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Dimas [21]
3 years ago
8

r=4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

r = \sqrt[3]{\frac{4}{3} }

Step-by-step explanation:

-r + (3r^2 + 1)r = 4\\-r + 3r^3 + r = 4\\3r^3 = 4\\r^3 = \frac{4}{3} \\\\r = \sqrt[3]{\frac{4}{3} }

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A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

V = w\cdot h \cdot l

Where:

w - Width

h - Height

l - Length

If dimensions are doubled, then volume is increased in a factor of 8:

V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)

V_{f} = 8\cdot w \cdot h \cdot l

V_{f} = 8 \cdot V_{o}

The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

3 0
3 years ago
4x + 33 = 10x + 3 <br> show your work
asambeis [7]

Answer:

on 4x + 33 = 10x + 3, we could use inverse operation and move 10x to left side, which will create -6x+33=3. we could also use the same thing to 33 and get -6x=-30. if we divide -30 by -6, we would get 5

Step-by-step explanation:

7 0
2 years ago
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U have 12 dogs all but 8 dogs died how many dogs are still alive
mash [69]
8 dogs are still alive because you take away 4 from 12 which equals 8
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2 years ago
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How many foci does the graph of a hyperbola have
Darina [25.2K]
They Have 2: <span>Like an ellipse, an hyperbola has two foci and two vertices; unlike an ellipse, the foci in an hyperbola are further from the hyperbola's center than are its vertices: The hyperbola is centered on a point (h, k), which is the "center" of the hyperbola. hope this helps c:</span>
4 0
2 years ago
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Hays is standing outside on a sunny day. He is 6 ft tall and casts a 4 ft shadow. What is the distance from the top of Hays' hea
IceJOKER [234]
7.2 will be the answer

we use phyagerous thereom 

D^2 = 6^2 + 4^2
     = sq. root of 52
     = 7.2

hope it help\ed
5 0
2 years ago
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