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Alika [10]
3 years ago
5

If Mars has a diameter of approximately 4200 miles, what is the volume of Mars.

Mathematics
2 answers:
Alex777 [14]3 years ago
7 0

Answer:

Dimplified: 3.88×10^{10}, or 38,800,000,000

Unsimplified: 38,792,400,000

Step-by-step explanation:

Remember, the volume of a sphere is V=\frac{4}{3}\pi r^{3}

This comes into: 3.87924×10^{10}

As we know, the shape of mars is a sphere.

Let me know if you have a question, or if it lets you not have the ×10^{10}

lions [1.4K]3 years ago
3 0

Answer:

volume = 38,772,720,000 miles³

Step-by-step explanation:

r = 4200/2 = 2100

volume = 4/3πr³ = 4/3(3.14)(2100³) = 38,772,720,000 miles³

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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)
icang [17]

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

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It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

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There are three constant acceleration equations we can use:

y = y₀ + v₀ t + ½ at²

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We aren't given the time, so we need to use the third equation, which is independent of time:

v² = v₀² + 2a(y − y₀)

Plug in the values:

v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)

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Since the coin is on the way down, the velocity is negative.  So v = -24.8 m/s.

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