9514 1404 393
Answer:
Step-by-step explanation:
Let a and s represent the prices of adult and student tickets, respectively.
13a +12s = 211 . . . . . . ticket sales the first day
5a +3s = 65 . . . . . . . ticket sales the second day
Subtracting the first equation from 4 times the second gives ...
4(5a +3s) -(13a +12s) = 4(65) -(211)
7a = 49 . . . . . . . simplify
a = 7 . . . . . . . divide by 7
5(7) +3s = 65 . . . . substitute into the second equation
3s = 30 . . . . . . . subtract 35
s = 10 . . . . . . . divide by 3
The price of one adult ticket is $7; the price of one student ticket is $10.
Step-by-step explanation:
∠A + ∠B + ∠C = 180°
Here the value of ∠B and C is given below...we need to find the value of ∠A ....
a + 120° + 40° = 180°
a + 160° = 180°
a = 160° - 180°
a = 20°
Answer:
A. 
B. 
C. 
Step-by-step explanation:
For A pick a fraction that is less than a whole number.
For B pick a fraction that is a whole number.
For C pick a fraction that is greater than a whole number.
Answer:
11.8cm²
Step-by-step explanation:
The area of the regular pentagon is expressed as;
A = pa/2
p is the perimeter of the pentagon
a is the apothem
Since p = 5s
s is the side length, hence;
A = 5sa/2
Get the side length s;
central angle = 360/5
central angle = 72degrees
angle in the right angle triangle =72/2 = 36degrees
Using SOH CAH TOA
sin 36 = x/2
x = 2sin36
x = 1.1755
s = 2x
s = 2.35cm
Get the area
A = 5(2.35)(2)/2
A = 5(2.35)
A = 11.8cm²
Hence the area of the regular pentagon is 11.8cm²
Add 11 and 7
11 + 7
18
Mulitply 1/3 and 18
1/3 * 18
6
1/3 the sum of 7 and 11 is 6.
