In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
a. $150
b. 150+20x
630
20x480
x24
c. 150+20x750
20x600
x30
d. 150+20x
950
20x800
x40
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Answer: 81.85 km/hr
Converting m/sec into km/hr, 25 m/sec = 90 km/hr
Average =
Time = 50/90 = 5/9 hr
next 120 km at an average speed of 80km/h
=> Time = 120/80 = 3/2 hr
last part of its journey at an average speed of 90km/h in 35 Minutes
time = 35 minutes = 35/60 hr = 7/12 hr
Distance covered = 90 * 7 /12 = 105/2 km
Total Distance = 50 + 120 + 105/2 = 435/2 km
Total time = 5/9 + 3/2 + 7/12 = ( 20 + 54 + 21) /36 = 95/36
Average speed = (435/2)/(95 /36) = 432 * 18 /95 = 81.85 km/hr
The answer is B... T'(0,0), S'(-1,2), R'(1,3), Q'(4,1)
I got it now!
(hold your applause)
Area of the rectangle is 12 to the power of 2 (or you can just say squared) and that equals 144cm squared
the area of the circle is pi radius squared (in this case radius is 3) and it equals 9 pi squared
to get the shaded area that is last over with the circles removed you would have to do (144)-(9pi) (this part is unachievable without a calculator that has the pi symbol to fill in instead of just writing 3.14) and after you get the answer of that which is 115.725666118
and that amount you must do the same with so it would be
(115.725666118)-(9pi) and that equals ...............
87.4513322357
(you may now applaud)
