Answer: 77.05
Step-by-step explanation: 1) Draw a right triangle with these measures:
angle with the horizontal: 6 degress
horizontal segment: 5
height: x
2) Definition of tangent : tan(6°) = opposite leg / adjacent leg = x / 5 =>
3) Solve for
x = 5tan(6°) = 77.05
Answer:
It's just c
Step-by-step explanation:
That's what corresponding angles look like? I don't really know how to explain this. Sorry!
The answer is B. The values of y must only be positive because it is equal to

The other options states that the values of y could be negative which is why it is wrong.
Answer:
f(x) = 12x = 10
Step-by-step explanation:
We need a linear equation in the slope-intercept form.
y = mx + b
where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value
Let's look in the table.
1 hour: $22
2 hours: $34
The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.
The difference in time between 1 hour and 2 hours is 1 hour.
In 1 hour he earns $12. That means the slope is 12.
We know he earns $22 for working a total of 1 hour.
Start at 1 hour and $22 on the table.
Subtract 1 hour from 1 hour to get 0 hours.
Subtract $12 form $22 to get $10.
That means for 0 hours he gets $10. b = 10
The equation is
y = 12x + 10
In function form, we have:
f(x) = 12x = 10
Answer:
4 minutes
Step-by-step explanation:
make equation
0.25+(0.15x)= 0.85
solve for x
0.15x= 0.60
x=4