First, notice that:
And in the denominator we have:
then, we have on the original expression:
therefore, the identity equals to sinx
A rectangle has a width of 9 inches and a length of 15 inches. If the rectangle is enlarged by a scale factor of 3/2, what is th
1 answer:
Answer:
P = 48 in²
Step-by-step explanation:
Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of
To find: Perimeter of the dilated rectangle
Formula:
Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.
×
Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²
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Answer:
Step-by-step explanation:
A line that cuts a circle at two points is called "secant".
There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".
According the Intersecting Secant Theorem:
Having this expression, the next step is to solve for "d":
Use Distributive property:
Subtract 256 from both sides:
Divide both sides by 16:
The value of "d" rounded to the nearest tenth is:
Answer:
The first table.
Step-by-step explanation:
A slope of 0 means that as x increases, y stays the same. In the first table, all of our y-values are 2; this means that y stays constant.
To prove it, we use our formula for slope:
The slope of the line between the first two points is
(2-2)/(-3--1) = 0/-2 = 0
The slope of the line between the second pair of points is
(2-2)/(-1-1) = 0/-2 = 0
The slope of the line between the next pair of points is
(2-2)/(1-3) = 0/-2 = 0
Since the slope between each pair of points is 0, the slope of the entire line is 0.