Answer:
an image before the image your seeing
Step-by-step explanation:
Answer:
a = 6, b = 6√2, c = 2√3, d = 6
Step-by-step explanation:
Applying,
sin60° = a/4√3
Therefore,
a = sin60°×4√3
a = (√3/2)(4√3)
a = 3×2
a = 6
Also,
cos60 = c/4√3
c = cos60×4√3
c = 0.5×4√3
c = 2√3
also,
tan45 = a/d
d = a/tan45
d = 6/(1)
d = 6
Also,
sin45 = a/b
b = a/sin45
b = 6/(1/√2)
b = 6√2
Substitute 2x as y:
3x + y = 5
3x + 2x = 5
5x = 5
x = 1
Now, substitue 1 as x into one of the two equations:
y = 2x
y = 2(1)
y = 2
Hope this helps!
3a+b²=3(3)+5²=34
therefore 34 is the answer
The Law of Cosines would be your best bet here, since the unknown side is opposite the known angle 110 degrees.
|AC|^2 = (8 in)^2 + (23 in)^2 - 2(8 in)(23 in)*cos 110 degrees
= 64 in^2 + 529 in^2 - (368 in^2)*(-0.342)
= 593 in^2 + 126 in ^2 approximately
= 719 in^2 approximately
Then the length of side AC is approx. √(716 in^2) = 27 in
