Explanation:
The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (
160
meters).
To find the circumference of the circle, we need to know the diameter.
Circumference of a circle:
d
π
or
2
r
π
, where
d
represents diameter and
r
represents radius
The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is
14400
and that its length is
160
.
Width: area divided by length
14400
160
=
90
The diameter of the circle and the width of the rectangle is
90
meters.
Circumference:
90
⋅
π
=
90
π
→
If you are using an approximation such as 3.14 for
π
, multiply that by 90
Add
160
⋅
2
to the circumference since the lengths of the rectangle are also part of the perimeter.
160
⋅
2
=
320
90
π
+
320
i hope it helps you ok please mark ❣️ me as brainlist
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:
![a_n=7\cdot \:2^{n-1}](https://tex.z-dn.net/?f=a_n%3D7%5Ccdot%20%5C%3A2%5E%7Bn-1%7D)
Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by
![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms
![\frac{14}{7}=2,\:\quad \frac{28}{14}=2](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7B7%7D%3D2%2C%5C%3A%5Cquad%20%5Cfrac%7B28%7D%7B14%7D%3D2)
The ratio of all the adjacent terms is the same and equal to
![r=2](https://tex.z-dn.net/?f=r%3D2)
now substituting r = 2 and a₁ = 7 in the nth term
![a_n=a_1\cdot r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%5Ccdot%20r%5E%7Bn-1%7D)
![a_n=7\cdot \:2^{n-1}](https://tex.z-dn.net/?f=a_n%3D7%5Ccdot%20%5C%3A2%5E%7Bn-1%7D)
Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
![a_n=7\cdot \:2^{n-1}](https://tex.z-dn.net/?f=a_n%3D7%5Ccdot%20%5C%3A2%5E%7Bn-1%7D)
Answer:
B
Step-by-step explanation:
Cube root of 27 is 3, which is in integer
Answer:
I think its correct
Step-by-step explanation:
booooooooom
Answer:
S= 1.<u>3</u>r
Step-by-step explanation:
The 3 is underlined because it was suppose to go on top of the 3 but it didn't give me the option but that means infinity of 3
If you need more information you cant tell me hope this helped!