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3 years ago

The planet Neptune orbits the Sun. Its orbital radius is 30.130.1 astronomical units (\text{AU})(AU).

Mathematics

2 answers:

Ronch [10]3 years ago

7 0

Answer: 189.028 AU.

Step-by-step explanation:

Given: The radius of the orbit = 30.1 AU

Since, the orbit is circular in shape, then the distance traveled by Neptune is given by:-

$\text{Circumference=}2\pi r\\\\\Rightarrow\ \text{Circumference=}2(3.14)\times(30.1)\\\\\Rightarrow\ \text{Circumference=}=189.028\text{ AU}$

Hence, the distance traveled by Neptune in a single orbit around the Sun = 189.028 AU.

Shalnov [3]3 years ago

4 0

Answer:

60.2π

Step-by-step explanation:

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Which equation represents a circle whose center is located at (- 6, 2) and whose radius is sqrt(10) units?

azamat

Answer:

${(x + 6)}^{2} + {(y - 2)}^{2}=10$

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r, is

${(x - a)}^{2} + {(y - b)}^{2} = {r}^{2}$

From the question, the center of the circle is located at (-6,2) and the radius is

$r = \sqrt{10}$

We substitute the center and radius to get:

${(x - - 6)}^{2} + {(y - 2)}^{2} = {( \sqrt{10} })^{2}$

Simplify to obtain:

${(x + 6)}^{2} + {(y - 2)}^{2}=10$

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3 years ago

What is the solution to this equation? 8x - 5 (x-3) = 18

Kaylis [27]

Answer:

x=1

Step-by-step explanation:

We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)

3 0

3 years ago

5000 people went to vote. Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes. What percentage does can

boyakko [2]

The percentage of votes claimed by Adam is 53.62 %

Solution:

Given that, 5000 people went to vote

Candidate Smith claimed 52% of the votes. Candidate Adams claimed 2681 votes

To find: Percentage claimed by Adam

From given,

Total number of votes = 5000

Votes claimed by Adam = 2681

The formula used is:

$Percentage\ claimed\ by\ Adam = \frac{\text{votes claimed by adam}}{\text{Total number of votes}} \times 100$

Substituting the values we get,

$Percentage\ claimed\ by\ Adam = \frac{2681}{5000} \times 100\\\\Percentage\ claimed\ by\ Adam = 0.5362 \times 100\\\\Percentage\ claimed\ by\ Adam = 53.62$