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Serga [27]
3 years ago
5

The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.

Mathematics
1 answer:
NeX [460]3 years ago
5 0
By definition, the volume of a sphere is:
 V =  \frac{4}{3}  (\pi) (r ^ 3)

 Where,
 r: sphere radio
 Substituting values we have:
 V =  \frac{4}{3}(3.14)(( \frac{21.6}{2} ) ^ 3)

 V = 5273.99424
 Rounding the result to the nearest tenth:
 V = 5274.0 cm ^ 3
 Answer:
 the sphere's volume is:
 V = 5274.0 cm ^ 3
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Find an equation of the circle that satisfies the given conditions:
Anna71 [15]
<span>Given the two end of the diameter of the circle, we are able to compute the center of the circle as 0.5*[(-1,3)+(7,-7)]=(3,-2). The radius of the circle is 0.5*sqrt[(-1-7)^2+(3+7)^2]=sqrt(41). Therefore the equation of the circle is (x-3)^2+(y+2)^2=41.</span>
5 0
3 years ago
What is the equation of the line written in general form
Vesnalui [34]

Answer:

y = -x + 2.

or

x + y - 2 = 0 (Standard form).

Step-by-step explanation:

Its slope (m) is -1 and y intercept (c) is at y = 2.

y = mx + c

So it's:

y = -1x + 2

Standard form is:

x + y - 2 = 0.

I'm not sure what you mean by General Form.

5 0
2 years ago
If the local linear approximation of f(x) = 2cos x + e^2x at x = 2 is used to find the approximation for f(2.1), then the % erro
yKpoI14uk [10]

<u>Answer-</u>

The % error of this approximation is 1.64%

<u>Solution-</u>

Here,

\Rightarrow f(x) = 2\cos x + e^{2x}

\Rightarrow f'(x) = -2\sin x + 2e^{2x}

And,

\Rightarrow f(2) = 2\cos 2 + e^{4}

\Rightarrow f'(2) = -2\sin 2 + 2e^{4}

Taking (2, f(2)) as a point and slope as, f'(2), the function would be,

\Rightarrow y-y_1=m(x-x_1)

\Rightarrow y-(2\cos 2 + e^{4})=(-2\sin 2 + 2e^{4})(x-2)

\Rightarrow y=(-2\sin 2 + 2e^{4})(x-2)+(2\cos 2 + e^{4})

The value of f(2.1) will be

\Rightarrow y=(-2\sin 2 + 2e^{4})(2.1-2)+(2\cos 2 + e^{4})

\Rightarrow y=(-2\sin 2 + 2e^{4})(0.1)+(2\cos 2 + e^{4})

\Rightarrow y=64.5946

According to given function, f(2.1) will be,

\Rightarrow f(2.1) = 2\cos 2.1 + e^{2(2.1)}

\Rightarrow f(2.1) = 65.6766

\therefore \%\ error=\dfrac{65.6766-64.5946}{65.6766}=0.0164=1.64\%

5 0
3 years ago
Can you help me please?
skad [1K]

Answer:

U= 53-degrees because of the definition of a straight angle

V=74-degrees

Step-by-step explanation:

5 0
3 years ago
I need help can anyone help me with this pls
Cerrena [4.2K]
It might be 2.5 but I could be wrong
3 0
2 years ago
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