The ratio is 14:5, as 42 divided by 3 is 14 and 15 divided by 3 is 5.
Originally we have
length = x
width = x-2
since the width is 2 inches smaller than the length
now let's triple each dimension. Multiply the expressions by 3 to get
new length = 3*x
new width = 3*(x-2) = 3x-6
Now onto the area
area = (length)*(width)
area = (3x)*(3x-6)
area = 3x*3x-3x*6
area = 9x^2 - 18x
So the new larger rectangle has area of 9x^2-18x
The option A is correct. A circle is the shape of the cross section taken parallel to the base of a cylinder.
According to the statement
We have given that the cylinder and we have to tell that the which shape required for the cross section taken parallel to the base of a cylinder.
So, For this purpose,
We know that the
A cylinder is a three-dimensional solid, one of the most basic geometric shapes.
In this shape the surface formed by the points at a fixed distance from a line segment, which is known as the axis of the cylinder.
As the bases of cylinder are two identical circles which are parallel to the curved surface.
The curved surface when we open will be circle rather than the circle.
So, Due to this reason the answer is a circle.
Therefore, a circle is the shape of the cross section taken parallel to the base of a cylinder.
Learn more about base of cylinder here
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The formula for standard deviation is in attachment the mean (or average is subtracted from each data sample then squared, then summed up for all data samples, then divided by the number of samples, then finally the square root is taken.
The first row of data will have a standard deviation of 0.
The second row of numbers will have a low standard deviation because the differences between the sample data values are low ( <10).
The third row of number will have a somewhat larger standard because of the spread of the numbers.
The last row will have a slightly smaller standard deviation that the 3rd row because of the zero's
What smaller number can you get other than 0?
The first row of data has a 0 or smallest standard deviation
Answer:
Sarah and Lisa would spend an equal amount $15 per month and download 5 movies