Find the distance between (3,4) and (7,5).

4.123106

Step-by-step explanation:

Find the difference between coordinates:

(x2-x1) = (7 - 3) = 4

(y2-y1) = (5 - 4) = 1

Square the results and sum them up:

(4)2 + (1)2 = 16 + 1 = 17

Now Find the square root and that's your result:

Exact solution: √17 = √17

Approximate solution: 4.1231

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92