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evablogger [386]
3 years ago
8

How to factor Trinomial?

Mathematics
2 answers:
Nana76 [90]3 years ago
8 0

Answer:(x+10)(x+9)

Step-by-step explanation:

x^2+19x+90

x^2+10x+9x+90

x(x+10)+9(x+10)

(x+10)(x+9)

Delicious77 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

(x+9)(x+10)

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At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom
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In terms of probablity (A - appetizer oredered, B - desert ordered)

P(A)=63%

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A cone-shaped paper drinking cup is to be made to hold 27 cm of water. Find the height h and radius r of the cup that will use t
andreyandreev [35.5K]

Answer:

  • r = 2.632 cm
  • h = 3.722 cm

Step-by-step explanation:

The formula for the volume of a cone of radius r and height h is ...

  V = (1/3)πr²h

Then r² can be found in terms of h and V as ...

  r² = 3V/(πh)

The lateral surface area of the cone is ...

  A = (1/2)(2πr)√(r² +h²) = πr√(r² +h²)

The square of the area is ...

  T = A² = π²r²(r² +h²)

Substituting for r² using the expression above, we have ...

  T = π²(3V/(πh))((3V/(πh) +h²) = 9V²/h² +3πVh

We want to find the minimum, which we can do by setting the derivative to zero.

  dT/dh = -18V²/h³ +3πV

This will be zero when ...

  3πV = 18V²/h³

  h³ = 6V/π . . . . . multiply by h³/(3πV)

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  h = 3∛(6/π) ≈ 3.7221029

The corresponding value of r is ...

  r = √(3V/(πh)) = 9/√(π·h) ≈ 2.6319242

The optimal radius is 2.632 cm; the optimal height is 3.722 cm.

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The second derivative test applied to T finds that T is always concave upward, so the value we found is a minimum.

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Interestingly, the ratio of h to r is √2.

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