The magnitude M of a star is a measure of how bright a star appears to the human eye. It is defined by
M = -2.5 log(B/B₀),
where B is the actual brightness of the star and B₀ is a constant.
(a) Expand the right-hand side of the equation.
(b) Betelgeuse is about 100 times brighter than Albiero. Use part (a) to show that Betelgeuse is 5 magnitudes less bright than Albiero. Let B1 be the brightness of the star Albiero and M1 be its magnitude.
Then 100B1 is the brightness of Betelgeuse, and its magnitude is .

180 square centimeters

step-by-step explanation:

1/800 is the right answer

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.