Answer:
You use the facts about a 30, 60, 90 triangle.
Step-by-step explanation:
The angles in a triangle add up to 180.
90+30+x=180
120+x=180
x=60
This is a 30-60-90 right triangle.
The side opposite the 30 degree angle is a.
The side opposite the 90 degree angle (hypotenuse) is 2a.
The side opposite the 60 degree angle is a
We know the side opposite the 90 degree angle.
2a = 12
Divide by 2.
a=6
a is the side opposite the 30 degree angle (y)
Because we know a, we can find a.
6
The square roots cancel, leaving 3.
6 times 3 is 18.
Therefore, the side opposite the 60 degree angle (x) is 18.
Answer: 0.09 hours
Step-by-step explanation:
You are owed $1.76 in overtime pay.
The hourly rate for overtime is $19.50 per hour.
To find the number of hours owed, you need to divide the amount owed by the amount owed per hour.
The number of hours you are owed is therefore:
= Amount owed / Amount owed per hour
= 1.76 / 19.50
= 0.09 hours
Answer:
- 3
5
Step-by-step explanation:
Starting equation:
92=J+L+B
To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1
Enter those equations in the problem
92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L
Answer:
Lonnie has $11
Jane has $38
Bob has $43
side note: Lonnie is that one poor friend we all have
