9514 1404 393
Answer:
9) 39.7°
10) insufficient information
11) 20.0 in
12) 19.0 m
Step-by-step explanation:
These Law of Sines problems are all worked the same way. For sides a, b, and opposite angles A, B, the relevant relationship is ...
a/sin(A) = b/sin(B)
This gives rise to formulas for angle and side:
A = arcsin(a/b·sin(B))
a = b·sin(A)/sin(B)
If the longest given side is not opposite the largest given angle, there may be two solutions.
_____
9) B = arcsin(8/12.5·sin(87°)) = 39.7°
10) missing a side or angle; insufficient information
11) f = (5 in)·sin(70.4°)/sin(13.6°) = 20.0 in
12) p = (22 m)·sin(59°)/sin(180°-59°-24°) = 19.0 m
Answer:
3.70 < 3.702 < 3 10/11 < 79/20
Step-by-step explanation:
Answer:
2. $3
Put down 20 and multiply 20 times .15 and you get your answer.
First, simplify the parenthesis. You’ll get:
1/4(4z)+7=-z+1
Then multiply 1/4 by 4z. You’ll get:
z+7=-z+1
Love like terms to the same side. I wanted to have the variable positive on time, so I moved variables to the left and constants to the right. You’ll get:
2z=-6
Divide both sides by 2. You’ll get :
z=-3
Answer:
3j + 3m + 21
Step-by-step explanation:
Normally, they would each travel 3 miles, so the total would normally be 3j + 3m. However, for today, Jared ran another 21 miles, so 21 miles is added to the total.
Total distance = 3j + 3m + 21
