Find the exact value of cot ø if csc ø = -4/3 and and the terminal side of ø lies in quadrant iii

√7/3.

Step-by-step explanation:

csc Ø = 1 / sin Ø =  1 / -4/3 = -3/4.

As the sine is the opposite / hypotenuse  the side adjacent to angle Ø  will have length √(4^2 - 3^2) = √7 (by the Pythagoras theorem) and as  the angle is in the third quadrant this will be -√7.

So cot Ø = adjacent / opposite =  -√7/ -3

= √7/3   (answer).

Step-by-step explanation:

It is given that cosec =-4/3 and sin theta =1/cosec theta

so sin theta =-3/4 now since sin theta is perpendicular/hypotenuse, the third side base will be

and we know that cot theta is inverse of tan so it will be base/perpendicular

i.e and also it is given that side of theta is in quadrant III so cot theta will be positive, so final answer will be

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: