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SVEN [57.7K]
3 years ago
7

3.478 / 37 = ____ can someone explain how to do it I don't understand long division :,)

Mathematics
1 answer:
DiKsa [7]3 years ago
5 0

Answer:

.094

Step-by-step explanation:

Long division is really annoying, so here we go. Have it written on your paper and follow along.

When doing long division, you want to ignore the decimal until the very end. So how many times does 37 fit into 34? It doesn't, so write a 0 on top. Instead ask how many times it can fit into 347. It can only fit 9 times, so write the 9 next to the 0. Now multiply 37 times 9, since it can fit in 9 times. Place that number (333) under the 347. Subtract that and write the new number underneath (14). Bring down the 8 and add it to the end of your new number (now 148). How many times does 37 fit into 148? It goes in 4 times perfectly. Write the 4 on top, and now multiply 4 times 37, since it goes in 4 times. Put that number (148) below the original 148, subtract, and they cancel out. You're done with the problem! Add the decimal back in. Since there 3 numbers after the decimal in 3.478, the decimal will go before 3 numbers in your answer. Hope this helped!

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Answer:

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Sydney needs $450 to buy a TV for her room.she already saved $50. She earns $20 an hour at her job.set up and solve an equation
Rudik [331]
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8 0
3 years ago
A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
3 years ago
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elixir [45]

Answer:

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Step-by-step explanation:

Let the number of adult and children tickets sold be x and y respectively

So that

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Solving equation 1 and 2 simultaneously we have

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So solve for x let us put y= 128 in equation 1

x+ 128=253

x=253-128

x= 125 tickets

8 0
3 years ago
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