Answer:
relationship between base and hypotenuse is given by cos angle
let angle be ø
cos ø=b/h
cosø=28/34
ø=cos-¹(28/34)=34.5°
Step-by-step explanation:
Let a be the price of 1 adult ticket.
Let c be the price of 1 child ticket.
given,

as equation 1,
and

as equation 2.
Now we will solve for a and c using elimination method of simultaneous equations.
Now we multiply equation 2 by 2 to eliminate a and solve for c.

This new equation will be equation 3.
Now we will use equation 1 - equation 3 to eliminate a and solve for c.

Now substitute c into equation 2.

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.
Well the answer options are a bit confusing but the steps are 1, 2, & 3.
Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,



Now we have to move 4x to the left side by subtracting 4x from both sides.



To get x, we will divide both sides by 17. We will get,


So the smaller number = 
The larger number =
= 
So we have got the required numbers.
Smaller number =
and larger number =
.