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marta [7]
2 years ago
13

Describe how you can tell that a fraction is reapeating and not terminating

Mathematics
1 answer:
GREYUIT [131]2 years ago
7 0
<span> First, reduce the fraction to lowest terms, e.g. 8/6 = 4/3.

Look at the denominator. Split it into its prime factors. If its prime factors only consist of 2's and 5's, then it will be terminating.

Examples:
16 = 2 x 2 x 2 x 2, so terminating
25 = 5 x 5, so terminating
2000 = 2 x 1000 = 2 x (2 x 5) x (2 x 5) x (2 x 5), so terminating
12 = 2 x 3, so repeating (has prime factor 3, which is not 2 or 5)
13 = 13, so repeating (has prime factor 13, which is not 2 or 5)  Hope this helps!!

</span>
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A cylindrical oil drum has a diameter of 2 feet and a height of 3 feet what is the volume of the oil drum?
NikAS [45]
We know, Volume of a Cylinder = πr²h

Here, r = 2/2 = 1 ft
h = 3 ft

Substitute their values, 
v = 3.14 * (1)² * 3
v = 9.42 ft³

In short, Your Answer would be: 9.42 Ft³

Hope this helps!
4 0
3 years ago
Use complete sentences to describe why Set A = { X | X is an even whole number between 0 and 2} = ∅
RoseWind [281]

Consider the Set A = {X | X is an even whole number between 0 and 2 } = \Phi.

Since, whole numbers are the set of numbers starting from zero upto infinity.

Even numbers are the numbers which are exactly divisible by '2'.

So, we have to find the even whole number between 0 and 2.

Since, only '1' is a whole number between 0 and 2 which is not an even number as '1' is not divisible by '2'.

Therefore, there is no even whole number between 0 and 2.

So, this set is empty.

Therefore, A = { X | X is an even whole number between 0 and 2} =  \Phi

3 0
2 years ago
Read 2 more answers
Use your knowledge of similar triangles to explain why the construction in the image divides the line segment into equal parts.
strojnjashka [21]

Answer:

This image show how to divide a given line segment into a number of equal parts by using a compass and  ruler. First, draw the line AB. Secondly, draw a line above and divide into 5 equal distances to make a line AC. Third, using a compass by getting the distance of point C and B to be equal in the distance of point A and D, also getting the distance of point C to A to be equal to point B and D, then to make the Line DB. Finally divide into 5 equal parts by compass.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The cost of 90 kg of rice is 4500. what is the cost of 2 quintal of rice?​
gayaneshka [121]

Answer:

The cost of 2 quintal of rice is $10,000.

Step-by-step explanation:

To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.

Now, to determine the cost per kilogram of rice, the following calculation is required:

4,500 / 90 = X

50 = X

Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.

5 0
3 years ago
Can atriangle be formed with side lengths of 5cm. 10cm and 15cm
andreyandreev [35.5K]
Theorem of cosine:
a²=b²+c²-2bc(cos α)  ⇒cos α=-(a²-b²-c²) / 2bc

In this case:
a=15 cm
b=10 cm
c=5 cm

cos α=-(15²-10²-5²) / 2*10*5
cos α=-100 / 100
cos α=-1

A=arc cos -1=180º  This is impossible, because:

A+B+C=180º; then  B=C=0º  This is impossible for make a triangle  (B>0 and C>0 if we want to make a triangle).  

Therefore: it is not possible can make a triangle with side lengths of 5 cm, 10 cm and 15 cm.

3 0
3 years ago
Read 2 more answers
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