Answer:
a= 4.993
c = 5.824
A= 59°
C = 90°
Step-by-step explanation:
b=3, B=31°
Since it's a right angle.
C = 90°
A = 180-90-31
A= 59°
For side a and c
a/sin A = b /sin B
a = sinA * b/sin B
a= sin 59 * 3/sin31
a= 4.993
a = 5
c/sin C = b/sin B
c = sin C * b/sin B
c = sin90 * 3/sin 31
c = 1* 5.824
c = 5.824
Answer:
They Make 50 cents profit a pack
Step-by-step explanation:
1.89-1.35
<span>sinx - cosx =sqrt(2)
Taking square on both sides:
</span>(sinx - cosx)^2 =sqrt(2)^2<span>
sin^2(x) -2cos(x)sin(x) + cos^2(x) = 2
Rearranging the equation:
sin^2(x)+cos^2(x) -2cos(x)sin(x)=2
As,
</span><span>sin^2(x)+cos^2(x) = 1
</span><span>So,
1-2sinxcosx=2
1-1-2sinxcosx=2-1
-</span><span>2sinxcosx = 1
</span><span>Using Trignometric identities:
-2(0.5(sin(x+x)+sin(x-x))=1
-sin2x+sin0=1
As,
sin 0 = 0
So,
sin2x+0 = -1
</span><span>sin2x = -1</span><span>
2x=-90 degrees + t360
Dividing by 2 on both sides:
x=-45 degrees + t180
or 2x=270 degrees +t360
x= 135 degrees + t180 where t is integer</span>
Answer:
B) (2x + 3)(2x - 3)
Step-by-step explanation:
Use the FOIL method for each answer choice.
FOIL = First, Outside, Inside, Last
(2x)(2x) = 4x²
(2x)(-3) = -6x
(3)(2x) = 6x
(3)(-3) = -9
4x² -6x +6x -9
Simplify. Combine like terms:
4x² (-6x + 6x) - 9
4x² - 9
4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer
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