Percent means parts ot of 100
25%=25/100=1/4
ratio is 1:4 or 2:8 or 6:12
Answer:
37 1/2
Step-by-step explanation:
before you multiply you fractions you would have to change the mixed number into a improper fraction and then multiply your fractions together. once that is dont you would multiply they numerator straight across and multiply the denominator straight across. once that is done your answer should come out as 150/4 but that is a improper fraction and you have to change it into a mixed number which would be 37 2/4 but that can be simplified by 2 and once you simplify it your final answer would come out to be 37 1/2.
Answer:
![105.84\ cm^2](https://tex.z-dn.net/?f=105.84%5C%20cm%5E2)
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
----> the radius is half the diameter
substitute
![A=\pi (10.6)^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20%2810.6%29%5E%7B2%7D)
![A=112.36\pi\ cm^2](https://tex.z-dn.net/?f=A%3D112.36%5Cpi%5C%20cm%5E2)
step 2
Find the area of a sector
Remember that
The area of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector with a central angle of 108 degrees
![\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2](https://tex.z-dn.net/?f=%5Cfrac%7B112.36%5Cpi%7D%7B360%5Eo%7D%3D%5Cfrac%7Bx%7D%7B108%5Eo%7D%5C%5C%5C%5Cx%3D112.36%5Cpi%28108%29%2F360%5C%5C%5C%5Cx%3D33.708%5Cpi%5C%20cm%5E2)
assume
![\pi=3.14](https://tex.z-dn.net/?f=%5Cpi%3D3.14)
substitute
![33.708(3.14)=105.84\ cm^2](https://tex.z-dn.net/?f=33.708%283.14%29%3D105.84%5C%20cm%5E2)
Answer:
= 3n + 4
Step-by-step explanation:
there is a common difference between consecutive terms , that is
10 - 7 = 13 - 10 = 16 - 13 = 3
this indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 7 and d = 3 , then
= 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4