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3 years ago

The planet Mercury has a diameter of 4,878 km whereas the Moon has a radius of 1736.5 km. Which object is larger and why?

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

7 0

mercury is bigger because it the whole thing not half

zheka24 [161]3 years ago

3 0

First, to be able to compare these two things, you have to either find the radius of Mercury or find the diameter of the moon. I choose finding the diameter of the moon because it seems easier.

Diameter=radius*2
Diameter=1736.5*2=3473

The moon has a diameter of 3473 km.

Since Mercury's diameter, 4878km, is greater than the Moon's diameter, 3473km, Mercury is larger.

Hope this helps!

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4 years ago

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3 years ago

Write an equation in standard form of an ellipse that has a vertex at (0, 6), a co-vertex at (1, 0), and a center at the origin.

Alekssandra [29.7K]

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with

center (0 , 0) is x²/b² + y²/a² = 1

where,

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

* the coordinates of the foci are (0 , ± c), where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

4 0

2 years ago

How to find the indicated probability to this problem? This is a homework practice. Show your work. Thanks!

AlladinOne [14]

You want to find $P(\text{no exercise}\mid\text{woman})$ ; that is, given that you randomly choose from the pool of women, the probability that she does not exercise.

By definition of conditional probability,

$P(\text{no exercise}\mid\text{woman})=\dfrac{P(\text{no exercise AND woman})}{P(\text{woman})}$

496 of the total 1026 people are woman, and 341 of the 1026 people are women and do not exercise, so

$P(\text{no exercise}\mid\text{woman})=\dfrac{\frac{341}{1026}}{\frac{496}{1026}}=\dfrac{341}{496}=0.6875\approx0.688$

A simpler way of doing this is to look at what's called the marginal distribution of women in the table. Basically this comes down to ignoring all but the data pertaining to the women. There's a total of 496 women, and 341 of them do not exercise. So the probability that a given woman does not exercise is 341/496.

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3 years ago

Egor leaned a 20 foot ladder against a tall building.

Igoryamba

Answer: 72.7229270011772820092

Step-by-step explanation:

2x3=6 20x30=60

60x3.26578271926=19882.887297219

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3 years ago