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3 years ago

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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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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2 years ago

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Answer:

-24.8 m/s

Step-by-step explanation:

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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:

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