Ignore the height (3) and concentrate on the length and width of the bottom:
The bottom is 15 cm by 3 cm, and so the diagonal of the bottom is
sqrt(15^2 + 3^2) = sqrt(225+9) = sqrt(334).
Answer:
Here is the short answer. The U.S. Environmental Protection Agency states that the average weight of a car in 2018 was 4,094 pounds.
Step-by-step explanation:
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Answer:
672 feets
Step-by-step explanation:
Using the solution diagram attached, the vertical height, h of the lighthouse ;
Using trigonometry :
Tanθ = opposite / Adjacent
Tan 2 = h / 804
h = tan 2 * 804
h = 28.076 feets
Using h, we can obtain the distance CB :
Tan θ = opposite / Adjacent
Tan 2 = 28.076 / CB
CB = 28.076 / Tan 12°
CB = 132.08860 feets
Distance between A and B
804 - 132.08860
= 671.9 feets
