Basically, Justin and Tina's paths form two right-angled triangles whose hypotenuses(?) form a straight line between their end points. Therefore we need to find the two distances from the starting point and add them.
Justin walked 3 miles north and 6 miles west so his distance from the start is the square root of 9+36 or 45. This can be simplified to 3√5.
Tina walked 2 miles south and 4 miles east so her distance from the starting point is the square root of 4 + 16 or 20. This can be written as 2√5.
If we add these two distances together we get 5√5. Hence, Justin and Tina are 5√5 miles away from each other.
Answer:
V=314.15
Step-by-step explanation:
V=1/3pi*r^2*h
V=1/3*pi*5^2*12
V=1/3pi*25*12
V=1/3pi*300
V=300/3pi
V=100pi
V=314.15
Answer:
or 
Step-by-step explanation:
The volume of a cylinder can be found with the following formula:

Where "r" is the radius and "h" is the height of the cylinder.
In this case, let be:
-
the volume of one of this cylinders and
the volume of the other one.
-
the radius of the first one and
the radius of the other cylinder.
-
the height of one of them and
the height of the other cylinder.
Then:

Therefore, you know this:

Simplifying, you get:

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

Evaluating, you get:

Hello there!
In order to graph the solution, we need to solve it first.
So let's start....
3/7(35x - 14) ≤ 21x/2 + 3
15x -6 ≤ 21x/2 + 3
15x - 21x/2 ≤ 3 + 6
9x/2 ≤ 9
x ≤ 9* 2/9
x ≤ 18/9
x ≤ 2
See the picture for the graph
Please let me know if you have questions about the answer.
Thanks!
Answer:
120 pounds
Step-by-step explanation:
56 + 64 = 120 pounds