Could any1 help me for 30-60 min with math homework + explaining a math topic?
Here's c
We have to use the Law of Cosines, first....let's find angle P....so we have
25^2 = 18^2 + 16^2 - 2(18)(16)cosP simplify
625 = 324 + 256 - 576cosP subtract 324 and 256 from both sides and divide both sides by - 576
(625 - 324 - 256) / (-576) = cosP.....and we can use the inverse cosine to find P
cos-1 (625 - 324 - 256) / (-576) = P = about 94.48 degrees
And now, we can use the Law of Sines to find angle R
So we have
sinR/16 = sinP/25
sinR/16 = sin(94.48)/25 multiply both sides by 16
sinR = 16*sin (94.48)/25 = .638
And using the sine inverse we have
sin-1(.638) = about 39.64 degrees
And the remaining angle, Q = 180- 94.48 - 39.64 = about 45.88 degrees
This makes sense....the greatest angle is opposite the greatest side, the next greatest angle is opposite the next greatest side, and the smallest angle is opposite the smallest side...
task is : find the angle for the highligthed part of the triangle, and lenght of the small letters , trasnlated as good as i could .http://i59.tinypic.com/hsml5e.jpg for b)
http://i61.tinypic.com/birxxs.jpg for c)
would be grateful if someone could explain how to do these, have test on this topic tomorrow and i've been abscent for 2 weeks
Here's b
Since the sum of any three angles of a triangle = 180....then angle X must just be given by
X + 70 + 40 = 180 simplify
X + 110 = 180 subtract 110 from both sides
X = 70
And using the Law of Sines we can find side "y"...so we have
12 / sin40 = y/ sin 70 multiply both sides by sin70 and we have
12*sin70 / sin40 = y = about 17.54
Also the remaining side is the same length because angle X and Y are equal...and in a triangle....sides opposite equal angles are themselves equal..!!!
Thus....this is an isosceles triangle....(two equal sides)
Here's c
We have to use the Law of Cosines, first....let's find angle P....so we have
25^2 = 18^2 + 16^2 - 2(18)(16)cosP simplify
625 = 324 + 256 - 576cosP subtract 324 and 256 from both sides and divide both sides by - 576
(625 - 324 - 256) / (-576) = cosP.....and we can use the inverse cosine to find P
cos-1 (625 - 324 - 256) / (-576) = P = about 94.48 degrees
And now, we can use the Law of Sines to find angle R
So we have
sinR/16 = sinP/25
sinR/16 = sin(94.48)/25 multiply both sides by 16
sinR = 16*sin (94.48)/25 = .638
And using the sine inverse we have
sin-1(.638) = about 39.64 degrees
And the remaining angle, Q = 180- 94.48 - 39.64 = about 45.88 degrees
This makes sense....the greatest angle is opposite the greatest side, the next greatest angle is opposite the next greatest side, and the smallest angle is opposite the smallest side...