Answer:
40 cm^2.
Step-by-step explanation:
Area = the sum of the 2 triangles
= 1/2 * 6 * 8 + 1/2 * 4 * 8
= 24 + 16
= 40 cm^2.
For this case we have to:
x: Variable that represents the number of times Henry visits the art museum.
If you pay 15 for parking and 25 for admission every time you go, we have:

Now, if you buy a membership at a net cost (it does not depend on the number of visits to the museum) of $ 110 and only pay $ 10 of parking, every time you attend the museum, we have:

Finally, the two equations that represent the situation are:

Answer:
Option A
Answer:
The theater sold a higher ratio of Senior tickets to Adult tickets on the first night.
Step-by-step explanation:
Rate of senior tickets to adult tickets:
Can also be interpreted as the percentage of senior tickets, out of the number of total tickets, which is the number of senior tickets multiplied by 100% and divided by the number of total tickets.
The first night, 19 Senior tickets and 57 Adult tickets were sold.
19 out of 19 + 57 = 76. So
19*100%/76 = 25%
The second night, 20 Senior tickets and 62 Adult tickets were sold.
20 out of 20 + 62 = 82. So
20*100%/82 = 24.39%
25% > 24.39%, so the theater sold a higher ratio of Senior tickets to Adult tickets on the first night.
see the attached figure to better understand the problem
Let
2L---------> lenght side of hexagon
we know that
in one of those triangles
sin 30=1/2
sin 30=L/hypotenuse
solve for L
L=hypotenuse*sin 30-------->L=( 1 8 √ 3 )*(1 /2)------> L=9√3 units
Find the perimeter
perimeter=(2L)*6--------> L*12-------> Perimeter=9√3*12--------->108√3 units
therefore
the answer is
the perimeter of the regular hexagon is 108√3 units