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1 year ago

A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .

Mathematics

1 answer:

maria [59]1 year ago

3 0

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

$V= \dfrac{4}{3} \pi r^3 \: \rm unit^3$

A glass marble has a diameter of 18 millimeters.

The radius is 9

$V= \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters$

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

Learn more about the volume of a sphere here:

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PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

(-3,0),(5,-2) find the slope

Mashcka [7]

Answer:

-4

Step-by-step explanation:

Point slope form: y - y = m (x - x)

5 - (-3) = m (-2 - 0)

5 + 3 = m (-2)

8 = m (-2)

m = 8/(-2)

m=4

3 0

3 years ago

Which of the following statements about perpendicular lines is true?

sammy [17]

The statement Perpendicular line intercept at 90 degree angle is true.

5 0

3 years ago

If 2.2x10^6 - 4.3x10^5 what does this equal

bearhunter [10]

Answer:

If the decimal is being moved to the left, the exponent will be positive. 1.77×10 ...

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Help me please help

Dmitry_Shevchenko [17]

That would be A :D It would be A because you would do keep change flip. You would keep 5/6, change the division sign to multiplication, then flip the 5/16 to 16/5 (the reciprocal)

7 0

3 years ago