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3 years ago

You have 3/5 of an apple pie . you divide the remaining pie into 5 equal pieces. what fraction of the original pie is each slice

Mathematics

1 answer:

natita [175]3 years ago

8 0

This is a division problem.
You need to divide 3/5 by 5.

(3/5) / 5 = (3/5 / (5/1) = 3/5 * 1/5 = 3/25

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Someone plz help me. There are 2 answer choices

givi [52]

ik the first answer choice is false

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3 years ago

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Differentiate with respect to X <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7Bcos2x%7D%7B1%20%2Bsin2x%20%7D%20

Mice21 [21]

Power and chain rule (where the power rule kicks in because $\sqrt x=x^{1/2}$ ):

$\left(\sqrt{\dfrac{\cos(2x)}{1+\sin(2x)}}\right)'=\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'$

Simplify the leading term as

$\dfrac1{2\sqrt{\frac{\cos(2x)}{1+\sin(2x)}}}=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}$

Quotient rule:

$\left(\dfrac{\cos(2x)}{1+\sin(2x)}\right)'=\dfrac{(1+\sin(2x))(\cos(2x))'-\cos(2x)(1+\sin(2x))'}{(1+\sin(2x))^2}$

Chain rule:

$(\cos(2x))'=-\sin(2x)(2x)'=-2\sin(2x)$

$(1+\sin(2x))'=\cos(2x)(2x)'=2\cos(2x)$

Put everything together and simplify:

$\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{(1+\sin(2x))(-2\sin(2x))-\cos(2x)(2\cos(2x))}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2\sin^2(2x)-2\cos^2(2x)}{(1+\sin(2x))^2}$

$=\dfrac{\sqrt{1+\sin(2x)}}{2\sqrt{\cos(2x)}}\dfrac{-2\sin(2x)-2}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac{\sin(2x)+1}{(1+\sin(2x))^2}$

$=-\dfrac{\sqrt{1+\sin(2x)}}{\sqrt{\cos(2x)}}\dfrac1{1+\sin(2x)}$

$=-\dfrac1{\sqrt{\cos(2x)}}\dfrac1{\sqrt{1+\sin(2x)}}$

$=\boxed{-\dfrac1{\sqrt{\cos(2x)(1+\sin(2x))}}}$

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3 years ago

How do you solve...3c^3d/9cd^-1

Maksim231197 [3]

3c³d = c²d²
9cd^-1 3

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4 years ago

$490 at 2.1% compounded quarterly for 6 months

Lostsunrise [7]

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3 years ago

A train traveling at a constant speed takes a passenger from Deer Lake to Liberty, stopping first at Summerville and next at Cyp

nasty-shy [4]

Deer Lake - Summerville - Cypress - Liberty
Deer Lake to Summerville is 3
Summerville to Cypress is 1
Cypress to Liberty is 2
So if the entire trip is 360 miles, then you will take 3+1+2=6.
So from Deer Lake to Cypress, it would be 3+1=4.
So 4/6.
360÷6=60
Therefore 60×4=
240 Miles from Deer Lake to Cypress!

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3 years ago

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