Answer:
m∠A ≈ 43°
m∠B ≈ 55°
mBC ≈ 20
Step-by-step explanation:
Law of Sines: 
Step 1: Find m∠B
Step 2: Solve for ∠B
29sinB = 24sin82°
sinB = 24sin82°/29
B = sin⁻¹(24sin82°/29)
B = 55.038°
Step 3: Find m∠A
180 - (55.038 + 82)
180 - 137.038
m∠A = 42.962°
Step 4: Find BC
Step 5: Solve for BC
29sin42.962° = BCsin82°
BC = 29sin42.962°/sin82°
BC = 19.9581
Answer:
14.02
Step-by-step explanation:
You'd have to write equations for the price per month for each club.
Let x equal the number of months of membership, and y equal the total cost.
Club A's is y
=
24x
+
21.50 and Club B's is y
=
17.25
x
+
41.00 Because we know that the prices, y
, would be equal, we can set the two equations equal to each other.
24x
+
21.50
=17.25
x+
41.00
subtract 21.50 both sides
. We can now solve for x by isolating the variable.
24x=17.25x+19.5
divide 17.25x
1.39x=19.5
divide 1.39 both sides
x=14.02
After five months, the total cost would be the same.
Answer:
Step-by-step explanation:
Comment
You are given values for the adjacent side of <x and the hypotenuse of a right triangle. This defines the Cosine of an angle
Equation
Cos(x) = a/c the way you have labeled it.
Givens
a = 9
c = 18
Solution
Cos(x) = a / c
Cos(x) = 9 / 18
cos(x) = 1/2
x = cos-1(1/2)
x = 60 degrees
Answer
x = 60
What you have to do first is you have 5 owners correct? Well you take anything they're sharing in this case it's delay/debt, so you divide $110 by 5 and you should get $22. This means that each owner would have to pay $22 to the delay.
Answer:
<em>x = 6 and y = 25 → (6, 25)</em>
Step-by-step explanation:
Substitute y = 4x + 1 to the equation 2x + y = 37:
2x + (4x + 1) = 37
(2x + 4x) + 1 = 37 <em>subtract 1 from both sides</em>
6x = 36 <em>divide both sides by 6</em>
x = 6
Pyt the value of x to the first equation:
y = 4(6) + 1
y = 24 + 1
y = 25
