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34kurt
3 years ago
15

in klm the measure of m=90 the measure of l=68 and mk=2.5 feet. find the length of kl to the nearest tenth of a foot

Mathematics
1 answer:
frutty [35]3 years ago
5 0

Answer:

2.7

Step-by-step explanation:

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g Evaluate the integral below by changing to spherical coordinates. 3 −3 9 − y2 − 9 − y2 9 − x2 − y2 x2z y2z z3 dz dx dy − 9 − x
liq [111]

My best guess as to what the integral is supposed to be is

\displaystyle\int_{-3}^3\int_{-\sqrt{9-y^2}}^{\sqrt{9-y^2}}\int_{-\sqrt{9-x^2-y^2}}^{\sqrt{9-x^2-y^2}}(x^2z+y^2z+z^3)\,\mathrm dz\,\mathrm dx\,\mathrm dy

which is the integral over the sphere of radius 3 centered at (0, 0, 0). In spherical coordinates, the integral is equivalent to

\displaystyle\int_0^{2\pi}\int_0^{\pi}\int_0^3(\rho^3\cos^2\theta\sin^2\varphi\cos\varphi+\rho^3\sin^2\theta\sin^2\varphi\cos\varphi+\rho^3\cos^3\varphi)\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

=\displaystyle2\pi\int_0^{\pi}\int_0^3\rho^5\sin\varphi\cos\varphi\,\mathrm d\rho\,\mathrm d\varphi

=\displaystyle\pi\int_0^{\pi}\int_0^3\rho^5\sin(2\varphi)\,\mathrm d\rho\,\mathrm d\varphi

=\displaystyle\pi\left(\int_0^{\pi}\sin(2\varphi)\,\mathrm d\varphi\right)\left(\int_0^3\rho^5\,\mathrm d\rho\right)=\boxed0

8 0
4 years ago
Angles that share a vertex, but not a side are called?
WARRIOR [948]
Adjacent angles are the angles that share a common vertex but no common interior points.
5 0
4 years ago
HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examinin
Brilliant_brown [7]

Answer:

0.35

Step-by-step explanation:

Given the data:

Selling Time___ Frequency

0 10____________3

10 20__________ 4

20 30__________ 6

30 40__________ 4

40 50__________ 3

Proportion of selling time in sample above that are less Than 20 days :

Taking the sum of the frequency :

Hence, total frequency = (3 + 4 + 6 + 4 + 3) = 20

Selling time which is less Than 20 days :

(0 - 10) = 3

(10 - 20) = 4

Total = (3 + 4) = 7

Proportion = selling time less Than 20 days / total frequency

= 7 / 20

= 0.35

3 0
3 years ago
Anyone know how to do BOTH of these? Thanks!
cricket20 [7]
The answer to the top one is 243.
6 0
3 years ago
Read 2 more answers
Find the perimeter of the following shape, rounded to the nearest tenth:
OLga [1]

Answer: the perimeter of the shape is 19.1

Step-by-step explanation:

To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side

For line AD,

AD² = 2² + 4² = 4 + 16 = 20

AD = √20 = 4.47

For line AB,

AB² = 1² + 5² = 1 + 25 = 26

AB = √26 = 5.1

For line BC,

BC² = 2² + 4² = 4 + 16 = 20

BC = √20 = 4.47

For line CD,

CD² = 1² + 5² = 1 + 25 = 26

CD = √26 = 5.1

The perimeter of a plane figure is the distance around the figure. Therefore

Perimeter = AB + AB + BC + CD

Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =

19.1

6 0
4 years ago
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