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vovangra [49]
3 years ago
11

Suppose that, in some distant part of the universe, there is a star with four orbiting planets . One planet makes a trip around

the star in 6 earth years , the second planet takes 9 earth years, the third takes 15 earth years and the fourth takes 18 earth years . Suppose that at some time the planets are lined up. How many years will it take for them to all line up
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

Answer: 90 Earth years.

Step-by-step explanation:

Analizing the information provided in the exercise, you need to find the Least Common Multiple (LCM) of the given numbers.

You can follow these steps:

1. You must descompose 6, 9, 15 and 18 into their prime factors:

6=2*3\\\\9=3*3=3^2\\\\15=3*5\\\\18=2*3*3=2*3^2

2. Finally, you need to choose the commons and non commons with their greatest exponents and multiply them. Then you get:

L.C.M=2*3^2*5=2*9*5\\\\L.C.M=90

Therefore, it will take 90 Earth years for them to all line up.

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Zielflug [23.3K]
1.92 cm = 15 cm
1.2 cm   =   ?  cm

\frac{15}{1.92} = \frac{?}{1.2}

15*1.2 = 1.92*?
18 = 1.92*?
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The answer is B


3 0
2 years ago
When x=1/2, what is the value of 8x-3/x
Viefleur [7K]
8x - 3/x

x = 1/2

(8 • 1/2) - 3/0.5

4 - 1.5

2.5
6 0
3 years ago
Each student in a classroom has chosen either a green, red, or blue marble and written their initials on it. In addition, some o
scoundrel [369]
A. 2/5 B. 1/3 just like the other person said lol
7 0
2 years ago
Matt cut a circle into 8 equal sections. He drew an angle that measures the same as the total measure of 4 of the sections in th
gulaghasi [49]

Answer:

The angle Matt drew = 180°

Step-by-step explanation:

The total angle formed by the 8 angles Matt drew in the circle equals 360° because one revolution of a circle is the same as the angle about a point which equals 360°.

Let the equal angles drawn = x

x + x + x + x + x + x + x + x = 360°

8 × x = 360°

8x = 360

x = 45°

∴ each angle drawn = 45°

Next, we are told that Matt drew another angle that has the same measurement as four (4) of the sections (angles) in the circle.

Finding the measure of this angle:

1 section in the circle = 45 (<em>shown above</em>)

∴ 4 sections = 45 × 4 = 180°

∴ The angle Matt drew = 180°

5 0
2 years ago
The perimeter of a rectangle is 20.2 CM and it's area is 24.4 cm squared what is its length and width
erma4kov [3.2K]

Answer:

Length of Rectangle = 4 cm    And

Width of Rectangle = 1.9 cm      

Step-by-step explanation:

Given as :

The perimeter of rectangle = 20.2 cm

The area of rectangle is 24.4 cm

Let the length be L

And width be w

Now Area of rectangle = Length × width  

Or,  24.4 = L × W

And Perimeter = 2 (Length + Width ) = 2 (L + W )

Or,   20.2         = 2(L + W )

Or , L + W = 10.1 cm                   ............ 1

Now, (L - W )²  = (L + W)² -4 LW

Or,   (L - W )²  = ( 10.1)² -4 (24.4)

I.e    (L - W )² = 4.41

Or , L - W = 2.1 cm                    .............. 2

SO , From 1 and 2

( L + W) + (L - W) = 10.1 cm - 2.1 cm

Or, 2L = 8

∴  Length = 4 cm

Again , Width = 4 cm - 2.1 cm = 1.9 cm

Hence   Length of Rectangle = 4 cm    And

             Width of Rectangle = 1.9 cm       Answer

6 0
3 years ago
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