In the following shape, two semicircles
1 answer:
Answer:
The length around the figure in terms of r is 2r ( + 4).
Step-by-step explanation:
The perimeter of an object is the total length of the boundary of the object.
The figure consists two similar semicircle and a rectangle.
Adding the two semicircles, a complete circle is formed. The circumference of a circle = 2r.
The rectangle has a length which is twice its height.
i.e l = 2h
But,
r = (the diameters of the semicircles equal the height of the rectangle)
⇒ h = 2r
Thus, one side length of rectangle = 2 × 2r (l = 2 × h)
= 4r
The length around the figure in terms of r is:
= 2r + 4r + 4r
= 2r + 8r
= 2r ( + 4)
The length around the figure in terms of r is 2r ( + 4).
You might be interested in
Answer:
The function have a constant ratio
No, it does not represent an exponential function.
Step-by-step explanation:
As given,
Ines has saved $5. She doubles the amount she saves each week.
⇒ In first week she saved = $5
In second week she saved = 2×$5 = $10
In third week she saved = 2×$10 = 20
In fourth week she saved = 2×$20 = 40
and so on..
∴ we get the series
5, 10, 20, 40 ,.......
If the series is given as a, b, c, d, ..... , then
The common difference is defined as d = b-a = c-b
The common ration is defined as r =
Here, in the given question
The series is - 5, 10, 20, 40
This has no common difference , d = 10 - 5 (= 5 )≠ 20 - 10 (= 10)
As 5 ≠ 10
So the function does not define common difference .
Now,
This has common ratio , r =
As 2 = 2
So, the function represent common ratio
Now,
The function does not represent an exponential function because it is increased by common ratio.