Given sin A = 4/5 and cos A < 0, find tan A

tan A = -

Step-by-step explanation:

Using the identity sin² A + cos² A = 1, then

( )² + cos² A = 1

+ cos² A = 1 ( subtract from both sides )

cos² A = ( take the square root of both sides )

cos A = ± and given cosA < 0, then

cos A = -

Using the identity

tan A = , then

tan A = = × - = -

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

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