Answer and Step-by-step explanation:
You are correct in that we need to use the Law of Sines: 
.
Here, when we use the Law of Sines, we have: 
.
Cross multiply:
(sinB) * 28 = (sin63) * 29
28sinB ≈ 25.839
sinB ≈ 0.9228
Now, in order to solve for B, we need to use inverse sin (
):
The sines on the left cancel out, and we're left with:
B ≈ 67.3 degrees
Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:
180 - 67.3 = 112.7 degrees.
Hope this helps!
Answer:
19 and 2
Step-by-step explanation:
Let x represent the first number and y represents second number
x + y = 19
x - y = 17 add two equations up
2x = 36 divide both sides by 2
x = 19 and since the difference is 17 the other number is 2
Answer:
The value of y is -16.
Step-by-step explanation:
To find the missing coordinate, we can use the slope equation and plug in all known values.
m(slope) = (y2 - y1)/(x2 - x1)
6 = (y - 2)/(4 - 7)
6 = (y - 2)/-3
Now we can solve using cross multiplication.
y - 2 = -3*6
y - 2 = -18
y = -16
Yes and no. A negative number and it's opposite are 'integers.' Yes, a negative and a negative multiplied together give you a positive. The two negative signs cancel out making it positive. But no, a positive and a positive multiplied together do not give you a negative. When you subtract positive numbers you can get a negative, but not when multiplying. If you were to do a positive times a negative it would be negative because the positive can't cancel it out. Example: -3 · -3 = 9. [] 3 · 3 = 9. [] -3 · 3 = -9. Other than the positive number part, the statement is true about the negatives. I hope that helped!
Step-by-step explanation:
1.solution
=2a+5a
=7a
2.solution
=12x-3x
=9x
3.solution
=3p+2p-p
=5p-p
=4p
Hope it helps you.
