Answer:
Twelve tickets cost $30.00
Step-by-step explanation:
<h3>Given:</h3>
<h3>To find:</h3>
<h3>Solution:</h3>
We can divide the given shape into a triangle and a rectangle.
We'll have to use Pythagoras Theorem.

In this question we have to find the hypotenuse so we'll have to add.
Let's substitute the values according to the formula.




Now, we can find the value of "x"
- Adjacent= 7 cm
- Opposite= 6 cm
- Hypotenuse= 9.22 cm
We can use any one from SOHCAHTOA.
Here I'm using tan.

Let's substitute the values according to the formula.

We'll have to use tan inverse.


Answer:
The time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Step-by-step explanation:
Given the equation
-----------Equation 1
where d, in inches of the pendulum of a grandfather clock from the center.
Comparing with the standard equation of an oscillating pendulum bob.
----------Equation 2
where ω = angular velocity
t = time taken
α = The angular displacement when t = 0
Comparing equation 1 and 2,
α = 0

Recall that
[/tex]
f = 0.8 Hertz
Recall that 

T = 1.25 seconds
Therefore, the time it takes for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.
Let x be the number of hours she jogs, and y be the number of hours she bikes.
The total time would then be x + y = 5
The total distance (based on the given speeds) would be 6x + 12y = 50
Multiply the first equation by 6 to get 6x + 6y = 30
Subtract this from the second equation to get 6y = 20
y = 10/3 or 3 1/3
Substitute this value back into the first equation to get x = 5/3 or 1 2/3
Therefore, Yolanda will have to jog 1 2/3 hours and bike 3 1/3 hours.