Answer:
The distance 5 miles North-East of the intersection between the car and the truck increasing at 71.06 miles per hour at that moment.
Step-by-step explanation:
Looking at the attached figures, Fig 1 shows the diagram of the car and the truck.
Using Pythagoras theorem on Fig 1a,


The resultant displacement between the car and the truck at that same moment is 5 miles.
From the velocity vector diagram on Fig 2,
The resultant velocity R is given as

Therefore, the distance 5 miles North-East of the intersection between the car and the truck increasing at 71.06 miles per hour at that moment.
Answer:
541 (484) 783, 437 (410) 642
Step-by-step explanation:
Required
Fill in the bracket
First, we generate a formula for the first sequence: 541 (484) 783
![484 = 2 * [783 - 541]](https://tex.z-dn.net/?f=484%20%3D%202%20%2A%20%5B783%20-%20541%5D)
![484 = 2 * [242]](https://tex.z-dn.net/?f=484%20%3D%202%20%2A%20%5B242%5D)


Using the same formula for the second sequence: 437 (?) 642
![x = 2 * [642 - 437]](https://tex.z-dn.net/?f=x%20%3D%202%20%2A%20%5B642%20-%20437%5D)
Where x represents the empty bracket
![x = 2 * [205]](https://tex.z-dn.net/?f=x%20%3D%202%20%2A%20%5B205%5D)


Answer: length of DE = 18
Step-by-step explanation:
Since the angles of these two triangles are the same, we can assume that they are <em>similar triangles</em>. To solve for a missing side of a triangle that is similar, you can set up a proportion:

To solve for x (the missing length), you would do:
27 × 10 ÷ 15 = 18
You can set up the proportion in any way between the two triangles as long as the two sides correspond to each other. For example, you could have also used the following proportion to solve for x:

When you solve for x using this proportion, you would get the same value for x:
10 × 27 ÷ 15 = 18
M is dependent and h is independent
m=money and h=hours, p =money per hour
m=ph