The absolute value of -8.2 would be 8.2
Answer:
-13
Step-by-step explanation:
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We calculate the commission and adding it to the price of the stock to get total cost.
No Price Total Commission Total cost
100 $26.25 0.06 x $2,625 = $157.50 2625 + 157.50 =2782.5
100 $19.32 0.06 x $1,932 = $115.92 1932 + 115.92 =2047.92
40 $9.77 0.06 x $390.80 = $23.45 390.80 + 23.45= 414.25
200 $5.39 0.06 x $1,078 = $64.68 1,078 + 64.68 = 1142.68
100 $33.44 0.06 x $3,344 = $200.64 3,344 + 200.64 = 3544.64
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
Because you know the area and that the shape is a square... if the side length is "s"... to find "s" you would say...
s²=1.69
Take the root of both sides and...
s=1.3 km
