Answer:
Step-by-step explanation:
For any triangle, the Law of Sines is given by .
Using this, we can set up the following equation:
Solving, we get:
Since there are 180 degrees in a triangle:
*It is worth noting that there is more than one possible answer for the measure of angle B. Since , there may be up to two answers when using the Law of Sines to solve for an angle. In this case, there are two possible triangles given the information given, however, only one option is given in the answer choices.
Answer:
Step-by-step explanation:
13 bowls × (¾ c)/bowl = 13×¾ c = 9¾ c
13 bowls hold 9¾ cups
X = 8
y = 6
a = 10
? = 1920
x + y + x = 22
8 + 6 + 8 = 22
a + a + x = 28
10 + 10 + 8 = 28
y + 2y + 2a = 38
6 + 2(6) + 2(10) = 38
2y * x * 2a =
2(6) * 8 * 2(10) = 1920
Find two numbers with a sum of 20 and a difference of 14
Make two equations
X+Y=20
X-Y=14
Now add x since y cancels out and add 20+14 To end up with
2x=34
Now divide 2 both sides to get x alone
2x/2=34/2
X=17
Now substitute x answer to first equation and solve for y
17+y=20
Subtract 17 both sides
Y= 3
Your two numbers are
3 and 17
Answer: -12
Work: Since -4 is in parentheses, I did -4 / 5 first. After doing the division, I had gotten -0.8. I multiplied -0.8 by 15, and had gotten -12.