draw a rectangle triangle :
sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:
Answer:
81/64 or 1 17/64
Step-by-step explanation:
A negative exponent means to flip the fraction
(8/9) ^-2
(9/8)^2
81/64
Changing this to a mixed number
1 17/64
<h2>
Answer:</h2>
The repair took:
2 hours and 45 minutes.
<h2>
Step-by-step explanation:</h2>
The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes.
Let he does a job of additional 15 minutes for: x times.
This means that:
Cost for additional minutes will be: $ 15.50x
Hence, his total cost will be equal to: 54+15.50x
i.e.
54+15.50x=162.50
i.e.
15.50x=162.50-54
i.e.
15.50x=108.50
i.e.
x=108.50/15.50
x=7
Hence, the work took a total of:
60+15×7=165 minutes
which is: 2 hours and 45 minutes.
Answer:
Sammy needs to pay his mom 5 dollars each time he breaks a rule. His mom will make one exception and only take 2 dollars one time. y represents the total money paid and x is the number of times sammy broke a rule.