Answer: Correct me if I’m wrong but I think it’s 216 hours
Step-by-step explanation: every 24 hour you get 8 gallons so do 24 x 10 you get 240 hours and that gets you 80 gallons so you minus 8 gallons so take off 24 hours and you get your answer
Answer:
∠CGD is 52°
Step-by-step explanation:
∠AGB is 90° and its corresponding ∠EGD is also 90°
90+38= 128
180-128= 25
Answer:
1). Fold reflection symmetries = 5
2). Order of rotational symmetries = 10
3). Smallest angle of rotational symmetry = 36°
Step-by-step explanation:
A decagon has number of fold reflection symmetries = 5
[Fold reflection symmetries are the lines by which we can fold the shape into half]
Order of rotational symmetry of a decagon = 10
[Order of rotational symmetry means number of rotations by which the polygon maps itself in a complete rotation of 360°]
Smallest angle of rotational symmetry for a decagon
= 
= 
= 36°
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
