Answer:
To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8
To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205
In a circle The measurement of a CENTRAL ANGLE (vertex C) is equal to the measurement of the arc intercepted:
65x-4 = 3x+120 ===> 62x=124 & x= 2, hence the arc = 2
The answer is a and remember to use the pythagorean theorem to answer these questions. The numbers are usually listed leg, leg, hypotenuse.
4g+3y+9=total of 16 and subract one green ballon, so 15. If picking one probability is 1/15