<span>The two fires are about 70 feet from each other.
The assumption is that the ground is relatively level and that a right triangle will be made with the three points of the triangle being the ranger, the spot on the ground directly beneath the ranger, and the fire itself. So the distance to the first fire will be:
Calculate the angle. That will be 90° - 11.6° = 78.4°
The distance will be
tan(78.4) = X/60
60 tan(78.4) = X
60 * 4.871620136 = X
292.2972082 = X
And that's how far the 1st fire is from the ranger's station. Now for the 2nd
angle = 90° - 9.4° = 80.6°
60 tan(80.6) = X
60 * 6.040510327 = X
362.4306196 = X
And the distance between the two fires will be the difference in distance from the tower, so
362.4306196 - 292.2972082 = 70.13341146
Rounding to 2 significant figures gives 70 feet.</span>
Answer:
A Sarah earns more money per hour $15
Step-by-step explanation:
We need to find the slope to determine the rate ( amount per hour
Sarah
m = (y2-y1)/(x2-x1)
= (50-5)/(3-0)
= 45/3
= $15 per hour
Mia
m = (y2-y1)/(x2-x1)
= (20-10)/(2-0)
= 10/2
= $5 per hour
Answer:
g(4)=19
Step-by-step explanation:
Plug 4 in for x:
4^2+3=16+3=19
Therefore, g(4)=19
Answer:
2) the graph has a positive slope. the slope is 15. the y-intercept is 50.
3) (4,110)
So, to solve this problem you just have to add up all of the smaller parts.
First, we have our daily charge: $46.99
2 * 46.99 = $93.98
Next, we have our mileage costs, which will be
[ (miles driven) * (charge per mile) ] - (50 * 0.35)
(430 * 0.35) - 17.5
150.50 - 17.50 = $133
Finally, we add our daily rate to our mileage costs.
93.98 + 133 = $226.98
