Cary is 4 years older than dan. in 8 years the sum of their ages will be 64. find the age of each man now.

Well, you take 4D+8=64. If you subtract 8 from each side, you will end up with 56. Now, the problem is 4D=56. You divide 4 on each side. It will be as so, D=14. (D is for Dan)

Now, you take Cary which will be C. You use 14 and add 4 to it. You will get 18.

Therefore, Cary must be 18 while Dan is only 14.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

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