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Arte-miy333 [17]

3 years ago

6

this set of related facts contains two numbers less then 10. one of these numbers is the product of 3 . when you multiply the tw

o numbers the product is a multiple of 5

1 answer:

Brums [2.3K]3 years ago

6 0

The two numbers are 3 and 5, because 3 is the product of 3(1) = 1, and 3(5) = 15. Which is divisible by 5. Both 3 and 5 are less than 10.

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∫∫(x+y)dxdy ,d là miền giới hạn bởi x²+y²=1

igor_vitrenko [27]

It looks like you want to compute the double integral

$\displaystyle \iint_D (x+y) \,\mathrm dx\,\mathrm dy$

over the region <em>D</em> with the unit circle <em>x</em> ² + <em>y</em> ² = 1 as its boundary.

Convert to polar coordinates, in which <em>D</em> is given by the set

<em>D</em> = {(<em>r</em>, <em>θ</em>) : 0 ≤ <em>r</em> ≤ 1 and 0 ≤ <em>θ</em> ≤ 2<em>π</em>}

and

<em>x</em> = <em>r</em> cos(<em>θ</em>)

<em>y</em> = <em>r</em> sin(<em>θ</em>)

d<em>x</em> d<em>y</em> = <em>r</em> d<em>r</em> d<em>θ</em>

Then the integral is

$\displaystyle \iint_D (x+y)\,\mathrm dx\,\mathrm dy = \iint_D r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \int_0^{2\pi} \int_0^1 r^2(\cos(\theta)+\sin(\theta))\,\mathrm dr\,\mathrm d\theta \\\\ = \underbrace{\left( \int_0^{2\pi}(\cos(\theta)+\sin(\theta))\,\mathrm d\theta \right)}_{\int = 0} \left( \int_0^1 r^2\,\mathrm dr \right) = \boxed{0}$

3 0

3 years ago

The shower block on the campsite has an area of 144 m2 The length of the shower block is 24 m. What is the width? m

skad [1K]

Area= length*width

Plug in what you know.

144= 24*width

Divide both sides by 24.

width= 6 meters.

I hope this helps!
~kaikers

4 0

3 years ago

Solve the system of equations : y = x/2 , y = -x - 3 . You can use any method you wish for solving systems of equations. Check y

lorasvet [3.4K]

Answer:

x=−2 and y=−1

Step-by-step explanation:

<u>Problem:</u>

Solve y=x2;y=−x−3

<u>Steps:</u>

I will solve your system by substitution.

y=1/2x;y=−x−3

Step: Solve y= 1/2x for y:

Step: Substitute 1/2 x for y in y=−x−3:

y=−x−3

1/2x= =−x−3

1/2x+x=−x−3+x(Add x to both sides)

3/2x = -3

3/2x/3/2 = -3/3/2 (Divide both sides by 3/2)

x=−2

Step: Substitute −2 for x in y=1/2x:

y=1/2x

y=1/2(-2)

y=−1(Simplify both sides of the equation)

<u>Answer:</u>

x=−2 and y=−1

5 0

2 years ago

Which is the value of the expresson?

Katyanochek1 [597]

The solution to your problem is 8 (:

3 0

3 years ago

The perimeter of a rectangular painting is 262 centimeters. If the width of the painting is 59 centimeters, what is its length?

Liula [17]

The formula of the perimeter of a rectangle is 2l+2w so look at the photo

3 0

3 years ago