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frez [133]
3 years ago
13

Can someone turn 2,724.7 into a scientific notation?

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

Answer:

2.7247 x 10^3

Step-by-step explanation:

Move the decimal as many spaces to the left until it is behind the first number.

Count how many spaces you moved.

Put that number as the power of x 10^?

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Please help me with this
mafiozo [28]

Answer:

<h2>a. 10cm</h2><h2>b. 5 cm</h2><h2>c. 31.4 cm</h2><h2>d. 78.5 cm²</h2><h2>e. 100 cm²</h2>

Step-by-step explanation:

Let:

<em>s - </em><em>side of the square</em>

<em>d - </em><em>diameter of the circle</em>

<em>r - </em><em>radius of a circle</em>

<em>C - </em><em>circumeference of the circle</em>

<em>AC - </em><em>area of the circle</em>

<em>AS - </em><em>area of a square</em>

The formula of a perimeter of a square:

<em>P = 4s</em>

We have <em>P = 40cm.</em>

Substitute:

<em>4s = 40              </em><em>divide both sides by 4</em>

<em>s = 10 cm</em>

a.

The length of the diameter of the circle inscribed in the square is equal to the length of the side of the square.

Therefore <em>d = s → d = 10 cm.</em>

b.

The length of the circle diameter is two lengths of the circle radius.

Therefore <em>d = 2r → r = d : 2 → r = 10 : 2 = 5 cm.</em>

c.

The formula of a circumference of a circle:

<em>C = dπ.</em>

Substitute <em>d = 10cm</em>, and <em>π = 3.14.</em>

<em>C = 10(3.14) = 31.4 cm.</em>

d.

The formula of an area of a circle:

<em>AC = πr²</em>

Substitute <em>r = 5cm</em> and <em>π = 3.14</em>

<em>AC = 3.14(5²) = 3.14(25) = 78.5 cm²</em>.

e.

The formula of an area of a square:

<em>AS = s²</em>

Substitute <em>s = 10 cm</em>

<em>AS = 10² = 100 cm²</em>

6 0
4 years ago
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer. Explain answer
Alenkinab [10]

Answer:

Its odd

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
In the diagram, angle abc is a right angle. Find the value of x<br><br> Show full working out pls ty
Vladimir79 [104]

Answer:

x = 3.75

Step-by-step explanation:

ABC is a right angled triangle.

Therefore, by Pythagoras theorem:

{(10 - x)}^{2}  =  {x}^{2}  +  {5}^{2} \\ 100 - 20x +  {x}^{2}   =  {x}^{2}  + 25 \\ 100 - 20x = 25 \\  - 20x = 25 - 100 \\  - 20x =  - 75 \\ x =  \frac{ - 75}{ - 20}  \\   \:  \: \huge \red { \boxed{x = 3.75}}

5 0
3 years ago
Families USA, a monthly magazine that discusses issues related to health and health costs, survey 19 of its subscribers. It foun
s344n2d4d5 [400]

Answer:

a

   $10,151   <  \mu  $11448.12

b

  n =  158

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  =  19

    The  sample mean is  \= x  =$10,800

     The  standard deviation is  \sigma  =$1095  

    The  population mean is  \mu  =$225

     

Given that the confidence level is 99%  the level of significance is mathematically represented as

       \alpha  =  100 -99

      \alpha  = 1%

=>    \alpha =  0.01

Now the critical values of \alpha  = Z_{\frac{\alpha }{2} } is obtained from the normal distribution table as

        Z_{\frac{0.01}{2} } =  2.58

The reason we are obtaining values for \frac{\alpha }{2} is because \alpha is the area under the normal distribution curve for both the left and right tail where the 99% interval did not cover while \frac{\alpha }{2}  is the area under the normal distribution curve for just one tail and we need the  value for one tail in order to calculate the confidence interval

Now the margin of error is obtained as

     MOE  =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

    MOE  =  2.58*  \frac{1095 }{\sqrt{19} }

     MOE  =  648.12

The  99% confidence interval for the population mean yearly premium is mathematically represented as

    \= x -MOE  <  \mu <  \= x +MOE

substituting values

   10800 -648.12  <  \mu <  10800 + 648.12

    10800 -648.12  <  \mu <  10800 + 648.12

   $10,151   <  \mu  $11448.12

The  largest sample needed is mathematically evaluated as

      n =  [\frac{Z_{\frac{\alpha }{2}    } *  \sigma }{\mu} ]

substituting values

       n =  [    \frac{ 2.58  *  1095}{225} ]^2

      n =  158

6 0
4 years ago
Triangle S and triangle L are scaled copies of one another,what is the scale factor from S to L
Naddika [18.5K]

The scale factor is 2

L = 2 * S

4 0
3 years ago
Read 2 more answers
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