Perimeter of rectangle:
P = 2(L + W)
P = 250 (given)
L = 3W - 35 (given)
250 = 2(3W -35 + W) ↔ 125 = 4W - 35
4W = 125 +35 =160 And W = 40 ft
And L = 3x40 - 35 = 85 ft
Step-by-step explanation:
cot²x − cot x − 42
(cot x − 7) (cot x + 6)
11. x² - 7x = 0
x(x) - x(7) = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
+ 7 + 7
x = 7
Solution Set: {0, 7}
12. 3x² - 4x = 20x + 27
+ 4x + 4x
3x² = 24x + 27
3x² - 24x - 27 = 0
x = -(-24) ± √((-24)² - 4(3)(-27))
2(3)
x = 24 ± √(576 + 324)
6
x = 24 ± √(900)
6
x = 24 ± 30
6
x = 4 ± 5
x = 4 + 5 or x = 4 - 5
x = 9 or x = -1
Solution Set: {9, -1}
Answer:
h=0.344
Step-by-step explanation:
4.52-5h=2.8
Subtract 4.52 from both sides
-5h=-1.72
Divide -5 from both sides
h=0.344
