From Desmos.com/calculator. It won't let me add the last one.
Answer:
BC =10
AC = 13.661
Step-by-step explanation:
We can use the law of sines to solve this problem
sin C sin B sin A
---------- = ---------- = ---------
AB AC BC
Lets substitute in what we know
sin 30 sin B sin 45
---------- = ---------- = ---------
5sqrt(2) AC BC
We can calculate angle B because all three angles have to add to 180
A+B+C = 180
45+B + 30 = 180
75+B=180
Subtract 75 from each side
75-75+B=180-75
B =105
sin 30 sin 105 sin 45
---------- = ---------- = ---------
5sqrt(2) AC BC
Using cross products and the first and third columns
BC sin 30 = 5 sqrt (2) sin 45
BC * .5 = 5 sqrt(2) * 1/2 sqrt(2)
1/2 BC = 5
Multiply by 2
2*1/2 BC = 5 *2
BC =10
Using cross products and the first and second columns
BC sin 30 = 5 sqrt (2) sin 105
sin 105 is really ugly as an exact answer
.5 AC = 5 sqrt(2) .966
Divide by .5
AC = 5 sqrt(2) .966/.5
AC = 13.661
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you(i got this from someone else)
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you(i got this from someone else)
5x+6+1x
= (5x+1x)+ 6 (combine like terms)
= 6x+6
= 6(x+1) (distributive property)
The final answer is 6(x+1)~