For this case we have that by definition, the equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cutoff point with the y axis
By definition, if two lines are perpendicular then the product of their slopes is -1.
We have the following line:
Then
The slope of a perpendicular line will be:
Thus, the equation of the line will be:
We substitute the given point and find "b":
Finally the equation is:
Answer:
If the house is 12 centimeters wide, and every 2 centimeters equals 6 meters, you have to divide 12 by 2 to get 6, which is how many times you have to multiply by 6 to get the width of the real house. So 6•6=36m. The real house is 36 meters wide. Sorry if this was confusing to anyone!
Answer:
a
Step-by-step explanation:
Answer:
THe expected annual cost is $282200
Step-by-step explanation:
We should take the base cost and sum it by the anual cost multiplied by 3, because the lifetime of the machines is 3 years. Since the expected return is 10%, then we have to multiply the result by 1.1, therefore
cost = (750000+12000*3)*1.1 = $864600
Now, we divide this by 3 to obtain the annual cost
Annual cost = 864600/3 = $288200
Answer:
Nathan is 36.3910059 ft from the base of the lighthouse.
Step-by-step explanation:
So to find the base, you have to find the tan (both legs) of the right triangle that the lighthouse makes. The angle of Nathan to the lighthouse is 74° so to find the distances, you have to do the tan(72) = opp/adj
The opposite is 112, and we have to find the adjacent.
tan(72) = 112/adj
3.07768354 = 112/adj
adj = 112/3.07768354
adj = 36.3910059