If it is 50 pages in an hour, half an hour would be 25 pages, and if it is 40 pages in an hour it would be 20 pages in half an hour, the answer is 5 pages more in half hour
Answer:
B
Step-by-step explanation:
Angle 4 × Angle 3 = 90
Complementary angles
11x + 4x = 90
15x = 90
x = 6
Angle 3 = 4x = 4(6) = 24°
The area of the shaded region can be found by subtracting the area of the inside rectangle from the outside rectangle
area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x
so the area of the shaded region is 60y-15x
the GCF is 15, so the factored form is: 15(4y-x)
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.
