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3 years ago

This is an example of an arithmetic series: 6 + 8 + 10 + 12 + . . . + (4 + 2n) + . . .

1 answer:

8 0

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with common difference of 2.

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Earth revolves around the Sun in 365 days, but the planet Mercury does so in only 88 days. Compared to Earth, how many more comp

Elena L [17]

Answer:

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

Step-by-step explanation:

Earth takes 365 days to make a complete revolution.

we can say that the rotational speed of Earth is $\dfrac{1}{365}\frac{\text{rev}}{\text{day}}$

so, in a 1000 days how many revolutions will Earth have made?

$\dfrac{1}{365}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

see that the 'day's cancel out. Simply multiply the two numbers!

$2.739\text{rev}$

Next, do the same for Mercury

we can say that the rotational speed of Mercury is $\dfrac{1}{88}\frac{\text{rev}}{\text{day}}$

as it completes 1 revolution in 88 days.

so, in a 1000 days how many revolutions will Mercury have made?

$\dfrac{1}{88}\frac{\text{rev}}{\text{day}}\times(1000\,\text{day})$

multiplying by 1/88 by 1000 yields:

$11.363\text{rev}$

The Question is how many MORE complete revolutions will Mercury make in 1000 days?

We need to subtract the revolutions of Mercury with Earth to find how far ahead is Mercury from Earth

$11.363\text{rev} - 2.739\text{rev}$

$8.624\text{rev}$

In a 1000 days Mercury will make 8.624 more revolutions than Earth!

5 0

3 years ago

Which polygon has interior angles whose sum is 1440°? octagon nonagon decagon 11-gon

ArbitrLikvidat [17]

Answer:

Decagon

Step-by-step explanation:

We can use the general equation to determine the sum of interior angles:

$I.A. = 180 \times (n-2)$

Since we know the sum of interior angles (I.A.) is 1440°, we must figure out n - the number of sides and so:

$1440=180(n-2)\\\\\frac{1440}{180}=n-2\\\\8=n-2\\\\n=10$

Since n=10 this means that it is a 10 sided shape meaning it's a decagon.

5 0

3 years ago

Read 2 more answers

Kiran says that -2 is less than -5 . Do you agree with Kiran? Explain or show your reasoning.

fomenos

Answer:

Step-by-step explanation:

-2 is not less than -5 since -2 is more nearer to 0 than -5 hence -2 is greater and on the number line the number become greater as we move from left to right.

4 0

4 years ago

Angela decides to recycle a large oatmeal container by using it to hold a friends birthday gift. Then she wraps the container in

Deffense [45]

Answer:

D. 135.37 in²

Step-by-step explanation:

We have that the gift paper consists of two circles and a square.

Thus, we will need to find the area of the circles and the square.

Now, as the diameter of the circle = 4 inches

So, the radius of the circle = $\frac{4}{2}$ = 2 inches