Answer: 0.796 meters
Step-by-step explanation:
Circumference of circle =
, where r=radius
Here, Circumference of loop = 2.5 meters
i.e. ![2\pi r=2.5](https://tex.z-dn.net/?f=2%5Cpi%20r%3D2.5)
![\Rightarrow\ r=\dfrac{2.5}{2\pi}](https://tex.z-dn.net/?f=%5CRightarrow%5C%20r%3D%5Cdfrac%7B2.5%7D%7B2%5Cpi%7D)
![\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m](https://tex.z-dn.net/?f=%5CRightarrow%5C%20r%3D%5Cdfrac%7B2.5%7D%7B2%5Ctimes%5Cdfrac%7B22%7D%7B7%7D%7D%5C%5C%5C%5C%5CRightarrow%5C%20r%3D%5Cdfrac%7B2.5%5Ctimes7%7D%7B2%5Ctimes22%7D%5C%5C%5C%5C%5CRighttarrow%5C%20r%3D0.398%5C%20m)
Diameter = 2r = 2(0.398) = 0.796 meters
Hence, The diameter of Taiga's exercise hoop = 0.796 meters
Idk I have tried and failed miserably
Answer:
25150
Step-by-step explanation:
First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it. (a geometric sequence would be a multiplication, not an addition)
So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.
To do this without spending hours writing them down, we can use this formula:
![S = \frac{n}{2} * (2a + (n - 1) * d)](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%20%2A%20%282a%20%2B%20%28n%20-%201%29%20%2A%20d%29)
If we plug in our values, we have:
![S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)](https://tex.z-dn.net/?f=S%20%3D%20%5Cfrac%7B100%7D%7B2%7D%20%2A%20%282%20%2A%204%20%2B%20%28100%20-%201%29%20%2A%205%29%20%3D%2050%20%2A%20%288%20%2B%2099%20%2A%205%29)
S = 50 * (8 + 495) = 50 * 503 = 25150
B- $7.50. Take 30 and divide it by 4, and you get your weekly subscription cost.