Answer:
1 ≥ t ≤ 3
Step-by-step explanation:
Given
h(t) = -16t² + 64t + 4
Required
Determine the interval which the bar is at a height greater than or equal to 52ft
This implies that
h(t) ≥ 52
Substitute -16t² + 64t + 4 for h(t)
-16t² + 64t + 4 ≥ 52
Collect like terms
-16t² + 64t + 4 - 52 ≥ 0
-16t² + 64t - 48 ≥ 0
Divide through by 16
-t² + 4t - 3 ≥ 0
Multiply through by -1
t² - 4t + 3 ≤ 0
t² - 3t - t + 3 ≤ 0
t(t - 3) -1(t - 3) ≤ 0
(t - 1)(t - 3) ≤ 0
t - 1 ≤ 0 or t - 3 ≤ 0
t ≤ 1 or t ≤ 3
Rewrite as:
1 ≥ t or t ≤ 3
Combine inequality
1 ≥ t ≤ 3
Answer:
ft
Step-by-step explanation:
14x22=308
Answer:
16% = 73.6
Step-by-step explanation:
If 1% is = 4.6 then 16% is
1* 16 % = 4.6 * 16
16% = 73.6
Answer:
x=2
Step-by-step explanation:
Answer:
A(x) = (24 -2x)√(6(x -6))
Step-by-step explanation:
Heron's formula for the area of a triangle in terms of sides a, b, and c is ...
A = √(s(s -a)(s -b)(s -c))
where s is the semi-perimeter.
Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...
A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))
A = 2(12 -x)√(6(x -6))
