A Woman LEFT 8,500 TO BE SHARED AMONG
HER SON AND THREE
DAUGHTER EACH DAUGHTER
SHARE WAS 3/4 OF THE SOn
SHARE
How much DID SON RECIEVED

The son received 2,615.38.

Step-by-step explanation:

In order to know how much the son received, it is best to use algebraic expressions in finding the children's individual shares.

Let x be the son's share and be the share of each daughter.

The equation will be: 8,500 = x + + +

Next step is: 8,500 =  

                      8,500 =

                      8,500 × 4 = 13x

                      34,000 = 13x

                      = x

                      x = 2,615.38

The son received 2,615.38

Let's get the share of each daughter:

= = 1,961.54

Each daughter will receive 1,961.54

Let's check: 2,615.38 + 1,961.54 + 1,961.54 + 1,961.54 = 8,500

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