A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
Area of triangle = <em>A(t) </em>= 1/2(base x height)
Area of square = <em>A(s) = </em>base x height
<em>A(s) </em>= 2 x 2 = 4
<em>2(A(s))</em> = 2(1/2(2)(2) = 2(1/2(4)) = 2(2) = 4
Add the two areas together
4 + 4 = 8
8 units² is your answer
Hello
<span>3 2/3 \ 3 2/9
(32/3) × (9/32) = 9/3=3</span>
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:
There are no solutions.
Step-by-step explanation:
Let's solve your inequality step-by-step.
−7(3x−7)+21x≥50
