Answer:
The perimeter of the garden, in meters, is 
Step-by-step explanation:
Diagonal of a square:
The diagonal of a square is found applying the Pythagorean Theorem.
The diagonal of the square is the hypothenuse, while we have two sides.
Diagonal of 12m:
This means that 
, side s. So
Factoring 72:
Factoring 72 into prime factors, we have that:
72|2
36|2
18|2
9|3
3|3
1
So
So, in simplest radical form:
Perimeter of the garden:
The perimeter of a square with side of s units is given by:
In this question, since 
The perimeter of the garden, in meters, is
Answer:
$1125
Step-by-step explanation:
To find percentage of something, we always take the percentage, convert it to decimal by dividing by 100, and then multiply that decimal with the number given.
Here, we want to find 250% of $450. First, lets convert 250% to decimal:
250/100 = 2.5
So, 250% = 2.5
Now we multiply this with $450 to find rent in Manhattan:
2.5 * 450 = $1125
That's a whooping price of $1125 in Manhattan!!
w - width
2w - length
60 - perimeter
w + w + 2w + 2w = 6w - perimeter
The equation:
6w = 60 <em>divide both sides by 6</em>
w = 10 → 2w = 2 · 10 = 20
The area: A = width × length
A = (10)(20) = 200
<h3>Answer: The area of the garden is equal 200 square units.</h3>
I believe your question is asking for 8^-1
To make it have a positive exponent, it is simple. Note that whenever there is a negative power, place the number and power underneath 1
1/(8^1) or 1/8 is your answer
hope this helps
Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula 
and substitute the x and y values of those points into it, then simplify:
So, the slope is 
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for 
and 
in the slope-intercept formula, 
, to write the equation of the line. Since represents the slope, substitute for it. Since represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:
