So, you are going to start with the first # and move left however many digits the second number is; if they are both negative and you are adding, just act like you are adding two regular #s together, just put a negative sign in front
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
Answer:
Step-by-step explanation:
Given that :
Scale used = 1:90
Actual tree = 315 inches
Let x = size of model tree
Answer:
D. 6x2 + 3x - 7
Step-by-step explanation:
If 2/3 ton of gravel covers 3/4 of a driveway, you need to divide 2/3 divided by 3 to find how much is needed for 1/4 of the driveway.
Steps:
1. 2/3 divided by 3 = 2/3 * 1/3. So 2/9.
2. Add 2/3 plus 2/9= 8/9 ton of gravel to cover the whole driveway.
Answer: 8/9
Hope this helped, and good luck with any future problems
