Answer:
pythagoras theorem
height ladder can reach on the wall = side a or b
13 feet = hyp
5 feet = side a or b (you choose which one it is)(but the equation still works ......................................the same)
13^2-5^2 = 144
√144 = 12
First you must find what 9.5 percent of 78 is. To do so, put 9.5 percent as a decimal (.095). Next, take this (.095) decimal and multiply it by 78 (this gives you 9.5 percent of 78). You will end up with the number 7.41. Since 78 is being increased by 9.5%, add 7.41 to 78 to get the final answer of 85.41. Therefore, when 78 is increased by 9.5%, you get 85.41 as a result.
After 19 months, the cost will be same for both memberships.
Step-by-step explanation:
Given,
Sign up fee at Power Plus = $22.00
Per month fee = $34.14
Let,
x be the number of months.
P(x) = 34.14x + 22
Sign up fee at Heavy Hulk = $34.50
As they have cut the cost into half.
Sign up fee = 
Per month fee = $34.39
H(x) = 34.39 + 17.25
For same cost ;
P(x) = H(x)

Dividing both sides by 0.25

After 19 months, the cost will be same for both memberships.
Keywords: function, division
Learn more about functions at:
#LearnwithBrainly
12 Feet is the depth of the pond. I am just guessing but i think that is it.
Price of an adult ticket: $25
Price of a child's ticket is 25-0.20(25) = $20
Total cost = 2 adult tickets + 4 child tickets
= 2(25)+4(20)
= 50+80 = $130