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4vir4ik [10]
3 years ago
14

How to solve in long division 82.14 divided by 6.

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer: 13.69

Step-by-step explanation:

82.14/6=

Multiply 82.14 by 100 to make it a whole number; since you're modifying the number, you must also multiply 6 by 100 in order to keep it balanced.

82.14*100/6*100

8214/600

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

Let's begin.

8214/600=13.69

600

----------

221'4

1800

--------

414'0

3600

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

540'0

5400

-----------

    -

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Given c=(2.4,0.45) and d = (7,-4) find the direction of 5c+4d
kakasveta [241]

Answer:

The direction of 5c + 4d is approximately 19.0° clockwise with

the positive part of x-axis

Step-by-step explanation:

* Lets talk about the direction of a vector

- If the vector is (x , y), then  

# Its magnitude is √(x² + y²)

# Its direction is tan^-1 (y/x)

- The direction is the angle between the positive part of x-axis and  

  the vector

* Lets solve the problem

∵ c = (2.4 , 0.45) and d = (7 , -4)

- To find 5c + 4d , multiply the two coordinates of c by 5 and the two

  coordinates of d by 4

# Multiply c by 5

∴ 5c = [5(2.4) , 5(0.45)]

∴ 5c = (12 , 2.25)

# Multiply d by 4

∴ 4d = [4(7) , 4(-4)]

∴ 4d = (28 , -16)

- Lets add 5c and 4d

∴ 5c + 4d = (12 , 2.25) + (28 , -16)  

∴ 5c + 4d = [(12 + 28) , (2.25 + -16)]

∴ 5c + 4d = (40 , -13.75)

- The vector is in the 4th quadrant because the x-coordinate is

 positive and the y-coordinate is negative

* Find the direction of 5c + 4d

∵ The direction is tan^-1 (y/x)

∴ The direction is tan^-1 (-13.75/40) = -18.97°

* The direction of 5c + 4d is approximately 19.0° clockwise with

 the positive part of x-axis

3 0
3 years ago
A factory robot recently examined some bulbs, of which 2 were flawed and 18 were not. If 30 more bulbs are examined, predict how
Oksanka [162]

Answer:

3 bulbs should be flawed

Step-by-step explanation:

2+ 18 = 20

20 bulbs were examined

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looking at the next 30 bulbs

30 * 1/10 = 3

3 of the next 30 bulbs should be flawed


5 0
3 years ago
Round each number to the underlined place. <br> 4.6666<br> The third 6 is underlined
Nadya [2.5K]
Hello There!

It would be 4.667.

Hope This Helps You!
Good Luck :)
3 0
3 years ago
Are these lines parallel perpendicular or neither
Natasha_Volkova [10]

Answer:

perpendicular

Step-by-step explanation:

start but putting each line into the standard line format

2x-y=-5

-y=-2x-5

y=2x+5

x+2y=-6

2y=-x-6

y=-(1/2)x-3

if lines are parallel the slopes would be the same. 2 is not equal to -1/2

if lines are perpendicular the slope of one would be the opposite inverse of the other.

negative inverse of 2 = - (1/2)

so the lines are perpendicular

8 0
3 years ago
Question in the picture. PLS HELP!! THANKS + 30 POINTS + BRAINLIEST
Andrej [43]

Answer:

C.  Lincoln Forest is at sea level

Step-by-step explanation:

Elevation above sea level is indicated for several points in the table

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So, the answer for Lincoln Forest is:

  • C.  Lincoln Forest is at sea level
4 0
3 years ago
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