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WINSTONCH [101]
3 years ago
15

Give the angle measure represented by 4.5 rotations counterclockwise.

Mathematics
2 answers:
Bumek [7]3 years ago
8 0

Answer:

The angle measure represented by 4.5 rotations counterclockwise is 1620°

Step-by-step explanation:

Given :  The angle measure represented by 4.5 rotations counterclockwise.

To find : The angle

Solution :

We know that, In a circle the rotation is 360 degree

i.e, 1 rotation  = 360 degree

We have to find the angle measure  represented by 4.5 rotations counterclockwise.

4.5 \text{rotations} = 4.5\times 360^\circ

4.5 \text{rotations} = 1620^\circ

Therefore, The answer is 1620°.

Soloha48 [4]3 years ago
3 0
<span>1 rotation
= 360 degrees 4.5 rotations
 = 4.5 x 360 degrees
=1620
hope this helps </span>
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Solve the linear differential equation 2xy' + y = 2√x
77julia77 [94]

Answer:

Step-by-step explanation:

General form of the linear differential equation can be written as:

\frac{dy}{dx}+P(x)y=Q(x)

For this case, we can rewrite the equation as:

\frac{dy}{dx}+\frac{1}{2x}y=\frac{\sqrt{x}}{x}

Here P(x) =\frac{1}{2x}; Q(x)=\frac{\sqrt{x}}{x}

To find the solution (y(x)), we can use the integration factor method:

Fy(x)=\int Q(x)Fdx+C \rightarrow F=e^{\int P(x)dx

Then F=e^{\int \frac{1}{2x}dx}=e^{\frac{1}{2}\ln|x|\right}=\sqrt{|x|}

So, we can find:

y\sqrt{|x|}=\int \frac{\sqrt{x}\sqrt{|x|}}{x}dx+C

Suppose that x\in \double R, then \sqrt{|x|}=\sqrt{x} , and we find:

y\sqrt{x}=x+C \rightarrow y(x)=\sqrt{x}+\frac{C\sqrt{x}}{x}

To check our solution is right or not, put your y(x) back to the ODE:

y' = \frac{1}{2\sqrt{x}}-\frac{C}{2\sqrt{x^{3}}}

2xy'=\frac{x-C}{\sqrt{x}}

2xy'+y=\frac{x-C}{\sqrt{x}}+\sqrt{x}+\frac{C\sqrt{x}}{x}=2\sqrt{x}

(it means your solution is right)

3 0
2 years ago
What is 2/3 divided by 1/2
Karo-lina-s [1.5K]
If you would like to divide 2/3 by 1/2, you can do this using the following step:

2/3 / 1/2 = 2/3 * 2/1 = 4/3 = 1 1/3

The correct result would be 1 1/3.
8 0
4 years ago
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28.5 g of iron shot is added to a graduated cylinder containing 45.50 mL of water. the water level rises to the 49.10 mL mark. F
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Density=mass/volume.
1) we have to calculate the iron volume in liters.
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2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L

7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.

answer: From this information the Iron density is 7.92 Kg/L or  7.92 g/cm³.
5 0
4 years ago
Which function has the given properties below? The domain is the set of all real numbers.
shusha [124]

Answer: The function could be y= - 3 cos x

Solution:

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7 0
4 years ago
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Can you guys help me on this?
Burka [1]

Answer:

1/3

Step-by-step explanation:

there's 9 socks in total and  3 black socks so if it's simplyfied it would be 1/3

5 0
3 years ago
Read 2 more answers
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