Answer:
O lines and line t Intersect at Point P
The work and answer is shown in the image below. Just set the variables and solve.
Answer:
24 premium tickets were sold.
Step-by-step explanation:
Let :
Deluxe ticket = x
Regular tickets = x + 78
Premium tickets = y
x + (x + 78) + y = 208
4x + 2(x+78) + 10y = 714
2x + y = 208 - 78
4x + 2x + 156 + 10y = 714
2x + y = 130 - - - - - (1)
6x + 10y = 558 - - - - (2)
Now we can solve the simultaneous equation using elimination method :
From (1)
y = 130 - 2x
Put y = 130 - 2x in (2)
6x + 10(130 - 2x) = 558
6x + 1300 - 20x = 558
- 14x = 558 - 1300
-14x = - 742
x = 742 / 14
x = 53
Put x = 53 in y = 130 - 2x
y = 130 - 2(53)
y = 130 - 106
y = 24
1.) D = 2pi * d * A / 360 degrees; Where:
pi = 3.14;
d = distance or 56,000,000 km (5.6x10^7 to standard notation)
A = angular size in degrees or .00688 degrees (.00012 radian to degrees)
D = 2(3.14) * 56,000,000 * .00688 / 360
= 6.28 * 385,280 / 360
= 2,419,558.4 / 360
D = 6,720.996 or 6,721
Therefore, 6,721 km. is the approximate diameter of Mars.
