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victus00 [196]
2 years ago
10

Find the radius of this sphere. Then, calculate the volume of a sphere.

Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

if its diameter is 12, then its radius is half that or 6.

\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies V=\cfrac{4\pi (6)^3}{3}\implies V=\cfrac{4}{3}\cdot \pi \cdot 6^3 \\\\\\ V=\cfrac{864}{3}\cdot \pi \implies V=\cfrac{864}{3}\cdot 3.14\implies V\approx 904.32~cm^3

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Given f(x) = x^2 - 5x, find f(x-3)
Hoochie [10]

Answer:

f(x-3)= x^2 -11x +24

Step-by-step explanation:

We want to find an equivalent expression for f(x-3)

To do this, we can simply substitute every 'x' variable in f(x) by 'x-3'

Therefore f(x-3)= (x-3)^2 -5*(x-3)

Lets re arrange the expression by grouping terms.

f(x-3)=x^2 - 6x +9 -5x + 15

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3 0
3 years ago
PLEASE ANSWER!!!!!! REALLY IMPORTANT
faust18 [17]

<u>Answer-</u>

<em>The height of the prism is</em><em> 6 units</em>

<u>Solution-</u>

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

V_{Prism}=Area_{Base}\times Height

And,

Area_{Base}=2\times \text{Area of the trapezoid}

Also,

\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})

=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}

Putting all the values,

V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height

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\Rightarrow 39\times Height=234

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8 0
3 years ago
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Are these ratios equivalent?
masya89 [10]

Answer:

A, yes.

Step-by-step explanation:

63:60, 21:20:

The difference between 60 and 20 is *3. If you do that to 21, you get 63. So a , yes.

3 0
3 years ago
Please answer it now in two minutes
nata0808 [166]

Answer:

C = 28.9

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

cos(C) = \frac{7}{8}

cos(C) = 0.875

C = cos^{-1}(0.875)

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(To nearest tenth)

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3 years ago
Which value of the x is in the solution set of the following inequality -x+8&gt;6
vfiekz [6]
The answer would be 1
7 0
3 years ago
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