Answer:
C.) 418 cm²
I hope this helped you : )
Step-by-step explanation:
First, you find the area of the square:
19 cm x 19 cm = 361 cm
Next, you find the area of the triangle:
(19 cm x 6 cm) ÷2 =57 cm
Last, you add the two:
361 cm + 57 cm = 418 cm²
First, square the entire problem. Then add the n's and subtract 10 from 5. You will then get 2n-5=0. Add 5 to both sides, then divide by two to get the answer. (2n=5, n=2.5)
We can write that as a function:
where 
is the number of price reductions. We can see that it is a quadratic function which has the biggest value at P = (p, q). It means that p is the number of reductions which results in the biggest profit.
It means that it's the best to make 2 price reductions for the company. The tickets should be sold for $200 - 2 * $20 = $160. It results in 2 * 50 more tickets sold which is 300 + 100 = 400.
Answer:
Ticket price: $160
Number of tickets: 400
55°
Step-by-step explanation:
110+15+x =180
x = 180 - 125
x = 55°
3(2b + 3)² = 36
Divide both sides by 3.
3(2b + 3)² / 3 = 36/3
(2b + 3)² = 12
Take the square root of both sides.
√(2b + 3)² = √12
(2b +3) = +√12 or -√12
Solving when:
2b + 3 = +√12 2b + 3 = -√12
2b = √12 - 3 2b = -√12 - 3
b = (√12 - 3)/2 √12 ≈ 3.46 b = (-√12 - 3)/2
b ≈ (3.46 - 3)/2 b ≈ (-3.46 - 3)/2
b ≈ 0.46/2 b ≈ -6.46/2
b ≈ 0.23 b ≈ -3.23
Therefore b ≈ 0.23 or -3.23
Hope this helps.
