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To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations ∠E1SE2, can be calculated. (The times are chosen so that ∠E1SE2 is as large as possible, which guarantees that ∠E1SO is 90°.) Alpha Centauri, the star nearest the earth, the measured angle ∠E1SE2 has been found to be 0.000422°. Estimate the distance to this star. (Use 9.3 x 107miles as the distance from the earth to the sun)
Using the sketch below and the fact that ∠A + ∠B + ∠C + ∠D = 325, Determine m∠E. a. 81° b. 35° c. 25° d. 75° b. The addition of the measures of the exterio
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alpha and beta are concentric angles of two points A and B on the ellipse.
Draw the parametric curve for the subsequent set of parametric equations. X = t 2 +t Y=2t-1 -1 t 1 Solution Note that the only dissimilarity here is the exis
How many integers satisfy (sqrt n- sqrt 8836)^2 Solution) sqrt 8836 = 94 , let sqrt n=x the equation becomes... (x-94)^2 (x-94)^2 - 1 (x-95)(x-93) hence 93 8649 the number o
(6x+9y) + (11x+13y)
Rank Correlation Coefficient Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two vari
Confidence Interval The interval estimate or a 'confidence interval' consists of a range as an upper confidence limit and lower confidence limit whether we are confident that a
Formulas for the volume of this solid V = ∫ b a A ( x) dx V = ∫ d c A ( y ) dy where, A ( x ) & A ( y ) is the cross-sectional area of the solid. There are seve
PROOF OF VARIOUS LIMIT PROPERTIES In this section we are going to prove several of the fundamental facts and properties about limits which we saw previously. Before proceeding
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