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3 years ago

What is the perimeter of the garden shown below ?

Mathematics

1 answer:

Dmitry [639]3 years ago

4 0

4+4+4+4+4+4=24yd is the perimeter.

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Convert the integral below to polar coordinates and evaluate the integral.

White raven [17]

I suppose the integral is

$\displaystyle\int_0^5\int_y^{\sqrt{25-y^2}} xy\,\mathrm dx\,\mathrm dy$

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

$R=\left\{(r,\theta)\mid0\le r\le5,0\le\theta\le\dfrac\pi4\right\}$

Then $x=r\cos\theta$ , $y=r\sin\theta$ , and $\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$ . So the integral becomes

$\displaystyle\iint_Rxy\,\mathrm dx\,\mathrm dy=\int_0^{\pi/4}\int_0^5r^3\sin\theta\cos\theta\,\mathrm dr\,\mathrm d\theta=\frac{625}{16}$

7 0

3 years ago

Please help will give brainliest and 30 pts

Rus_ich [418]

You’re not giving 30 points, you’re only giving 5

3 0

3 years ago

FOR 15 POINTS I WILL GIVE BRAINLEST IF YOU ARE CORRECT! What is the solution to the system that is created by the equation y = 2

goblinko [34]

The solution point is (4,2).

Step-by-step explanation:

Equation of straight line passing through the points (0,0) and (4,2) is given by

⇒ 2y = x ............ (1)

And the other straight line is y = - x + 6 .............. (2)

Now, solving equations (1) and (2) we get, y = - 2y + 6

⇒ 3y = 6

⇒ y = 2

And from equation (1) we get, x = 2y = 4

Therefore, the solution point is (4,2). (Answer)

6 0

3 years ago

Read 2 more answers

Molly owes her brother $300.She works for $10 per hour as a checker at the local grocery store.Molly plans to repay her brother

gavmur [86]

Answer: The expression which represents the condition described is given as $4x=300$

Step-by-step explanation:

Since we have given that

Amount that Molly owes her brother = $300

Let the number of hours she worked as a checker be x

Cost of per hour = $10

Amount she get after doing work for x hours is given by

$10x$

Rate of tax are taken out = 80%

So, amount she left with is given by

$\frac{100-20}{100}\times 10x\\\\=\frac{80}{100}\times 10x\\\\=8x$

So, Molly plans to repay her brother half of what she earns is given by

$\frac{8x}{2}=4x$

According to question,

$4x=300\\\\x=\frac{300}{4}\\\\x=75\ hours$

So, the expression which represents the condition described is given as

$4x=300$

3 0

3 years ago

Read 2 more answers

A student was asked to rewrite using only the associative property of multiplication. Which is the correct response?

tatiyna

Given that the associative property of multiplication says that you can group the numbers in any combination, we can reorganize the expression as: 7·(10·3)=210. So the answer would be the first option.

3 0

1 year ago