Answer:
Step-by-step explanation:.
Answer: 71.6°
tan-1(9/3) = 71.56505118°
Answer: Translation 3 units to the left and 1 unit up
Step-by-step explanation: x-3 will move 3 to left y + 1 will move up 1
Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
If you would like to know the average rate in miles per hour, you can calculate this using the following steps:
420 miles ... 210 minutes
x miles = ? ... 1 hour = 60 minutes
420 * 60 = 210 * x
x = 420 * 60 / 210
x = 120 miles
The correct result would be 120 miles per hour.
