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vlabodo [156]
3 years ago
8

A pinecone drops from a tree branch that is 20 feet above the ground. The function h = –16t2 + 20 is used. If the height h of th

e pinecone is in feet after t seconds, at about what time does the pinecone hit the ground?
Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

  t ≈ 1.118 . . . seconds

Step-by-step explanation:

Set h=0 and solve for t.

  0 = -16t^2 +20

  0 = t^2 -20/16 . . . . . . . . . . . . . . . divide by the coefficient of t^2

  t = √(5/4) = (1/2)√5 ≈ 1.118 . . . . . add 5/4 and take the square root

The pinecone hits the ground about 1.12 seconds after it drops.

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In a right triangle, one of the legs is 5 cm smaller than the hypotenuse, and the other leg is 10 cm smaller than the hypotenuse
nata0808 [166]

Answer:

25 cm.

Step-by-step explanation:

If the hypotenuse is  x cm long the 2 legs are  x-5 and x-10 cm long.

So by the Pythagoras theorem:

x^2 = (x - 5)^2 + (x - 10)^2

x^2 = x^2 - 10x + 25 + x^2 - 20x + 100

x^2 - 30x + 125 = 0

(x - 5)(x - 25) = 0

x = 5, 25

We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.

3 0
3 years ago
What is the value of x in the equation 25x2 = 16. A. 5/4. B. 4. C. 4/5. D. 16/25
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Answer:

x = ⅘

Step-by-step explanation:

For clarity, exponents should be marked with a ^.  25x² can be written as 25x^2.

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x = √(16/25) = √16/√25 = 4/5

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Answer

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