the triangle.
The perpendicular bisectors of each side of the triangle are constructed such that they meet at the center of the circumbscribed circle.
Answer:
(2g^2h^3)^(2g^2h^3) OR 4gg^4hh^9
Step-by-step explanation:
First of all, you have to rank the numbers from the lowest to the hightest. I let you to do it.
There are 10 numbers.
So, 0.25*10 = 2.5.
In that case, the 1st quartile would be the third number "17".
Hope this helps !
Photon
