Answer:
35cm
Step-by-step explanation:
The net of a regular pentagon has 10 sides.
Since each of the faces are equilateral triangles, the side lengths are equal.
Therefore:
Length of each side of the net = 70/10 =7cm
Therefore, the base is a regular pentagon of side length 7cm.
The perimeter of the base of the pyramid = 5 X 7
=35cm
The perimeter of the base of the pyramid is 35cm.
Answer:
-11.25
Step-by-step explanation:
Answer:
The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.
Step-by-step explanation:
Let s = the cost of senior citizen tickets
Let c = the cost of child tickets
The number of tickets sold for each type added together equals the sales for each day. Equations below:
Day 1
3s + 9c = $75
Solve for s:
3s = 75 - 9c
s = 25 - 3c
Day 2
8s + 5c = $67
By substitution:
8(25 - 3c) + 5c = 67
200 - 24c + 5c = 67
-19c = -133
c = -133 / -19 = $7 cost for child tickets.
Solve for s:
s = 25 - 3c
s = 25 - 3(7)
s = 25 - 21 = $4 cost for senior citizen tickets.
Proofs:
Day 1
3s + 9c = $75
3(4) + 9(7) = 75
12 + 63 = 75
75 = 75
Day 2
8s + 5c = $67
8(4) + 5(7) = 67
32 + 35 = 67
67 = 67
Sin ( theta ) = opposite / hypotenuse
sin ( 37° ) = 13 / x
