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Ivanshal [37]
3 years ago
7

an online retailer charges $6.99 plus $0.55 per pound to ship electronics purchases. How many pounds is a dvd player for which a

shipping charge is $11.94?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
3 0

Answer:

The weight is 9 lbs

Step-by-step explanation:

flat fee + price per found * pounds = total charge

6.99 + .55 * p = 11.94

Subtract 6.99 from each side

6.99 + .55 * p  - 6.99= 11.94-6.99

.55p =4.95

Divide each side by .55

.55p/.55 = 4.95/.55

p =9

The weight is 9 lbs

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(\tan ^(2)\theta \cos ^(2)\theta -1)/(1+\cos (2\theta ))=
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(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))

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so cos²(<em>θ</em>) cancels with the cos²(<em>θ</em>) in the tan²(<em>θ</em>) term:

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Recall the double angle identity for cosine,

cos(2<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

so the 1 in the denominator also vanishes:

(sin²(<em>θ</em>) - 1) / (2 cos²(<em>θ</em>))

Recall the Pythagorean identity,

cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1

which means

sin²(<em>θ</em>) - 1 = -cos²(<em>θ</em>):

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Cancel the cos²(<em>θ</em>) terms to end up with

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