60% choose band......40% choose chorus
30% who are taking band are girls......30% of 60% is (0.3 * 0.6) = 0.18 or 18%..so 18% are girls.
70% who take chorus are girls....70% of 40% is (0.7 * 0.4) = 0.28 or 28%...so 28% are girls.
18% + 28% = 46%....so a total of 46% taking band and chorus are girls.....so that leaves (100% - 46%) = 54% ( or 0.54) are boys
The answer is 41
Because 90-49
Answer:
x = ![\sqrt{119\\}](https://tex.z-dn.net/?f=%5Csqrt%7B119%5C%5C%7D)
Step-by-step explanation:
formula for this is
where a is the altitude and b is the base
altitude = 12
base = 10
![\sqrt{12^{2}-(10/2)^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B12%5E%7B2%7D-%2810%2F2%29%5E%7B2%7D%20%20%7D)
![\sqrt{144-5^{2} }](https://tex.z-dn.net/?f=%5Csqrt%7B144-5%5E%7B2%7D%20%7D)
![\sqrt{144-25}](https://tex.z-dn.net/?f=%5Csqrt%7B144-25%7D)
≈ 10.9
so I would say x =
or 10.9, but seeing as thats not an option, then I'm not sure
Answer:
![\left(m+5\right)^2](https://tex.z-dn.net/?f=%5Cleft%28m%2B5%5Cright%29%5E2)
Step-by-step explanation:
![m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\](https://tex.z-dn.net/?f=m%5E2%2B10m%2B25%5C%5C%5Cmathrm%7BRewrite%5C%3A%7Dm%5E2%2B10m%2B25%5Cmathrm%7B%5C%3Aas%5C%3A%7Dm%5E2%2B2m%5Ccdot%20%5C%3A5%2B5%5E2%5C%5Cm%5E2%2B10m%2B25%5C%5C%5Cmathrm%7BRewrite%5C%3A%7D25%5Cmathrm%7B%5C%3Aas%5C%3A%7D5%5E2%5C%5C%3Dm%5E2%2B10m%2B5%5E2%5C%5C%5Cmathrm%7BRewrite%5C%3A%7D10m%5Cmathrm%7B%5C%3Aas%5C%3A%7D2m%5Ccdot%20%5C%3A5%5C%5C%3Dm%5E2%2B2m%5Ccdot%20%5C%3A5%2B5%5E2%5C%5C%5Cmathrm%7BApply%5C%3APerfect%5C%3ASquare%5C%3AFormula%7D%3A%5Cquad%20%5Cleft%28a%2Bb%5Cright%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5C%5Ca%3Dm%2C%5C%3Ab%3D5%5C%5C%5Cleft%28m%2B5%5Cright%29%5E2%5C%5C)