Jorge tiene 5 veces la edad de su hijo dentro de 15 años, tendrá únicamente el doble de la edad de su hijo ¿cuantos años tendrá su hijo dentro de 15 años ?

His son will be 20 within 15 years

Step-by-step explanation:

The question in English is

Jorge is 5 times his son's age, within 15 years, he will only be twice his son's age. How many years will his son be within 15 years?

Let

x ----> Jorge's age now

y ----> His son's age now

we know that

-----> equation A

-----> equation B

Solve the system by substitution

Substitute equation A in equation B

Solve for y

Find the value of x

---->

so

Jorge's age now is 25 years

His son's age now is 5 years

therefore

His son will be 20 within 15 years

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

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