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kozerog [31]
3 years ago
9

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 90 miles per

hour. The westbound train travels at 100 miles per hour. How long will it take for the two trains to be 418 miles apart?
Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

2hrs and 36 mins that is the answer

MAVERICK [17]3 years ago
6 0

Answer:

2 hrs 12 mins

Step-by-step explanation:

both trains are effectively getting 190 miles away from one another per hour. If you divide 418 miles by the 190 miles per hour, you get 2.2 hours.

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Read 2 more answers
Construct ∆ABC using the following segment
salantis [7]

Answer:

  Use the angle copy procedure to copy the angles to the ends of c.

Step-by-step explanation:

An angle is copied with a straightedge two settings of a compass.

  1. Set the compass to an arbitrary radius. An appropriate choice is a radius that is half or more of the length of the shortest ray of the angles you want to copy.
  2. Put the point of the compass at the vertex of an angle you want to copy. Using that same radius, draw arcs through both rays of the angle. Do this for all the angles you want to copy.
  3. Put the point of the compass at the place where you want the vertex of the copied angle. Here, that is either (both) end points of segment c. (You might want to label the ends of segment c as "A" and "B" so you know which angle you're copying where.) Using the same radius as before, draw an arc through the segment and through the space where you expect the ray from the copied angle to lie.
  4. For one of the source angles, set the compass radius to the distance between the points where the first arc crosses the angle's rays. Then, put the point of the compass at the place on the segment c where the corresponding arc crosses. Use the compass to mark a point on that arc the same distance as on the source angle. Draw a line from the vertex through the point you just marked. That line will make the same angle with c as the original angle.
  5. Repeat step 4 for the other angle you want to copy, at the other end of segment c. In general, the compass setting will be different (unless all the angles have the same measure).

The place where the rays from the copied angles cross is the third vertex (vertex C) of the triangle you're constructing.

_____

<em>Comments on the attached diagram</em>

In the attached diagram, "step 1" is to place the target vertex. You already have that as one end of segment C. The arcs numbered 2 and 3 in the diagram are the arcs resulting from executing steps 2 and 3 above. (They have arbitrary radius "r", which is the same everywhere.) You will have two sets, because you are copying two angles.

The arcs numbered 4 and 5 in the diagram have radius ST, the distance you set in step 4 above. That distance is used as the radius of arc 5, so the length VW will be the same as the length ST. The straightedge is used to draw a line through B and W, completing the copy of the angle.

6 0
2 years ago
Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour. Jeff knows that 1 cup of that
Sedaia [141]

Answer:

Jeff went over by 53.33 grams or 53\frac{1}{3} grams.

Step-by-step explanation:

Jeff is baking a cake. The recipe says that he has to mix 32 grams of vanilla powder to the flour.

Jeff knows that 1 cup of that particular vanilla powder has a mass of 128 grams.

He added \frac{2}{3} of a cup of vanilla powder to the flour.

So, he added a mass of \frac{2}{3} \times128= 85.33 grams of vanilla.

As the recipe says, it needs 32 grams of vanilla so Jeff went over by 85.33-32=53.33 grams.

Jeff went over by 53.33 grams or 53\frac{1}{3} grams.

8 0
3 years ago
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