Answer:
b=204
Step-by-step explanation:
The law of sine states that: 
We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: 
°.
Using these two things, we can come up with the equality 
, which we can use to solve for side b.
, so we know that 
.
Next, we would multiply both sides by b to get 
.
Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77
Since the problem asks us to round to the nearest whole number, b=204
Hope this helps! :)
Answer:
3.3075 liters of paint
Step-by-step explanation:
7.40 (red paint) + 6.26 (blue paint ) = 13.66 (purple paint)
He pours 13.66 liters of purple paint equally into 4 containers and has 0.43 liters left.
x + x + x + x = 13.66 - 0.43
4x = 13.23
x = 13.23/4
x = 3.3075
Answer:1010 adult tickets and 640 child tickets were sold
Step-by-step explanation:
Let x represent the number of adult tickets that were sold.
Let y represent the number of child tickets that were sold.
The total number of tickets sold was 1650. This means that
x + y = 1650
Tickets to a Broadway show cost $35 for adults and $10 for children. The total receipts for 1650 tickets at one performance were $41,750. This means that
35x + 10y = 41750 - - - - - - - - - -1
Substituting x = 1650 - y into equation 1, it becomes
35(1650 - y) + 10y = 41750
57750 - 35y + 10y = 41750
- 35y + 10y = 41750 - 57750
- 25y = - 16000
y = - 16000/-25
y = 640
x = 1650 - y = 1650 - 640
x = 1010
Answer:
Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.
So the equation here is
95*(1+x) = 109.25
solve for x
1+x = (109.25/95)
x = (109.25/95) -1
x = .15 or 15%
