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2 years ago

The diameter of a planet at its equator is 2730 kilometers.

Mathematics

1 answer:

yarga [219]2 years ago

8 0

Answer:

If the first question is indicating that the diameter of mercury is 4.88x10^3 kilometers, then to put this in standard notation you would move the decimal point three places to the right, which gives you 4880 kilometers.

For the second question, you have to count how many places to the right the decimal place needs to be moved to have a number in the ones place. In this case, that number is 4. Scientific notation would be 1.96x10^(-4) meters. For any number where the value is less than one, the ten will be to a negative power.

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Convert 4(cos(150°) + isin(150) into rectangular form.

salantis [7]

Answer:

The rectangular form of $4[cos(150^{o})+i sin (150^{o})]$ is $-2\sqrt{3}+2i$ .

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3 years ago

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Probability of uncertain event

zubka84 [21]

Answer:

50-50

Step-by-step explanation:

its the universal law

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3 years ago

A shooting star forms a right triangle with the Earth and the Sun, as shown below:

frez [133]

The positions of the sun, earth and shooting star form a right angled triangle, where distance between earth and sun is 'y', and the angle 'x°' is given

Now, in a right angled triangle using trigonometry, we can determine a side of the triangle is one of the sides and one of the angles is known

Here, if we use cos x = $\frac{Base}{Hypotenuse}$ we can determine the distance between the shooting star and the sun. This can be done because we know that the base is 'y', the angle is x° and the hypotenuse represents the distance between the sun and the shooting star

Note: cos values for each x are definite.

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3 years ago

A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned i

olganol [36]

Answer:

<u>Point C at (-18/7)</u>

Step-by-step explanation:

Point A is at -6 and point B is at 2.

So, the distance between A and B = 2 - (-6) = 8

point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4.

Let the distance AC = x

∴ BC = 8 - x

AC : CB = 3 : 4

∴ $\frac{AC}{CB} =\frac{3}{4} = \frac{x}{8-x}$

Using cross multiplication

3 (8-x) = 4x

24 - 3x = 4x

24 = 7x

x = 24/7

So, Point C = -6 + 24/7 = -18/7

Point C at (-18/7)

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3 years ago

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At the coffee shop, the ratio of cups of coffee sold to muffins was 2:7. If the shop sold 84 muffins, how many cups of coffee di

neonofarm [45]

Answer:

Step-by-step explanation:

84 divided by 7 equals 12.

12x2=24.

24 cups of coffe were sold.

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3 years ago