Answer:
Upon solving for y, we find:
By substitution, we have:
Thus, we arrive at:
And for x, we determine:
This gives us a length of 76 and a width of 12.5.
Step-by-step explanation:
We are dealing with a rectangle. The formula for the perimeter is:
Here, x denotes the length and y the width. The following conditions can be established:
Substituting these values yields:
When we solve for y, we find:
By substitution, we obtain:
Thus, we conclude:
The length is found to be 76, while the width measures 12.5.
Answer:
(value - mean)/standard deviation.
Now substitute 78 for the value, 84.5 for the mean, and 3.1 for the standard deviation.
Step-by-step explanation:
Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).
First, we need to determine the dimensions of the rectangle, specifically its length and width.
We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4
Consequently, Length becomes 2x, leading to 2(4)=8.
Therefore, the length is 8 inches and the width is 4 inches.
Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.
Area=(8 in)(4 in)=32 in²
Conclusion: The area of Marshall's rectangular poster is 32 in².
Answer:
The wheel's diameter in millimeters is 660.4
Step-by-step explanation:
The diameter of the wheel is 26 inches
as given
1 inch equals 25.4 millimeters
Multiplying both sides by 26
26 inches = 26*25.4 millimeters
=>26 inches = 660.4 mm.
Thus, the diameter of the wheel in millimeters is 660.4
(4*4*10)*3
160*3=480
(5*3*10)*2
150*2=300
480+300=780 cubic meters
