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zlopas [31]
4 years ago
13

Complete the table to show the

Mathematics
1 answer:
guapka [62]4 years ago
8 0

The Labeling for angle A angle B is

For ∠ A

a = Opposite Side

b = Adjacent Side

c = Hypotenuse    

For ∠ B

a = Adjacent Side  

b = Opposite Side

c = Hypotenuse    

Answer:

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠C = 90°

AB = Hypotenuse = c

AC = b

BC = a

The Complete Labeling is as follow

For ∠ A

a = Opposite Side ( Side Opposite to angle A )

b = Adjacent Side ( Side Adjacent to angle A )

c = Hypotenuse    ( Side Opposite to 90° )

Similarly,

For ∠ B

a = Adjacent Side  ( Side Adjacent to angle A )

b = Opposite Side ( Side Opposite to angle A )

c = Hypotenuse     ( Side Opposite to 90° )

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Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the
klemol [59]

Answer:

I'm going to paint you a picture in words of what this looks like on paper.  We have a train leaving from a point on your paper heading straight west.  We have another train leaving from the same point on your paper heading straight east.  This is the "opposite directions" that your problem gives you.  

Now let's make a table:

                distance       =        rate      *       time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing.  It says that one train is traveling 12 mph faster than the other train.  We don't know how fast "the other train" is going, so let's call that rate r.  If the first train is travelin 12 mph faster, that rate is r + 12.  Let's put that into the table

              distance        =        rate        *        time

Train 1                                        r

Train 2                                    (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

         

              distance        =        rate        *        time

Train 1                                        r           *          2

Train 2                                  (r + 12)       *          2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r.  The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24.  The distance between them (which is also the length of the whole entire arrow) is 232.  Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

Step-by-step explanation:

3 0
4 years ago
Find the area. Show formulas, work, and label your answer.​
egoroff_w [7]

Answer:

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Step-by-step explanation:

8 4/5 is not needed. The other two will given you the answer.

Area = 1/2 * b * h

b = 12 2/5 = 12.4

h = 5 1/2 = 5.5

Area = 1/2 * 12.4 * 5.5

Area = 34.1 square feet.

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Answer:

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Answer:

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The rule is 3x
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