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ddd [48]
3 years ago
15

Write an expression that represents the area of a circle with radius 3x^3. (For any circle with radius r, a=π r^2 = π .r .r ^.)

Mathematics
1 answer:
aalyn [17]3 years ago
6 0

9514 1404 393

Answer:

  B. 9πx^6

Step-by-step explanation:

Putting the given radius into the area formula gives ...

  A = πr^2

  A = π(3x^3)^2 = π(3^2)(x^(3·2))

  A = 9πx^6

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Is (-3.4) a rational number? And why is (-3.4) a rational number?
KIM [24]

Answer:

Yes

Step-by-step explanation:

a rational number is a number that can be written as a fraction. Rational numbers are all real numbers, and can be positive or negative. A number that is not rational is called irrational. Most of the numbers that people use in everyday life are rational. These include fractions and integers.

- 3.4 is a integer and also a rational number.

4 0
3 years ago
Rewrite the Cartesian equation y=-3 as a polar equation.
andreev551 [17]

r

sin

θ

=

−

3

Explanation:

Imagine we have a point  

P

with Rectangular (also called Cartesian) coordinates  

(

x

,

y

)

and Polar coordinates  

(

r

,

θ

)

.

The following diagram will help us visualise the situation better:

https://keisan.casio.com/exec/system/1223526375

https://keisan.casio.com/exec/system/1223526375

We can see that a right triangle is formed with sides  

x

,  

y

and  

r

, as well as an angle  

θ

.

We have to find the relation between the Cartesian and Polar coordinates, respectively.

By Pythagora's theorem, we get the result

r

2

=

x

2

+

y

2

The only properties we can say about  

θ

are its trigonometric functions:

sin

θ

=

y

/

r

⇒

y

=

r

sin

θ

cos

θ

=

x

/

r

⇒

x

=

r

cos

θ

So we have the following relations:

⎧

⎪

⎨

⎪

⎩

r

2

=

x

2

+

y

2

y

=

r

sin

θ

x

=

r

cos

θ

Now, we can see that saying  

y

=

−

3

in the Rectangular system is equivalent to say

r

sin

θ

=

−

3

Answer link

Jim G.

May 19, 2018

r

=

−

3

sin

θ

Explanation:

to convert from  

cartesian to polar

∙

x

x

=

r

cos

θ

and  

y

=

r

sin

θ

⇒

r

sin

θ

=

−

3

⇒

r

=

−

3

sin

θ

4 0
3 years ago
6: REDUCE to simplest term. 4/1 + 15/2​
vovangra [49]

Answer:

\frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

Step-by-step explanation:

Given the expression

\frac{4}{15}+\:\frac{1}{2}

Thus, solving to reduce to the simplest term

\frac{4}{15}+\frac{1}{2}

LCM of 15, 2: 30

Adjusting fraction based on the LCM

so the expression becomes

\frac{4}{15}+\:\frac{1}{2}=\frac{8}{30}+\frac{15}{30}

Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

            =\frac{8+15}{30}

Add the numbers: 8+15 = 23

            =\frac{23}{30}

Therefore, \frac{4}{15}+\:\frac{1}{2} in the simplest term is:

\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

4 0
3 years ago
2/2 equal i need to know pls pls
Nadya [2.5K]

Answer:

If you are asking what 2 divided 2 is its 1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Solve 8[7 - (6x - 6)] + 6x = 0.
dsp73
Its x = 52/21 = 2.47
6 0
3 years ago
Read 2 more answers
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