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Blababa [14]
3 years ago
11

Un cometa es visible desde la tierra cada 24 años y otro, cada 36 años. El último año que fueron visibles conjuntamente fue en 1

944. ¿En qué año volverán a coincidir?
Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

Ambos cometas coincidirán en 2016.

Step-by-step explanation:

(The following exercise is presented in Spanish and for such reason explanation will be held in that language).

Sean t_{1} y t_{2} los años en los que se hacen visibles los cometas, respectivamente. Se sabe que los cometas coinciden cuando se pueden ver el mismo año, ese año estaría asociado al mínimo común múltiplo de ambos intervalos de tiempo, el cual sería igual a 72 años. Entonces, ambos cometas volverán a coincidir en 2016.

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The first pentagon is dilated to form the second pentagon.
Alex787 [66]

Dilation involves changing the size of a shape.

The scale factor of dilation is 2

<h3>How to determine the scale factor</h3>

From the figure, we have the following highlights

  • Both pentagons are regular polygons
  • The side lengths of the second polygon are twice the side lengths of the first

The second highlight above means that:

The scale factor of dilation is 2

Read more about dilation at:

brainly.com/question/3457976

5 0
2 years ago
Find the value of X to the nearest tenth.
kirill115 [55]

Answer:

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5 0
3 years ago
An airplane has a total of 414 packets of crackers, pretzels, and peanuts available for passengers.
zhenek [66]
There is no question in Part A, but i do what i can.

Part A.
We know that:

n - number of <span>packets of crackers
p -</span> <span>number of packets of pretzels

p = 2n+9

s - </span><span>number of packets of peanuts

s = 3p = 3(2n+9) = 6n+27

So:

n+p+s=414\\\\n+(2n+9)+(6n+27)=414\\\\9n+36=414\quad|-36\\\\9n=378\quad|:9\\\\\boxed{n=42}\\\\\\&#10;p=2n+9=2\cdot42+9=\boxed{93}\\\\s=6n+27=6\cdot42+27=\boxed{279}

There are 42 </span><span>packets of crackers, 93 </span><span>packets of pretzels and 279 packets of peanuts.

Part B.

x - number of rows with exactly 2 </span><span>passengers
y </span>- number of rows with exactly 3 <span>passengers

and:

\boxed{\begin{cases}x+y=48\\2x+3y=132\end{cases}}\\\\\\&#10;\begin{cases}x+y=48\quad|\cdot2\\2x+3y=132\end{cases}\\\\\\&#10;\begin{cases}2x+2y=96\\2x+3y=132\end{cases}\\\\--------(-)\\\\2x-2x+2y-3y=96-132\\\\-y=-36\\\\\boxed{y=36}\\\\\\x+y=48\\\\x+36=48\\\\x=48-36\\\\\boxed{x=12}

There are </span><span>12 rows with exactly 2 passengers and 36 rows with exactly 3 passengers.</span>
3 0
4 years ago
2 friends get 6 waffles each
mars1129 [50]

Answer: 12 waffles

Step-by-step explanation:

7 0
3 years ago
An angle measure 34 less than a complementary angle measure of each angle
FinnZ [79.3K]

Answer:

The unknown angle measures 56

Step-by-step explanation:

<u>Complementary Angles</u>:

Two angles are complementary when they add up to 90 degree.


An angle measure 34 less than a complementary angle. Which means angle one is 34 and angles two is 90 minus 34.


angle one + angle two = 90

34 + angle two = 90

angle two = 90 - 34

angle two = 56

7 0
3 years ago
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