Mathematics, 10.10.2019 12:30 dyshekagraves

Estimate the diameter of the supergiant star betelgeuse, using its angular diameter of about 0.05 arcsecond and distance of about 600 light-years.

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Answer from: jairus34

The diameter of the supergiant star betelgeuse is $1.38 x 10^{12} meters$

Further explanation

Betelgeuse is the brightest star in Orion. It marks the western shoulder of the constellation. Betelgeuse is one of the largest known stars and is at least the size of the orbits of Mars or Jupiter around the sun. That's a diameter is about 700 times the size of the Sun, or 600 million miles.

The angular diameter distance is a distance measure used in astronomy.

Estimate the diameter of the supergiant star betelgeuse, using its angular diameter of about 0.05 arcsecond and distance of about 600 light-years:

$0.05 arcsecond = \frac{1 degree}{72000}$

A minute of arc (arcminute) is a unit of angular measurement equal to of one degree. A second of arc or arcsecond (arcsec) is 1/60 of an arcminute,

$0.05 arcsecond = \frac{\pi radians}{180*72000}$

$0.05 arcsecond = 2.424 * 10^{-7} radians$

The distance is roughly

$R*(\theta) = (600 lightyears)*2.424 * 10^{-7}$

$R*(\theta) = 0.00014544 lightyears$

$R*(\theta) = 1.275 lighthours$

$R*(\theta) = (3600 seconds)*(3 *10^{8} m/s)*(1.275)$

$R*(\theta) = 1.38 x 10^{12} meters)$

Learn moreLearn more about the supergiant star betelgeuse, Learn more about angular diameter Learn more about arcsecond Answer details

Grade: 9

Subject: mathematics

Chapter: angular diameter

Keywords:

the supergiant star betelgeuse, angular diameter, arcsecond, distance, astronomers

Answer from: Quest

answer: 370

step-by-step explanation:

remember use pemdas! there are no parentheses or exponents so lets move onto the first part of the equation: multiplication and division. first, lets break the first part of the equation up into something easier using the distributive property. 28 * 12= (20 *12) + (8*12) you know that 20*12 is 240 and 8*12 is 96. add them and you get 336. then, lets solve the last part of the equation (the last part of pemdas is addition and subtraction). 336 plus 34 is 370. hope this !

Answer from: Quest

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has vertices $p(1,2),q(2,1),r(3,2),s(3,3)$ recall that for counterclockwise rotation about the origin, $(x,y)\rightarrow (-x,-y)$ when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will become $p1( - 1, - 2),q1( - 2, - 1),r1( - 3, - 2),s1( - 3, - 3)$ next, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain, $p'(1, - 2),q'(2, - 1),r'(3, - 2),s'(3, - 3)$ therefore the correct answer is c

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