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
Use 6 triangles then 2 square so you will only be using a total of 4 square and 12 triangles
Answer:
84 inches cubed
Step-by-step explanation:
Volume for rectangular prism is V=lwh so...
4×3×7=84
2x + x - 1 x
= ------------------ * ---------
x(x - 1) 8
3x - 1
= --------------
8x - 8
Answer:
74 degrees
Step-by-step explanation:
The arc degree measurement of the arc that is colored in orange is given as 254 degrees.
The remaining part is the part in green.
The green part plus the orange part should equal 360 degrees because that would make a full rotation around the circle.
.
The green arc has measurement 106 degrees.
We can find x by computing half the difference of the arcs there.
That is,


