Isabella is studying the night sky. her teacher gives her an assignment. each night she is to go outside at the same time and observe the stars. on her last night of observations her uncle lets her use his telescope. isabella is surprised at how many more stars she can see through the telescope. why is it that isabella can see so many more stars by using her uncle's telescope? a) the telescope magnifies objects that are far away. b) the telescope minimizes objects seen at a distance. c) the telescope gathers light from the distant object. d) the telescope magnifies the obejects and gathers light from them too.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

750 h and costs $0.60 per bulb.

2b2t

explanation:

2b2t

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