Answer: 28 hours
Step-by-step explanation:
Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).
Cost without membership= 12h
With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)
Cost with membership = 50 +12 (0.85) h
If both cost are equal:
50 +12 (0.85) h = 12 h
Solving for h
50+10.2h =12h
50= 12h-10.2h
50= 1.8h
50/1.8= h
27.78 =h
h =28 (rounded)
Answer:
graph attached
Step-by-step explanation:
A graph is a pictorial representation that represent the relationship between two or more things.
Cosine function is periodic with period 
. If the point 
lies on the graph, point 
will also lie on the graph where k is any integer.
Here,
![cos(x-\pi )=cos[-(\pi -x)]=cos(\pi -x)=-cos x](https://tex.z-dn.net/?f=cos%28x-%5Cpi%20%29%3Dcos%5B-%28%5Cpi%20-x%29%5D%3Dcos%28%5Cpi%20-x%29%3D-cos%20x)
The total number of points scored on the test woukd be 200. the independent variable would be x, or the number of questions answered correctly. the dependent would be the points scored because the points scored depends on how good you did on the test.
When a shape is rotated, it must be rotated over a line.
<em>The square must be reflected over line </em>
<em>, for it to be mapped onto itself.</em>
<em />
<u>The points are given as:</u>
To map the square onto itself, it must be reflected over its diagonal
The diagonals of the square are: AC and BD
<u>Using AC, we have:</u>
---- 
---- 
Start by calculating the slope (m)
So, we have:
The equation is then calculated as:
This gives:
Rewrite as:
So, the square must be reflected over line , for it to be mapped onto itself.
See attachment for square ABCD and its line of reflection.
Read more about reflections at:
brainly.com/question/1878272
