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ivolga24 [154]
4 years ago
15

A ventilation fan is installed in a vertical position. As the fan rotates, the distance, in inches, between the tip of a fan bla

de and the ceiling is modeled by y = Equals 6 cosine (2,000 pi x) + 11, where x is time in minutes.
How many times does the fan rotate each minute?

A 1,000
B 2,000
C 4,000
D 6,000
Mathematics
2 answers:
Vsevolod [243]4 years ago
8 0

Answer:

6,000

Step-by-step explanation:

Hard to explain but basically had to mega-zoom into my graphing calculator lol

11Alexandr11 [23.1K]4 years ago
4 0

Answer:

1,000

Step-by-step explanation:

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(x+x)^2 × -(x×(-1))=4+x-x^2 <br> solve for x, show work.
Anna71 [15]

Answer:

x = 1

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

Step-by-step explanation:

(x+x)^2 × -(x×(-1))=4+x-x^2

solve for x, show work.

(x+x)^2 ×  -(x×(-1))     =   4+x-x^2

Simplify:

(2x)^2  * (-(-x))  =  4 + x -  x^2

4x*x * (-(-x)) = 4 + x - x*x

4*x*x*x  = 4  + x - x*x

4*x*x*x - 4  =  x *(1 - x)

4* (xxx - 1)  = x * (1- x)

4* (x - 1)*( x*x +x + 1)  =  x (1 - x)

4( xx + x + 1)  = -x

x = 1 is a solution.

4xx + 4x + 4 = -x

4xx + 5x + 4 = 0

x = -5/8  +   root(25 - 4*4*4) / 2*4

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

also x = 1

6 0
3 years ago
YOU KNOW THAT THE SUM OF THE ANGLES IN A QUADRILATERAL IS 360 DECREES. HOW CAN THIS HELP YOU REMEMBER THAT THE SUM OF THE ANGLES
gtnhenbr [62]

Answer:

that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.

5 0
2 years ago
Sin(60-theta)sin(60+theta)​
ehidna [41]

Step-by-step explanation:

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from difference of two squares:

{ \boxed{(a - b)(a + b) = ( {a}^{2} -  {b}^{2} ) }}

therefore:

=  \{ {( \frac{ \sqrt{3} }{2}) }^{2}  { \cos }^{2}  \theta \} -  \{ {( \frac{ \sqrt{3} }{2} )}^{2}  { \sin }^{2}  \theta \} \\  \\  =  \frac{3}{4}  { \cos }^{2}  \theta -  \frac{3}{4}  { \sin}^{2}  \theta

factorise out ¾ :

=  \frac{3}{4} ( { \cos }^{2}  \theta  -  { \sin}^{2}   \theta) \\  \\  = { \boxed{ \frac{3}{4}  \cos(2 \theta) }}

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3 years ago
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3 years ago
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Mr. Phan fills a portion of his pool with water on Monday. Then on Tuesday, he fills the pool with water coming from a hose at a
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Answer: .6 ft. every hour

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3 years ago
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