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nalin [4]
3 years ago
10

I NEED HELP PLEASE, THANKS!! :)

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

The answer is

\frac{1372}{3} \pi \:  {cm}^{3}

Step-by-step explanation:

First you have to find the radius of sphere by dividing diameter by 2 :

radius = diameter \div 2

Let diameter = 14,

radius = 14 \div 2

radius = 7 \: cm

Next you have to use the volume of sphere formula :

v =  \frac{4}{3}  \times \pi \times  {r}^{3}

Let r = 7,

v =  \frac{4}{3}  \times \pi \times  {7}^{3}

v =  \frac{4}{3}  \times \pi \times 343

v =  \frac{1372}{3} \pi \:  {cm}^{3}

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algol13

Answer:  The required answers are

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

Step-by-step explanation:  We are given the following linear equation in two variables :

3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

y=mx+c, where m is the slope and c is the y-intercept of the line.

From equation (i), we have

3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.

Comparing with the slope-intercept form, we get

\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.

Thus,

(a) the slope of the given line is -\dfrac{3}{7}.

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is y=-\dfrac{3}{7}x+6.

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In your case,

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5 0
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The temperature in the core of the sun is 27,000,000 •F
AlekseyPX

Answer:

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Step-by-step explanation:

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The perpendicular bisector is a line that divides a line segment into two equal parts. It also makes a right angle with the line segment. Each point on the perpendicular bisector is the same distance from each of the endpoints of the original line segment.

Since, a perpendicular bisector is a line that divides a line segment into two equal parts.

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