Answer:
y = 15
Step-by-step explanation:
angle poq + angle qor equals mpor (120)
4y + 3y + 15= 120
7y+15=120
subtract 15 from both sides
7y=150
divide both sides by 7
y=15
check:
4(15) + 3(15) + 15 equals 120
60 + 45 + 15 = 120
120 = 120
Step-by-step explanation:
1.
Given that,
L = 18 in
, w = 20 in
, h = 16 in
The surface area of the box is given by :
SA= 2lw + 2lh + 2wh
Put all the values,
SA= 2lw + 2lh + 2wh
= 2(lw+lh+wh)
= 2(18(20)+18(16)+20(16))
= 2 (968)
= 1936 in²
2.
L= 10.5 in
, W= 15.5 in
, H= 20 in
The surface area of the box is given by :
SA= 2lw + 2lh + 2wh
Put all the values,
SA= 2lw + 2lh + 2wh
= 2(lw+lh+wh)
= 2(10.5(15.5)+10.5(20)+15.5(20))
= 2 (682.75)
= 1365.5 in²
Hence, this is the required solution.
The first integral in the table matches the form in the problem, with
... u = x, a = 2, b = 5.
Then the profit function is
... p(x) = 2(15x-4)/(375)√((2+5x)³) - 1501.09
(Without the added constant, the function p(1) evaluates to about 1.09.)
A graph shows the number of sales required for a $12000 profit is about 47 cars.
Sale of 75 cars per week will result in a profit of about p(75) ≈ $42,263.
The answer would be percent decrease because if it started at 50 and turned to 40, it lowered since we know 50 is higher than 42 so it dropped by 8 since 8 divided by 50 0.16 and 0.16 times 100 EQUALS 16%