D=rtthe distances are not equal, but they add up to a total of 400 milesone bus goes 55mph times t so that is 55t (that represents the distance in one direction)the other bus goes 45 mph,so that is 45t (that represents the distance in the other direction)the total distance is 400, so the equation is distance one direction + distance the other direction = 400your equation is 55t + 45t = 400 100t = 400 t= 4 hoursso after 4 hours they will be 400 miles apart
Answer:
12 inches
Step-by-step explanation:
when you want to find the original side, you multiply the new side by the scale factor. In this case, 18 and 2/3. And with that you'll get 12 inches
9514 1404 393
Answer:
s = 53°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(s -20°) +(2s) + 41° = 180°
3s +21° = 180° . . . . . . . . . . collect terms
s +7° = 60° . . . . . . . . . . divide by 3
s = 53° . . . . . . . . . . subtract 7°
<h3>Given</h3>
- room height is x feet
- room length is 3x feet
- room width is 3x feet
- a door 3 ft wide by 7 ft tall
<h3>Find</h3>
- The net area of the wall, excluding the door
<h3>Solution</h3>
The area of the wall, including the door, is the room perimeter multiplied by the height of the room. The room perimeter is the sum of the lengths of the four walls.
... gross wall area = (3x +3x +3x +3x)·x = 12x²
The area of the door is the product of its height and width.
... door area = (7 t)×(3 ft) = 21 ft²
Then the net wall area, exclusive of the door is ...
... net wall area = gross wall area - door area
... net wall area = 12x² -21 . . . . square feet