Answer:
2.537 x 10¹⁵ miles
Step-by-step explanation:
We are given the following:
1 light year = 5.9 x 10¹² miles
Distance of the star = 4.3 x 10² light years
To get this we just convert the distance of the star in light years into miles.
![4.3\times10^2\hspace{2}lightyears\times\dfrac{5.9\times10^{12}miles}{1\hspace{2}lightyear}](https://tex.z-dn.net/?f=4.3%5Ctimes10%5E2%5Chspace%7B2%7Dlightyears%5Ctimes%5Cdfrac%7B5.9%5Ctimes10%5E%7B12%7Dmiles%7D%7B1%5Chspace%7B2%7Dlightyear%7D)
We cancel out the light years and then we are left with:
![(4.3\times10^2)\times(5.9\times10^{12}miles)](https://tex.z-dn.net/?f=%284.3%5Ctimes10%5E2%29%5Ctimes%285.9%5Ctimes10%5E%7B12%7Dmiles%29)
In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.
Coefficients:
4.3 x 5.9 = 25.37
Exponents of 10:
10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴
Then we combine them again to form a scientific notation:
25.37 x 10¹⁴
But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.
The answer will then be:
2.537 x 10¹⁵ miles
Naomi record total of 11 1/4 hours so I convert the hours to decimal form for easier easier division 11.25. divide 135 by 11.25 and get $12 an hour
Answer:
i dont know
Step-by-step explanation:
i hate history
Do 3 x 3, which equals 9. Now put the Exponent of 3 next to the 9. Do 9 x 9 x 9, which is 81 x 9, which is 729.
To answer this item, we may divide the given figure into two: (1) upper portion and (2) lower portion.
We solve first for the area of the lower portion figure, that is a rectangle with height equal to 1 unit and length of 5 units.
The area of a rectangle is calculated by multiplying its dimensions as shown in the formula below.
Area = Height x Length
Substituting,
Area = (1 unit) x (5 units) = 5 unit squared
Next, we have the second figure, upper portion. The length of this figure is given to be 2 units. The height is equal to 5 units - 1 unit because the 1 unit was already covered in the first figure. Thus, the height is equal to 4 units.
Solving for the area,
Area = (4 units)(2 units) = 8 units squared
Then, adding up both areas,
total area = (5 unit squared) + (8 unit squared) = 13 units squared
<em>ANSWER: 13 unit squared</em>