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Juliette [100K]
2 years ago
7

.

Mathematics
1 answer:
Alex17521 [72]2 years ago
6 0

Answer:

A. When the preimage of a triangle is a dilation of the image, the triangles are similar.

Step-by-step explanation:

If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.

Hope this helps <3

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(6) (Bonus) Determine the Cartesian equation of the surface with spherical coordinate equation rho = 2 cos θ sin φ − 2 sin θ sin
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Answer:

Hence, the sphere has a radius of \sqrt{3}  and is centered at the point (1,-1,1)

Step-by-step explanation:

We have the equation

\rho=2cos\theta cos\phi-2sin\theta sin\phi+2cos\phi

We have to take into account the relation between coordinates

\rho=\sqrt{x^2+y^2+z^2}\\x=\rho cos\theta sin\phi\\y=\rho sin\theta sin\phi\\z= \rho cos\phi

by substituting we have:

\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z

We have to complete squares:

(x^2-2x+1)+(y^2+2y+1)+(z^2-2z+1)-1-1-1=0\\\\(x-1)^2+(y+1)^2+(z-1)^2=3

Hence, the sphere has a radius of \sqrt{3}  and is centered at the point (1,-1,1)

hope this helps!!

4 0
3 years ago
Determine whether the underlined value is a parameter or a statistic. One of the greatest baseball hitters of all time has a car
Ad libitum [116K]

Answer:

B. The value is a parameter because the career at-bats of a baseball player are a population.

Step-by-step explanation:

The hitter had a career batting average of 0.366.

This value comes from information about the population of every time he has ever gone up to bat. Therefore, it is a parameter.

If on the other hand, we take the batting average of 5 games, the 5 games will be a sample and the batting average will be a statistic.

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4 years ago
URGENT!!!!!!!!!!!!!!!!!!!!!!
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4 squared + b squared = 8 squared
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kuha ka bato pukpok mo sa ulo mo para malaman mo

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