Answer:
Law of Sines
Step-by-step explanation:
Law of Sines: 
Step 1: Solve for m∠B

25sinx = 27sin36°
sinx = 27sin36°/25

m∠B ≈ 39.4°
Step 3: Find m∠C
180 - (36 + 39.4)
180 - 75.4
m∠C = 104.6°
Answer:
The three numbers are 7 8 and 9
Step-by-step explanation:
Givens
- Let the first number be n - 1
- Let the second number be n
- Let the third number = n + 1
Equation
(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480
Solution
Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1
Multiply the second integer by the result of the first and third: n (n^2 - 1)
Add the three integers together: (x - 1) + (n - 1) + n = 3n Combine these 2 steps
n(n^2 - 1) - 3n = 480 Remove the brackets
n^3 - n - 3n = 480
n^3 - 4n = 480
n^3 - 4n - 480 = 0
Graph
The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.
Answer
n - 1 = 7
n = 8
n + 1 = 9
Check
Product 7*8*9 = 504
Sum = 7 + 8 + 9 = 24
504 - 24 = 480 Which checks.
Answer:
area formula: base x height 9x4=36
Step-by-step explanation:
Answer:
x = 5/2
x = 2 1/2
x = 2.5
Step-by-step explanation:
3x - 1 - (x + 3) = 1
3x - 1 - x - 3 = 1
2x - 1 - 3 = 1
2x - 4 = 1
2x = 1 + 4
2x + 5
2x = 5
x = 5/2 → 2 1/2 → 2.5 ( can be written in any of these forms depending on what you need to do)
<em>Hope this helped! :)</em>
Answer:
m = 18
Step-by-step explanation:
Step 1: Write out equation
-1/2m = -9
Step 2: Multiply both sides by -2
m = 18