Answer:
<em>The old photo frame is still rectangular</em>
Step-by-step explanation:
<u>Rectangles</u>
The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:
Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.
Calculating:
Since the condition is met, the old photo frame is still rectangular
Answer:
Range =94
σ² = 1,141.564
Standard Deviation = 33.78703
Step-by-step explanation:
First off to find the range, we find the highest value and subtract it to the lowest value. In this situation the values are:
Highest = 99
Lowest = 5
Range = 99 - 5
Range = 94
Now to find the variance of the sample data set, we first need to find for the mean of the data.
The mean of the data with be the sum of all the numbers in the data set divided by the number of samples.
5 + 14 + 26 + 50 + 60 +72 + 79 + 88 + 93 +94 + 99
That would equal 680
Then you divide the number of samples and that is 11 so the next equation is 680 divided by 11
So the then-
Mean = 61.81818
Now to find the variance we simply use the formula:
Now to find the variance we simply use the formula:
σ²=
σ²=
σ²=
σ²=
Now to find the standard deviation, we take the variance and get the square root of it.
Standard Deviation= 
Standard Deviation= 
HOPE THIS HELPS :)
The perimeter of a rectangle, is all of the sides added up.
In a rectangle, there are two widths (right and left), and two lengths (up and down)
So:
Perimeter = 2 × width + 2 × length.
To get the equation we just substitute in the values that we are given:
length = (x)
width = (x - 4)
perimeter = 87
So just put these values into: perimeter = 2 × width + 2 × length:
87 = 2(x) + 2(x - 4)
_____________________________
Answer:
The equation is: 87 = 2(x) + 2(x - 4)
<em>(note: this can be simplified down like so:</em>
<em>87 = 2x + 2x - 8</em>
<em>87 = 4x - 8</em>
<em>95 = 4x</em>
23.75 = x
)
Answer:
I think he can do 12 outfits.
Step-by-step explanation:
I hope this helps. Sorry if I am wrong, I am not the greatest at math.
X^2-y^2
you would get x^2+xy-xy+y^2
the xy and -xy cancel
