Hello there! Thank you for asking your question here at Brainly. I will be assisting you today with answering this problem, and will be teaching you how to deal with it on your own in the future.
First, let's take a look at our question, and evaluate it.
"The area of a rectangular patio is 5 5/8 square yards, and it's length is 1 1/2 yards. What is the patio's width in yards?"
To clarify this problem, we are looking for the patio's width.
Let's first understand what the area of a rectangular shape is.
The formula for the area of a rectangle is "Length times Width", or "L • W".
So this is how the equation should look like:
A = L • W
We have our area, 5 5/8, and we have our length, 1 1/2.
To make things more simple, let's convert our fractions to decimals. Now, to convert our fractions to decimals, let's set our denominators (the numbers on the bottom of a fraction) equal to another fraction, with x as the numerator (the numbers on the top of a fraction) and 100 as the denominator.
So we have 1/2 and x/100. Divide 100 by 2 to find x (as 1/2 of anything is dividing by 2).
100 / 2 = 50, so 1 1/2 = 1.50 as a decimal.
Now, let's try 5/8.
1/8 = 0.125, so multiply 0.125 by 5.
0.125 • 5 = 0.625.
5 5/8 = 5.625 as a decimal.
So, now we have our equation:
A = L • W
Plug in our numbers.
5.625 = 1.50x
To isolate and solve for x, we need to divide both sides by 1.50, so let's do that.
5.625 / 1.50 = 3.75
1.50x / 1.50 = x
We are now left with:
x = 3.75
Your answer is:
The patio's width is 3.75 yards.
I hope this helps!
The next three terms are: 1/6 , 0 and -1/6
Step-by-step explanation:
Given sequence is:

First of all, we have to find the common difference

The common difference is -1/6
We can simply add -1/6 to the previous term to find the next terms so,
Adding -1/6 to 1/3

Hence,
The next three terms are: 1/6 , 0 and -1/6
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
<u>The correct answer is A. x = 6 + 3 √10</u>
Step-by-step explanation:
Let's solve for x:
x² - 12x + 36 = 90
Factoring this quadratic equation, we have:
(x - 6) (x - 6) = 90
(x - 6)² = 90
x - 6 = √90 (Square root to both sides of the equation)
x = 6 + √90 (Adding 6 to both sides of the equation)
x = 6 + √9 * 10
x = 6 + √3² * 10
x = 6 + 3 √10
<u>The correct answer is A. x = 6 + 3 √10</u>
As x increases without bound, f(x) also increases without bound
Answer:
No,
Step-by-step explanation:
No, it's irrational.
Because, it is a non-terminating non recurring type number.