The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
Answer:
0.5
Step-by-step explanation:
because its a rule of: + 0.125
and 0.125+0.375=0.5
For number 33. you can solve for "x": 90+(7x+5)+(3x-5)=180; 90+10x=180;
10x=90; x=9.
Answer:
x = 22
Step-by-step explanation:
Step 1: Write equation
2(x + 9) = 4(x - 7) + 2
Step 2: Solve for <em>x</em>
- Distribute: 2x + 18 = 4x - 28 + 2
- Combine like terms: 2x + 18 = 4x - 26
- Subtract 2x on both sides: 18 = 2x - 26
- Add 26 to both sides: 44 = 2x
- Divide both sides by 2: 22 = x
- Rewrite: x = 22
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
2(22 + 9) = 4(22 - 7) + 2
2(31) = 4(15) + 2
62 = 60 + 2
62 = 62