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Ugo [173]
3 years ago
7

2/3 of a full rotation

Mathematics
2 answers:
Vlad [161]3 years ago
6 0
A full rotation is represented by 360 degrees or 2pi radians, so

2/3 of a full rotation is repr. by (2/3)(360 deg) or (2/3)(2pi rad).  (Simplify these.)

bagirrra123 [75]3 years ago
4 0

Answer:

<h2>2/3 of a full rotation<u><em> is 240°.</em></u></h2>

Step-by-step explanation:

A full rotations is doing spinning 360° around a fixed point which is called "center".

So, if a full rotation is 360°, how many degrees would be 2/3 of 360°?

To answer this question, we just need to multiply the fraction with the full rotation:

\frac{2}{3}360\°=240\°

Therefore, 2/3 of a full rotation is 240°.

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The mass of a block of stone is 2,000 kg. If the block has a volume of 0.5m
rodikova [14]
Density = Mass / Volume = 2000/0.5
Density = 4000 Kg/m^3 
4 0
3 years ago
A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu
Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

\text{Volume of cone}=\frac{1}{3}\pi r^2 h, where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be r=\frac{3}{2}=1.5.

\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}

\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}

\text{Volume of cone}=\pi\times 6\text{ m}^3

\text{Volume of cone}=18.8495559\text{ m}^3

Now we will multiply total volume by $414 to find total cost.\

\text{Total cost of soybeans}=\$414 \times 18.8495559

\text{Total cost of soybeans}=\$7803.7161426

\text{Total cost of soybeans}\approx \$7803.72

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0
3 years ago
The quotient of a number t and 4.2 is at most 15.​
frosja888 [35]

Answer:

t \leq 63

Step-by-step explanation:

Quotient of two numbers also means the result of the two numbers after division.

If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;

\dfrac{t}{4.2}\leq  15 <em>(note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)</em>

<em></em>

On solving the inequality for the variable t

\dfrac{t}{4.2}\leq  15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq  15 * 4.2\\\\t \leq 63

<em>Hence t is at most 63</em>

6 0
3 years ago
Simplify the expression:<br><br> 5(–5 + 3u) =
Minchanka [31]

Answer:

-25+15u

Step-by-step explanation:

all you need to do is distribute the 5 to everything in the parenthesis!

6 0
3 years ago
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Answer:

1 : 3

Step-by-step explanation:

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