Answer:
24 tickets were not sold
Step-by-step explanation:
Here, we want to get the number of unsold tickets
In each row, there are 15 seats
In the Cinema, there are 14 rows
The total number of seats is thus;
15 * 14 = 220 seats
If all the 220 seats were booked, the total amount of ticket sales would have been;
220 * 6.5 = £1430
But in this case, the amount generated is £1,274
Hence, the difference in these amounts will be;
1430 - 1274 = £156
To get the number of tickets unsold, we have to divide the amount here by the price per unit ticket
Mathematically, we have this as;
£156/£6.5 = 24
Answer:
DA = 285.7 m
Step-by-step explanation:
First we need to find the side AB in the triangle ABC, and we can do this using Pythagoras' theorem:
AB^2 = BC^2 + AC^2
AB^2 = 300^2 + 400^2
AB^2 = 25000
AB = 500 m
We can find the angle ABC with the tangent relation:
tangent(ABC) = 400/300 = 4/3
ABC = 53.13°
From triangle ABC, we have:
ABC + BCA + CAB = 180°
53.13 + 90 + CAB = 180
CAB = 36.87°
From triangle DAC, we have:
DAC + ACD + CDA = 180
36.87 + 45 + CDA = 180
CDA = 98.13°
Now to find the side of DA, we can use law of sines in triangle DAC:
DA/sin(DCA) = AC/sin(CDA)
DA/sin(45) = 400/sin(98.13)
DA = 400 * 0.7071 / 0.9899 = 285.7258 m
Rounding to nearest tenth, we have DA = 285.7 m
For starters, 700 and 600 are different
Answer:
8 / 15
Step-by-step explanation:
Sample space = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Required outcome :
Even numbers = (2, 4, 6, 8, 10, 12, 14) or 13
Total required outcomes = 8
Probability = required outcome / Total possible outcomes
P(even number or 13) = 8 / 15
Answer:
C) 2+7i is the correct answer.
Step-by-step explanation:
simplify by combining the real and imaginary parts of each expression. in this question, the variable i represents an imaginary number.
