1. 112 degrees
2. 68 degrees
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
Answer:
50 cents per lollipop
Step-by-step explanation:
The full bag of lollipops costs 5.99 for 12 lollipops. You must use proportions.
5.99. _ X
———. ——
12. 1
Cross multiply to get 5.99 = 12x. Isolate the variable (x) by dividing by 12. 5.99/12 = 0.499166666666667
Because it is a price, round to the nearest hundredth and it costs about 50 cents per lollipop
Answer:
A. 96π in³
Step-by-step explanation:
The formula you can use to find the volume of a cone is ...
V = (π/3)r²·h . . . . where r is the radius and h is the height
Put the given numbers into the formula and do the arithmetic.
V = (π/3)(6 in)²(8 in) = 96π in³
