Answer:
Step-by-step explanation
1st, set up a ratio: ![\frac{250\pi }{C(JustAVariable)} =\frac{150}{360(TheDegreesInACircle)}](https://tex.z-dn.net/?f=%5Cfrac%7B250%5Cpi%20%7D%7BC%28JustAVariable%29%7D%20%3D%5Cfrac%7B150%7D%7B360%28TheDegreesInACircle%29%7D)
Cross Multiply: ![2826600=150C](https://tex.z-dn.net/?f=2826600%3D150C)
Divide 2826600 by 150 to solve for C: C=1,884 centimetres^2
Answer:
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Step-by-step explanation:
1) "a" and 60° are vertical angles, hence equal. a = 60°
2) "b" is the supplement to 60°, so is 180° - 60° = 120°. b = 120°
3) "d" is the supplement to 65°, so is 180° - 65° = 115°. d = 115°
4) "e" and 65° are vertical angles, hence equal. e = 65°
5) "g" is the supplement to 55°, so is 180° - 55° = 125°. g = 125°
6) "h" and 55° are vertical angles, hence equal. h = 55°
Answer:
Part a)
of fabric
Part b)
of thread
Step-by-step explanation:
we know that
A seamstress uses
centimeters of thread for every
centimeters of fabric
Part a)
by proportion
Find how much fabric is involved if the seamstress uses
centimeters of thread
![\frac{7.6}{5.7}\frac{cm\ fabric}{cm\ thread} =\frac{x}{4.2}\frac{cm\ fabric}{cm\ thread} \\ \\x=4.2*7.6/5.7\\ \\x=5.6\ cm\ fabric](https://tex.z-dn.net/?f=%5Cfrac%7B7.6%7D%7B5.7%7D%5Cfrac%7Bcm%5C%20fabric%7D%7Bcm%5C%20thread%7D%20%3D%5Cfrac%7Bx%7D%7B4.2%7D%5Cfrac%7Bcm%5C%20fabric%7D%7Bcm%5C%20thread%7D%20%5C%5C%20%5C%5Cx%3D4.2%2A7.6%2F5.7%5C%5C%20%5C%5Cx%3D5.6%5C%20cm%5C%20fabric)
Part b)
by proportion
Find how many centimeters of thread is needed if the seamstress is working with
centimeters of fabric
![\frac{7.6}{5.7}\frac{cm\ fabric}{cm\ thread} =\frac{21.2}{x}\frac{cm\ fabric}{cm\ thread} \\ \\x=5.7*21.2/7.6\\ \\x=15.9\ cm\ thread](https://tex.z-dn.net/?f=%5Cfrac%7B7.6%7D%7B5.7%7D%5Cfrac%7Bcm%5C%20fabric%7D%7Bcm%5C%20thread%7D%20%3D%5Cfrac%7B21.2%7D%7Bx%7D%5Cfrac%7Bcm%5C%20fabric%7D%7Bcm%5C%20thread%7D%20%5C%5C%20%5C%5Cx%3D5.7%2A21.2%2F7.6%5C%5C%20%5C%5Cx%3D15.9%5C%20cm%5C%20thread)