MATHEMATICS HIGH SCHOOL

Distances in space are measured in light-years. The distance from Earth to a star is 4.1 × 1013 kilometers. What is the distance, in light-years, from Earth to the star (1 light-year = 9.46 × 1012 kilometers)?0.23 light-year
2.36 light-years
4.33 light-years
5.36 light-years

Answers

Answer 1
Answer:

Answer:

The distance, in light-years, from Earth to the star is 4.33 light- years.

Step-by-step explanation:

As given

Distances in space are measured in light-years.

The\ distance\ from\ Earth\ to\ a\ star\ is\ 4.1* 10^(13)\kilometers.

1 light-year = 9.46* 10^(12)\ kilometers

As

1\ kilometer = (1)/(9.46* 10^(12)) \ light\ years

Thus

4.1* 10^(13)\ kilometer = (4.1* 10^(13))/(9.46* 10^(12)) \ light\ years

by using the exponent property .

(x^(a))/(x^(b)) = x^(a-b)

4.1* 10^(13)\ kilometer =0.433* 10^(13-12) \ light\ years

4.1* 10^(13)\ kilometer =0.433* 10^(1) \ light\ years

4.1* 10^(13)\ kilometer =(433)/(1000) * 10^(1) \ light\ years

4.1* 10^(13)\ kilometer =(433)/(100)\ light\ years

4.1* 10^(13)\ kilometer = 4.33\ light\ years

Therefore the distance, in light-years, from Earth to the star is 4.33 light- years.
Answer 2
Answer: How many 'light years distance' can fit in the distance from earth to the star

So we have to divide:

4.1 x 10^13 / 9.46 x 10^12 = 4.33

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20/9 ; the probability that the Seahawks will defeat the Raiders.

11/20 ; the probability that the Seahawks will defeat the Raiders.

0.45 ; the probability that the Seahawks will not defeat the Raiders.

Answers

Answer:

D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

Step-by-step explanation:

The complement of an event A is the set of all outcomes in the sample space that are not included in the outcomes of event A.

The Complement Rule states that the sum of the probabilities of an event and its complement must equal 1, or for the event A, and its complement event \overline{A} always

Pr(A)+Pr(\overline{A})=1.

If Pr(A)=0.55, then

0.55+Pr(\overline{A})=1\n \nPr(\overline{A})=1-0.55=0.45.

Event A - the Seahawks will defeat the Raiders

Event \overline{A} - the Seahawks will not defeat the Raiders

Hence, correct choice is D: 0.45 ; the probability that the Seahawks will not defeat the Raiders.

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Answers

Answer:

x ≈ 55.0°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = (adjacent)/(hypotenuse) = (OP)/(OQ)  = (5.1)/(8.9) , then

x = cos^(-1) ( (5.1)/(5.9) ) ≈ 55.0° ( to the nearest tenth )

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Answers

Answer:

The correct answer for the question that is being presented above is this one: "233/100". When the decimal 2.33 written as a mixed number in simplest form, then the answer will 233/100. You just move the decimal point in 2.33 two places to the right. Since, there are two decimal places, therefore the denominator should be 100.



Step-by-step explanation:

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Answers

Answer:

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If this helped you let me know. If not, I will improve and make sure my work is correct. Have a nice day!

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answered already

8x-9y=11 Solve for y.

Answers

8x-9y=11
-9y=-8x+11
9y=8x-11
y=8/9x-11/9
sorry, thats as simplified as it can get with 2 variables in the equation

Answer:

y = 8/9x + -11/9

Step By Step:

Let's solve for y.  8x−9y=11

Step 1:

Add -8x to both sides.  

8x−9y+−8x=11+−8x

−9y=−8x+11

Step 2:

Divide both sides by -9.

-9y/-9 = -8+11/-9

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