12/20 can be simplified to 3/5
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
Answer:
h ≈ 13.4
Step-by-step explanation:
Since the triangle is right we can use the sine ratio to find h
sin48° = 
= 
Multiply both sides by 18
18 × sin48° = h
⇒ h = 13.4 cm ( to 1 dec. place )
Answer:
If numbers divisible by 6 are also divisible by 3 then any thing times 6 will be the same by 3.
