Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
Answer:
B. 39.59
Step-by-step explanation:
So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as
. So let's plug in known values:

Multiply both sides by x

divide both sides by sin(43)

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

simplify the fraction

Do you still need help with this question?
Answer:

Step-by-step explanation:
We want to combine alike terms so
-2/3c+14c & -9/5+3/10
14c-2/3

Multiply 14/1 by 3/3 to get the denominators the same

Subtract

simplify

now

Multiply 9/5 by 2/2

Subtract

Simplify

put both together

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
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