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Vika [28.1K]
3 years ago
15

Grain is stored in cylindrical structures called silos. Find the volume of a silo with a diameter of 11.1 feet and a height of 2

0 feet.
Mathematics
1 answer:
Pepsi [2]3 years ago
4 0
1.) Find the area of the circle at the top ( A= pi x radius squared )
2.) radius is 5.55 (half of 11.1)
3.) A= pi x 5.55 squared
4.) area of circle =96.77
5.) multiply area of circle(96.77) by height (20)
6.) answer = 1935.38
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Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
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Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
  • p × q = c / a = 12 / 3 = 4

{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

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What is the square root of 2
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Ethan Doran is a physical therapist. His biweekly salary is $3,985. What is his annual salary? (Hint: You need to know how many
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Graph the image of this figure after a dilation with a scale factor of 1/3 centered at the origin.
posledela

Answer:

see attached diagram

Step-by-step explanation:

A dilation with a scale factor of \dfrac{1}{3} centered at the origin has a rule:

(x,y)\mapsto\left(\dfrac{x}{3},\dfrac{y}{3}\right).

Then the image of the triangle ABC is triangle DEF(see attached diagram) with coordinates

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  • F\left(\dfrac{6}{3},\dfrac{6}{3}\right)\Rightarrow F(2,2).

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