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tamaranim1 [39]
3 years ago
11

Is 2/13 a repeating decimal

Mathematics
1 answer:
Cloud [144]3 years ago
8 0

The denominator 13 cannot be factored so that only 2's and 5's show up, so this means that 2/13 is a non-terminating decimal. Therefore, this decimal repeats itself

Use a calculator to see that: 2/13 = 0.153846  153846  153846 ....

The spaces are put in to help make the number more readable. Note how the "153846" keeps repeating forever

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T+b = 41<br> t = 2b+2<br> Solve for t and b
erastovalidia [21]

Answer: b=13, t=29

Step-by-step explanation:

Substituting the first equation into the second,

2b+2+b=41\\\\3b+2=41\\\\3b=39\\\\b=13\\\\\implies t=2(13)+2=29

3 0
1 year ago
A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the
hoa [83]

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A\hat OC = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

8 0
3 years ago
Angela left for work at 8:30 a.m. She returned to school at 11:30 a.m. How long was Angela at work?
Dimas [21]

Answer:

Angela was at work for 15 hrs.

8 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
Name the plane represented by the front of the box.
andre [41]

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

3 0
2 years ago
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