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Ludmilka [50]
3 years ago
7

What is the process for converting a fraction to a decimal?

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0
Well to convert a fraction to a decimal you need to go back to what fractions are. Basically, a fraction is a “piece” of a total—exactly as division would come out to be a piece of a total. If you had 2/7 as a fraction, simply divide 2 by 7 and you have a decimal. The way you’d do this is 7 doesn’t go into 2, so you put a 0 as the first number. Then add a .0 after the 2 to get 2.0. Well, 7 DOES go into 20. It goes in 2 times. Subtract 14 (2 times of 7) from the 20 to get 6. Add another 0 to the end of the 2.0 and drag it down to the 6. Now you have 60 and 7 goes into that 8 times. Subtract 56 from 60 (7 times 8 is 56) to get 4. Add another 0 to the 2.00 and drag it down to the 4 to get 40. 7 goes into 40 5 times. Then 5 remaining—drop another 0–7 goes into 50 7 times—remaining is 1–drop another 0. 7 goes in once—remaining 3–drop another 0–7 goes in 4 times. Now you’re stuck at another 20.. we already did 20. This means the digits you just got will repeat indefinitely. Therefore, the answer would be:

0.285714
With a line over 285714 to show it repeats forever. (It would basically be this if you kept going: 0.285714285714285714....)

So 2/7 in fraction form is 2/7; and in decimal form it is 0.285714 (285714 w/ line over it to signify repeating)
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1) A projectile is thrown upward so that its distance above the ground after t seconds is
leonid [27]

Answer:

After 22 seconds the projectile reach its maximum height of 4,840 units

Step-by-step explanation:

we have

h(t)=-10t^{2}+440t

This is a vertical parabola downward (because the leading coefficient is negative)

The vertex is a maximum

Find out the coordinates of the vertex

Convert the quadratic equation in vertex form

Factor -10

h(t)=-10(t^{2}-44t)

Complete the square

h(t)=-10(t^{2}-44t+22^2)+(10)(22^2)

h(t)=-10(t^{2}-44t+22^2)+4,840

Rewrite as perfect squares

h(t)=-10(t-22)^{2}+4,840

The vertex is the point (22,4,840)

therefore

After 22 seconds the projectile reach its maximum height of 4,840 units

4 0
3 years ago
What is illinois basketball currently ranked in their region?
AlekseyPX

Answer:

They are currently ranked 5.

7 0
3 years ago
The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using?
hjlf

Answer:

\frac{1m}{4cm}

Step-by-step explanation:

First write the problem out as a fraction.

\frac{4}{16}

Next see if there is a GCF

4:1,2,4

16:1,2,4,8,16

Finally divide the numerator and denomenator by the GCF

\frac{4}{16} /4=\frac{1}{4}

4 0
2 years ago
Which equation represents the volume of a cone with the same base and height as the cylinder below? A cylinder with a height k a
Igoryamba

Answer: The correct answer is Volume Cone = one-third pi t squared k

Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.

The volume of a cylinder is given as;

Volume cylinder = pi x r squared x h (that is πr²h)

Also the volume of a cone is given as;

Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)

However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.

Therefore the volume of the cone should now be re-written as;

Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>

3 0
3 years ago
Read 2 more answers
How tall is the tree?<br> 5ft<br> 35°<br> -20ft-<br> [? ]ft
SVEN [57.7K]

Answer:

  • \boxed{\bf 19ft}

Step-by-step explanation:

\bf tan\:\theta =\cfrac{opp}{adj}

\bf tan(35^o)=\cfrac{x}{20}

\bf 20\;tan (35^o)=x

\bf 14ft=x

<u>The height of the tree:-</u>

  • \bf x+5ft
  • \bf 14ft+5ft
  • \bf 19ft
3 0
2 years ago
Read 2 more answers
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