Step 1
find the coordinates of the factory
the <span>factory is 104 miles due north of the warehouse
the coordinates of the warehouse are (39,-52)
coordinates of the factory------> (39,-52+104)------> (39,52)
step 2
find the distance warehouse to airport
let
A coordinates of warehouse-------> A( 39,-52)
B coordinates of airport---------> B(-39,52)
C coordinates of factory-------> C(39,52)
distance AB=</span>√[(52+52)²+(-39-39)²]------> distance AB=130 miles
<span>
step 3
find the distance airport to factory
B(-39,52)
</span>C(39,52)
distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles
<span>the total number of miles=distance AB+distance BC---> 130+39
</span><span>the total number of miles=169 miles
</span>
the answer is
169 miles
Answer:
No Problem
Step-by-step explanation:
Answer:
The equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Step-by-step explanation:
Given the equation
y + 5 = 3(x - 1)
Writing in the slope-intercept form
y=mx+b
where m is the slope and b is the y-intercept
y = 3(x-1) -5
y = 3x-3-5
y = 3x - 8
Thus, the slope = m = 3
We know that the parallel lines have equal slopes.
So, the slope of a parallel line is also 3
Using the point-slope form of the line equation
substituting the values m = 3 and the point (3, -4)
y-(-4)=3(x-3)
y+4 = 3x-9
y = 3x-9-4
y = 3x-13
Thus, the equation for a line that is parallel to y + 5 = 3(x - 1) and goes through the point (3,-4) will be:
Answer:
It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.
Step-by-step explanation:
Volume of a cone, V = πr^2h/3
r = Sqrt 3V/πh = Sqrt [(58.9*3)/(3.14*9)] = 2.5 cm, minimum
Surface area, A = πr [r+ Sqrt (h^2+r^2)] = 3.14*2.5*[2.5+ Sqrt (9^2+2.5^2)] = 92.95 cm^2
Therefore, minimum amount of paper required is 92.95 cm^2
