The ladder resting against the house forms a triangle similar to the one in the image below
To answer this question you must use Pythagorean theorem
a and b are the legs (the sides that form a perpendicular/right angle)
c is the hypotenuse (the side opposite the right angle)
In this case...
a = x
b = 8
c = 34
^^^Plug these numbers into the theorem
solve for x
+ 64 = 1156
Subtract 64 to both sides
= 1092
Take the square root of both sides
x = √1092
This can be simplified to:
2√273
or
x ≈ 33.045...
The ladder reached roughly 33.05 ft up the wall of the building
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:

Step-by-step explanation:
The base case in the recursive function are:


The recursive case is equal to:

So replace
for
:

In the new expression
is a base case so you don't have to worry for that part, but
is still the recursive case so evaluate again in 

and
are define as base cases so you replace for it's numbers:

Now return to
and replace for the new values:

So the final answer is 20
Answer:
The correct option is D.card 4
Step-by-step explanation:
Consider the provided graph.
The introductory APR is a discounted interest rate which credit card companies frequently give new customers after opening an account for a fixed number of months. Most credit cards on payments, balance transfers or both offer discounted APRs.
The graph of card 4 is showing that the interest rate in Jan to Apr was lower, after Apr the interest rate increase with different slope.
Therefore, the correct option is D.card 4
Answer:
x = 20/9
Step-by-step explanation:
We want to write out all of the mixed fractions into improper fraction form. So -2 and 1/9 becomes -19/9 and -4 and 1/3 becomes -13/3. Then we get (-19/9) - (-13/3). The two minus signs together means a positive/plus sign, so we get -19/9 + 13/3. In order to add, we want the denominator to be the same. A common denominator could be 9, so -19/9 + 13(3)/3(3) = -19/9 + 39/9 = 20/9, which is our final answer