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Marina86 [1]
3 years ago
5

To wash a window that is 8 meters off the ground, Stanley leans a latter against the side of the building The base of the latter

is 6 meters from the building How long is the ladder that Stanley is using?
Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

the latter is ten meters long

Step-by-step explanation:

its just ten meters long

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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
I need to know the slope of the line given the two points
Karo-lina-s [1.5K]
Slope=(y2-y1)/(x2-x1)
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7 0
3 years ago
Question 5
sergey [27]

Explanation : If 66 is a factor of this unknown value, then 22 must be as well considering that 22 is a factor off 66. Let's say that this large value is 330. It is a multiple of 66, as 66 * 5 = 330. At the same time 22 * 15 = 330, so 330 is a multiple of 22 as well - or vice versa, 12 is a factor of 330.

We can also tell that 15, 22 fit into 330 through another approach. 22 * 3 = 66, and 66 * 5 = 330, so 5 * 3 = 15 - the same value. This proves that 22 will always be a factor of a value that is the factor of 66.

3 0
3 years ago
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Bob has to pack 192 boxes. This morning, he packed 84 boxes in 3.5 hours. If Bob continues at the same rate, how long will it ta
Aleonysh [2.5K]

1.365

Step-by-step explanation:

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3 years ago
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tangare [24]

Answer:

49 boys did things that May liked

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May be getting aroundddd, she a real h o e

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3 years ago
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