139.49
Step-by-step explanation:
using trig ratios.
tan=o/a
tan74°=n/40
40tan74°=n
use calculator to solve
=139.49
hope this helped :)
Answer: Children tickets cost 7.50
Adult tickets cost 12.50
Step-by-step explanation:
Let a represent adult tickets
Let c represent child tickets
On the first day she sells 6 adult tickets and 5 children tickets for total of 112.50. This can be written as:
6a + 5c = 112.50 ...... equation i
On the second day she sells 8 adult tickets and 4 children tickets for the total 130. This can be written as:
8a + 4c = 130 ....... equation ii
6a + 5c = 112.50 ...... equation i
8a + 4c = 130 ....... equation ii
Multiply equation i by 4
Multiply equation ii by 5
24a + 20c = 450 ........ equation iii
40a + 20c = 650 ......... equation iv
Subtract iii from iv
16a = 200
a = 200/16
a = 12.50
Adult tickets cost 12.50
From equation ii,
8a + 4c = 130
8(12.50) + 4c = 130
100 + 4c = 130
4c = 130 - 100
4c = 30
c = 30/4
c = 7.50
Children tickets cost 7.50
<span>4x^2 - 36 = 0 ( Original equation )
4x^2 = 36 ( Add 36 to both sides )
x^2 = 9 ( Divide by 4 on both sides )
x = 3 , -3 ( Take the square root of 9 )
Solution set: { +3 , -3 } answer is x = +3 , x = -3</span>
Positive correlation.
Zero is x increases y stays the same
Negative is both decrease
