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3 years ago

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cindy is making punch for the beta club ceremony she needs to double her recipe. The recipe calls for 1/4 gallon of ginger ale a

nd 1/2 gallon of fruit punch. Cindy knows that 1/2 double would be 1 whole but she is unsure about the ginger ale so what is the double for 1/4

1 answer:

Aleksandr-060686 [28]3 years ago

6 0

Double 1/4 is 2/4 which is equal to 1/2

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<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>

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Step-by-step explanation:

Given

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Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

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Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

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Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

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So, from the list of given options;

<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>

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