A hawk soars an altitude of 1,800 ft. If the hawk descends to the ground in 45 min, what is the vertical speed?
1 answer:
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Answer:
12 in
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h(b₁ + b₂ )
where h is the height and b₁, b₂ the parallel bases
Given h = 6, b₁ = 8 and A = 60 , then
× 6 × (8 + b₂ ) = 60 , that is
3(8 + b₂ ) = 60 ( divide both sides by 3 )
8 + b₂ = 20 ( subtract 8 from both sides )
b₂ = 12
The length of the second base is 12 inches
Answer: the two factors are (5x + 3) and (2x + 1)
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.
Explanation:
I will find the two factors of 10x² + 11x + 3.
You can use either the quadratic formula of factor.
I will use the quadratic formula:
1)
x = -3/5 and x = -1/2
2) the factors are: x - (-3/5) = 0 and x - (-1/2) = 0
Simplify them.
3) x - (-3/5) = 0
5x + 3 = 0
4) x - (-1/2) = 0
2x + 1 = 0
5) Then the two factors are: (5x + 3) and (2x + 1).
6) verify:
(5x + 3)(2x + 1) = 10x² + 5x + 6x + 3 = 10x² + 11x + 3 which is the original expression.