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zlopas [31]
2 years ago
7

At the Kindom Zoo in Lalaland, a zookeeper named

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
7 0

Answer:

70

Step-by-step explanation:

14 = 27 \\

x = 135

x =  \frac{14 \times 135}{27}

x = 70

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12x + 18y what is the answer
IrinaK [193]

Answer:

30xy

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ty flipped a coin and counted how many times it landed on heads and how many times it landed on
lesya [120]
<h3>Answer:  13/28</h3>

========================================================

Reason:

The table shows he got 26 heads out of 26+30 = 56 coin flips.

26/56 = (2*13)/(2*28) = 13/28 is the empirical or experimetnal probablity of getting heads.

Side note: 13/28 = 0.4643 = 46.43% approximately which is fairly close to 50%

6 0
2 years ago
Find the surface area of x^2+y^2+z^2=9 that lies above the cone z= sqrt(x^@+y^2)
Mashcka [7]
The cone equation gives

z=\sqrt{x^2+y^2}\implies z^2=x^2+y^2

which means that the intersection of the cone and sphere occurs at

x^2+y^2+(x^2+y^2)=9\implies x^2+y^2=\dfrac92

i.e. along the vertical cylinder of radius \dfrac3{\sqrt2} when z=\dfrac3{\sqrt2}.

We can parameterize the spherical cap in spherical coordinates by

\mathbf r(\theta,\varphi)=\langle3\cos\theta\sin\varphi,3\sin\theta\sin\varphi,3\cos\varphi\right\rangle

where 0\le\theta\le2\pi and 0\le\varphi\le\dfrac\pi4, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is \dfrac3{\sqrt2}. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

\varphi=\cos^{-1}\left(\dfrac{\frac3{\sqrt2}}3\right)=\cos^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4

Now the surface area of the cap is given by the surface integral,

\displaystyle\iint_{\text{cap}}\mathrm dS=\int_{\theta=0}^{\theta=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}\|\mathbf r_u\times\mathbf r_v\|\,\mathrm dv\,\mathrm du
=\displaystyle\int_{u=0}^{u=2\pi}\int_{\varphi=0}^{\varphi=\pi/4}9\sin v\,\mathrm dv\,\mathrm du
=-18\pi\cos v\bigg|_{v=0}^{v=\pi/4}
=18\pi\left(1-\dfrac1{\sqrt2}\right)
=9(2-\sqrt2)\pi
3 0
2 years ago
A six-sided die is rolled. What is the probability that the number rolled will be an even number or a 6?
asambeis [7]

Answer:

1/2

Step-by-step explanation:

A six sided die has 1, 2, 3, 4, 5, 6. Out of those numbers, 3 of those are even numbers. Meaning you have a 3/6 chance. This 3/6 can be reduced to 1/2.

8 0
3 years ago
The slope of the line below is -3. Use the coordinates of the labeled point to find the point-slope equation of the line.
muminat
Y-___enter y-coordinate of the point here= -3(x-__enter the x-coordinate here)
4 0
3 years ago
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