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3 years ago

7

Mrs. Perez is buying a refrigerator for $1368.25, which includes taxes and delivery charges. She pays $497.80 in cash and will w

rite a check for the balance. For how much should she write the check?

2 answers:

Olegator [25]3 years ago

6 0

Answer:

7

Step-by-step explanation:

zmey [24]3 years ago

5 0

1368.25 minus 497.80= 870.45

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Step-by-step explanation:

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SVETLANKA909090 [29]

Answer:

$\sqrt{15}$

Step-by-step explanation:

$\cos(\theta)=\frac{1}{4}$ is given.

My attempt will to be to use the Pythagorean Identity:

$\cos^2(\theta)+\sin^2(\theta)=1$

$(\frac{1}{4})^2+\sin^2(\theta)=1$

$\frac{1}{16}+\sin^2(\theta)=1$

Subtract 1/16 on both sides:

$\sin^2(\theta)=\frac{15}{16}$

We have the following quotient identity:

$\frac{\sin^2(\theta)}{\cos^2(\theta)}=\tan^2(\theta)$

$\frac{\sin^2(\theta)}{\cos^2(\theta)}=\frac{\frac{15}{16}}{\frac{1}{16}}$

Multiply the numerator and denominator by 16. This is multiplying the fraction by 1 so this doesn't change the value of the fraction.

$\tan^2(\theta)=\frac{15}{1}$

$\tan^2(\theta)=15$

Square root both sides:

$\tan(\theta)=\pm \sqrt{15}$

Since we are in the first quadrant then all 6 trigonometric functions are positive there so the answer is $\sqrt{15}$ .

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3 years ago