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3 years ago

13

Sam's Mom makes sandwiches, s, for lunch everyday for his brothers and sisters. There are 15 slices of bread, b, left in the pac

ket. Identify the independent and dependent variables in this scenario.

1 answer:

ArbitrLikvidat [17]3 years ago

7 0

Answer:

b= independent S=dependent

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By selling a stool for $240 a carpenter loses 20%. How much per cent would he gain or lose by selling it for $360?

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Answer. Step-by-step explanation: By selling it at 360 he would lose 13% because the amount of money lost with 240$ is 48$ (You can find that out by doing 240 x 0.2). If he loses 48$ again when selling it at 360$ he would make 312 dollars.

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Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

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Your answer would be the last option, (6x² - 5)(x² + 2).
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If sin ⁡x=725, and 0 ∠ x ∠ pi/2, what is the tan (x - pi/4)

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$Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

<u>Step-by-step explanation:</u>

Here we have , sin ⁡x=7/25( given sin x = 725 which is not possible ) , $0$ . Let's find tan (x - pi/4):

⇒ $Tanx = \frac{sinx}{cosx}$

⇒ $Tanx = \frac{sinx}{\sqrt{1-(sinx)^{2}}}$

⇒ $Tanx = \frac{\frac{7}{25}}{\sqrt{1-(\frac{7}{25})^{2}}}$

⇒ $Tanx = {\frac{7}{25}}{\sqrt{(\frac{625}{625-49})^{}}}$

⇒ $Tanx = {\frac{7}{25}}(\frac{25}{24} )$

⇒ $Tanx = {\frac{7}{24}}$

Now , $Tan(x-\frac{\pi }{4}) = \frac{Tanx - Tan(\frac{\pi }{4} )}{1+ Tanx(Tan(\frac{\pi }{4} )}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{Tanx -1}{1+ Tanx(1)}$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7}{24} -1}{1+\frac{7}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{\frac{7-24}{24} }{\frac{7+24}{24} }$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{24} (\frac{24}{31} )$

⇒ $Tan(x-\frac{\pi }{4}) = \frac{-17}{31}$

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