We know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos
C------> cos C=[a²+b²-c²]/[2*a*b]
in this problem
a=7.6 in
b=8.6 in
c=7.4 in
C=angle V
cos C=[7.6²+8.6²-7.4²]/[2*7.6*8.6]----> 0.5887
C=arc cos (0.5887)--------> C=53.93°-------> C=53.9°
the answer is
angle V is 53.9°
Answer:
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Answer:
27
Question:
Find
so that
is a solution to
.
Step-by-step explanation:
So we are asked to replace
with -14 and solve for
in the equation:
.
with
:


Add 42 on both sides:

Divide both sides by 2:
.
So the
-coordinate that corresponding to
is
.
Verify that:
is a point satisfying
.
Replace
with 27 and
with -14:


is true so our work must be right.
Answer:
66.4°
Step-by-step explanation:
To find the angle XYZ, we are to use sine rule. For this, we have to first find ∠Z.
Given that: ∠X = 90° (right angle), XY = 6 cm, YZ = 15 cm. Hence:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)
90 + ∠Y + 23.6 = 180
113.6 + ∠Y = 180
∠Y = 180 - 113.6
∠Y = 66.4°
∠Y = ∠XYZ = 66.4°
Answer:

Step-by-step explanation:
I have attached the explanation above. hopefully this will help