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poizon [28]
3 years ago
6

Convert the decimal to a fraction. 0.6 repeating

Mathematics
2 answers:
NikAS [45]3 years ago
6 0

Answer: 2/3

Step-by-step explanation:

liraira [26]3 years ago
4 0
2/3






0.666... is equivalent to 2/3
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Collins spent $8 at lunch. He spent $24 on new shoes. His shoeswere how many more times expensive than his lunch
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Collins’ new shoes were 3 times the amount of his lunch. You’re welcome!

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Before any dinner service, the manager confirms when the number of reservations at a restaurant is subtracted from twice the num
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The Garcia family is driving from San Diego, California, to Bar Harbor, Maine. In 5 days, they have traveled 2,045 miles. At thi
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Priya's family exchanged 250 dollars for 4,250 pesos. Priya bout a sweater fo 510 pesos. How many dollars did the sweater cost?
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find the angle between the vectors. (first find the exact expression and then approximate to the nearest degree. ) a=[1,2,-2]. B
SashulF [63]

Answer:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

Step-by-step explanation:

For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.

a=[1,2,-2], b=[4,0,-3,]

The dot product on this case is:

a b= (1)*(4) + (2)*(0)+ (-2)*(-3)=10

Since the dot product is not equal to zero then the two vectors are not orthogonal.

Now we can calculate the magnitude of each vector like this:

|a|= \sqrt{(1)^2 +(2)^2 +(-2)^2}=\sqrt{9} =3

|b| =\sqrt{(4)^2 +(0)^2 +(-3)^2}=\sqrt{25}= 5

And finally we can calculate the angle between the vectors like this:

cos \theta = \frac{ab}{|a| |b|}

And the angle is given by:

\theta = cos^{-1} (\frac{ab}{|a| |b|})

If we replace we got:

\theta = cos^{-1} (\frac{10}{\sqrt{9} \sqrt{25}})=cos^{-1} (\frac{10}{15}) = cos^{-1} (\frac{2}{3}) = 48.190

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel

And the anfle is approximately \theta \approx 48

3 0
3 years ago
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