Answer:
The area is changing at 15.75 square feet per second.
Step-by-step explanation:
The triangle between the wall, the ground, and the ladder has the following dimensions:
H: is the length of the ladder (hypotenuse) = 10 ft
B: is the distance between the wall and the ladder (base) = 6 ft
L: the length of the wall (height of the triangle) =?
dB/dt = is the variation of the base of the triangle = 9 ft/s
First, we need to find the other side of the triangle:


Now, the area (A) of the triangle is:
Hence, the rate of change of the area is given by:
Therefore, the area is changing at 15.75 square feet per second.
I hope it helps you!
26*25*24*23*22*21*20*19 which is 62,990,928,000 strings.
Answer:
12) A = 27
13) B = 36
14) C = 25
15) D = 30
Step-by-step explanation:
We need to complete the ratio tables
We are given:
Footballs 15 5 20 C D
Baseballs A 9 B 45 54
The table shows the ratio of footballs to baseballs.
We are given the ratio 
All other ratios will also be simplified to get 
12) Calculate A
Footballs = 15
Baseballs = A
Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.
We know that 
So, A = 27
13) Calculate B
Footballs = 20
Baseballs = B
Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.
We know that 
So, B = 36
14) Calculate C
Footballs = C
Baseballs = 45
Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.
We know that 
So, C = 25
15) Calculate D
Footballs = D
Baseballs = 54
Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.
We know that 
So, D = 30
For this case, we observe that the triangles are similar.
We observe that the triagnules have three equal angles.
Therefore, to find the value of x we can use the following relationship:

Clearing x we have:
Answer:
The value of x is given by:
x = 6.25
So there are 4 slots and 4 options for the first slot, 3 for the second slot, and so on. There is a total of 24 options. Since you want a specific order, it's 1/24. (the option you want/total options)