Mathematics, 04.03.2021 06:30, jaylaa04
Complete the proof of the Law of Sines/Cosines. Triangle ABC with side c between points A and B, side a between points B and C. Segment drawn from point B to point D where D is between points A and C, segment BD is labeled x.
Given triangle ABC with altitude segment BD labeled x. Angles ADB and CDB are right angles by _1._, making triangle ABD and triangle BCD right triangles. Using the trigonometric ratios sine of A equals x over c and sine of C equals x over a. Multiplying to isolate x in both equations gives x = _2._ and x = a β
sinC. We also know that x = x by the reflexive property. By the substitution property, _3._. Dividing each side of the equation by ac gives: sine of A over a equals sine of C over c.
1. definition of altitude
2. c β
sinA
3. c β
sinA = a β
sinC
1. definition of right triangles
2. c β
sinB
3. c β
sinB = a β
sinC
1. definition of right triangles
2. a β
sinA
3. a β
sinA = c β
sinC
1. definition of altitude
2. c β
sinA
3. a β
sinA = c β
sinC
Answers: 3
Mathematics, 21.06.2019 16:50, gesic2003
Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.1. (round your answers to four decimal places.) (a) if the distribution is normal, what is the probability that the sample mean hardness for a random sample of 8 pins is at least 51?
Answers: 3
Mathematics, 21.06.2019 21:00, kaylaamberd
What is the value of m in the equation 1/2 m - 3/4n=16 when n=8
Answers: 1
Complete the proof of the Law of Sines/Cosines. Triangle ABC with side c between points A and B, sid...
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