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mafiozo [28]
3 years ago
9

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

7 0
3 years ago
What is the solution to this equation?<br><br> 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 %

<em><u>Solution:</u></em>

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

<em><u>The formula used is:</u></em>

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

<em><u>Substituting the values we get,</u></em>

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

Thus percentage of votes claimed by Adam is 53.62 %

3 0
3 years ago
Cole wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled floor is 4 5 6 ft by 2 1 3 ft. Fi
Shtirlitz [24]

Answer:

Area = 49\frac{25}{36}

Step-by-step explanation:

Given

Tile

Length = 4\frac{5}{6}

Width = 2\frac{1}{3}

See attachment for dimension of the floor

Required

Determine the area covered by the carpet

From the attachment, the dimension of the floor is:

Length = 12\frac{1}{4}

Width = 5

Calculate Area

Area = Length * Width

Area = 12\frac{1}{4} * 5

Area = 61\frac{1}{4}

The area of the tiles is:

Area = 4\frac{5}{6} * 2\frac{1}{3}

Area = \frac{29}{6} * \frac{7}{3}

Area = \frac{203}{18}

Area = 11\frac{5}{18}

So, the carpet area is:

Area = Floor\ Area - Tile\ Area

Area = 61\frac{1}{4} - 11\frac{5}{18}

To improper number

Area = \frac{245}{4} - \frac{208}{18}

Take LCM

Area = \frac{2205 - 416}{36}

Area = \frac{1789}{36}

Area = 49\frac{25}{36}

7 0
3 years ago
1 &amp; 2
sveta [45]
The value of x is 13 for the first attachment. 
5 0
3 years ago
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