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3 years ago

Find the area of circle having its radius 15cm

Mathematics

2 answers:

ElenaW [278]3 years ago

6 0

Answer:

Let π =22/7

area of circle = πr²

= 706.86

Step-by-step explanation:

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muminat3 years ago

4 0

Answer:

A≈706.86

Step-by-step explanation:

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Hi guys, can anyone help me with this triple integral? Many thanks:)

Crank

Another triple integral. We're integrating over the interior of the sphere

$x^2+y^2+z^2=2^2$

Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

$y^2=4-x^2-z^2$

x is the inner integral so at this point we conservatively say its zero. That means y goes from $-\sqrt{4-z^2}$ and $+\sqrt{4-z^2}$

Similarly the inner integral x goes between $\pm-\sqrt{4-y^2-z^2}$

So we rewrite the integral

$\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz$

Let's work on the inner one,

$\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz$

There's no z in the integrand, so we treat it as a constant.

$=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}$

So the middle integral is

$\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy$

I gotta go so I'll stop here, sorry.

7 0

3 years ago

Read 2 more answers

Simplify this step by step <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B-5jk%7D%7B35j%5E2k%5E2%7D%20" id="TexFormula1" tit

VikaD [51]

$\frac { -5jk }{ 35{ j }^{ 2 }{ k }^{ 2 } } \\ \\ =-\frac { 5 }{ 35 } \cdot \frac { j }{ { j }^{ 2 } } \cdot \frac { k }{ { k }^{ 2 } } \\ \\ =-\frac { 1 }{ 7 } \cdot \frac { 1 }{ j } \cdot \frac { 1 }{ k } \\ \\ =-\frac { 1 }{ 7jk }$

Remember that:

$\frac { j }{ { j }^{ 2 } } =\frac { 1 }{ j } \cdot \frac { j }{ j } =\frac { 1 }{ j } \cdot 1=\frac { 1 }{ j } \\ \\ \frac { k }{ { k }^{ 2 } } =\frac { 1 }{ k } \cdot \frac { k }{ k } =\frac { 1 }{ k } \cdot 1=\frac { 1 }{ k }$

8 0

3 years ago

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If a number is first doubled then decreased by six and the result is eight, what is the number?

vlada-n [284]

Answer:

Step-by-step explanation:

2n - 6 = 8. Simplified version is n = 7

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3 years ago

Another car dealership sells a truck for the wholesale price of $12,000. During a special sales event, the dealership offers a 1

Zepler [3.9K]

Answer:

$10,800

Step-by-step explanation:

Given that:

Wholesale price of the truck = $12,000

At the special sales event, the discount offered on the price = 10% of the wholesale price

Therefore the discount can be calculated as follows:

10% of Wholesale price

Wholesale price is given as $12,000.

$\Rightarrow \dfrac{10}{100} \times 12000\\\Rightarrow \bold{\$1200}$

Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.

Discounted price = Wholesale price - Discounted offered due to special sales event.

Discounted price = $12000 - $1200 = $10,800

Therefore, the answer is:

$10,800

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3 years ago

Cecilia traveled to Canada and bought a new lamp for 460 Canadian dollars. If the Canadian dollar is worth $.8817 against the U.

Katarina [22]

The answer is A: $405.58

460 times .8817 = 405.582

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3 years ago

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Find the area of circle having its radius 15cm​

Find the area of circle having its radius 15cm