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SCORPION-xisa [38]
4 years ago
8

A sold sphere has volume 42pie. Find the radius of the sphere

Mathematics
1 answer:
Over [174]4 years ago
7 0

Answer:

The Radius of sphere is 3.15 unit  

Step-by-step explanation:

Given as,

Volume of Sphere = 42 \pi    unit³

From the Volume of Sphere = \frac{4}{3} \pi r³

Where r is the radius of Sphere

So , 42 \pi  = \frac{4}{3} \pi r³

Or,  42  = \frac{4}{3} r³

Or ,  r³ = (\frac{42 \times 3}{4})

Or,   r³ = 31.5

Or, Radius = \sqrt[3]{31.5} = 3.15 unit

Hence the Radius of sphere is 3.15 unit   Answer

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Find an angle between 0 and 2pi coterminal with 35pi/6
Leona [35]
For the answer to this question, we have to solve it step by step.
We have to divide both sides by 35.<u>
35π</u> = <u>35(180)</u><u>
</u> 35        35
<u>
</u>= 1050°

1050° - 360° - 360° = 330°
If you would graph it, it would be -30 ° and it is coterminal

I hope my answer helped you somehow
3 0
3 years ago
What is the distance between (4, 3) and (9, 15) on the coordinate plane?
nalin [4]

Answer:

169

Step-by-step explanation:

3 0
3 years ago
in the fall semester of 2003, the average graduate management admission test (GMAT) of the students at UTC was 500 with a standa
MAVERICK [17]

Answer:

The 2003 scores have a higher coefficient of variation, so they are more dispersed

Step-by-step explanation:

We have to find the coefficient of variation(CV) for both these tests.

CV = \frac{\sigma}{\mu}

In which \mu is the mean and \sigma is the standard deviation.

Whoever has the higher CV has the higher variation, that is, is more dispersed.

2003

\mu = 500, \sigma = 80

CV = \frac{\sigma}{\mu} = \frac{80}{500} = 0.16

2004

\mu = 560, \sigma = 84

CV = \frac{\sigma}{\mu} = \frac{84}{560} = 0.15

The 2003 scores have a higher coefficient of variation, so they are more dispersed.

3 0
4 years ago
A)The equation of a line β is 2x-3y=6
deff fn [24]

Answer:

a) 2/3

b)y =  \frac{2}{3} x + 5

Step-by-step explanation:

b) From my previous answer...

Since parallel lines have the same gradient,

the gradient of the line is 2/3 too.

Thus, m= 2/3.

y= 2/3x +c

Now substitute a coordinate into the equation to find c, the y-intercept.

When x=6, y=9,

9= (2/3)(6) +c

9= 4 +c

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Thus the equation of the line is y= 2/3x +5.

4 0
3 years ago
Find the distance between points 5,9 and (7,-7) using the distance formual
mart [117]
========================================
Formula to find Distance:
========================================
\text{Distance = }  \sqrt{X2-X1)^2 + (Y2-Y1)^2}

========================================
Find Distance between (5, 9) and (7, -7):
========================================

X2 = 5, X1 = 7, Y2 = 9, Y1 = -7, therefore,

\text{Distance = }  \sqrt{(9+7)^2 + (5-7)^2}
\text{Distance = }  \sqrt{(16)^2 + (2)^2}
\text{Distance = }  \sqrt{256 + 4}
\text{Distance = }  \sqrt{260}
\text{Distance = } 16.12 \text{ units}

========================================
Answer: 16.12 units
========================================
5 0
3 years ago
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