Answer:
73 inches
Step-by-step explanation:
Hypotenuse² = base² + height²
Hypotenuse² = 48² + 55²
Hypotenuse² = 5329
Hypotenuse = sqrt(5329)
Hypotenuse = 73 in
JK + KL = JL
JK = 2x, KL = x + 2, JL = 5x - 10
therefore we heve the equation:
2x + (x + 2) = 5x - 10
3x + 2 = 5x - 10 |-2
3x = 5x - 12 |-5x
-2x = -12 |:(-2)
x = 6
JK = 2x → JK = 2(6) = 12
KL = x + 2 → KL = 6 + 2 = 8
JL = 5x - 10 → JL = 5(6) - 10 = 30 - 10 = 20
Check:
JK + KL = JL
12 + 8 = 20 CORRECT :)
From 8.30 pm to 12 : 00
Difference = 12 : 00 - 08:30 = 3 : 30
3 hours 30 minutes = 3.5 hours.
Total for those hours = 3.5 * 1000 = $3500
From 12:00 to 1:00 am = 1 hour.
50% increase = 50% of 1000 = .50 * 1000 = 500
So it will increase to 1000 + 500 = $1500 per hour.
For the 1 hour extra, 1 * 1500 = $1500
Total = $3500 + $1500 = $5000
She will be paid $5000
