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mina [271]
3 years ago
14

I'm having trouble solving these two, any help?

Mathematics
1 answer:
mr_godi [17]3 years ago
5 0

Answer:

32

Step-by-step explanation:

the number of options for doors (2) times the number of options for cylinder (2 )times the number of colour options (8) (2x2x8) is 32. My apologies I don't know about number 5

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x^2+y^2=r^2\hspace{5em}x=r\cos(\theta )\hspace{5em}y=r\sin(\theta ) \\\\[-0.35em] ~\dotfill\\\\ x^2+(y+4)^2=16\implies x^2+\stackrel{binomial~expansion}{y^2+8y+16}=16 \\\\\\ \underset{x^2+y^2}{r^2} + 8(~\underset{8y}{r\sin(\theta )}~)=16-16\implies r^2+8r\sin(\theta)=0 \\\\\\ r^2=-8r\sin(\theta )\implies \cfrac{r^2}{r}=-8\sin(\theta )\implies r=-8\sin(\theta )

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