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Citrus2011 [14]
3 years ago
13

Can someone help me with this question

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Step-by-step explanation:

Given: diameter = 16 in

hence radius, r is 16 ÷ 2 = 8 in

a) notice that the fan blades divide the circle into 3 equal sectors.

Each sector is hence 1/3 of the entire circumference of the circle

Arc Length of each sector (between blades),

=  (1/3) x circumference

= (1/3) x 2πr

= (1/3) x 2 x 3.142 x 8

= 16.76 in (Answer)

b) similarly, the area between the blades

= (1/3) x πr²

= (1/3) x 3.142 x 8²

= 67.03 in² (answer)

c) The angular velocity is the radians per second that the tip moves

It is given that it moves 8π radians in 2 seconds

hence in 1 second, we expect the tip to move,

8π ÷ 2 = 4π rad/s (Answer)

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11.
Mrrafil [7]

Answer:

2 should be distributed as 2y + 16; y = 8

Step-by-step explanation:

We have to distribute 2, then:

Now we have to sum (-2y) in both sides of the equation:

Finally we have to divide both sides of the equation in 2:

Then the answer is 2 should be distributed as 2y + 16; y = 8

Hope this helps.

8 0
4 years ago
Factor x^3-4x^2-3x+18=0 given that 3 is a zero.
Mandarinka [93]

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0


So what you have is a quadratic

  • x^2 - x - 6 = 0 which will factor
  • (x - 3)(x + 2) = 0
  • x - 3  = 0
  • x = 3
  • x + 2 =0
  • x = - 2
  • (x - 3)(x - 3)(x + 2 ) = 0

The answer is B

3 0
3 years ago
How do you figure out 3h = 120
cestrela7 [59]

Answer:

h=40

Step-by-step explanation:

3h = 120

Divide 3 on both sides of the equation.

\frac{3h}{3}=\frac{120}{3}

h=40

5 0
3 years ago
Read 2 more answers
Write an equation of a line that passes through (-6, 1), parallel to y = 2x – 6.
Eddi Din [679]

Answer:

y = -1/2x - 2

Step-by-step explanation:

If it's parallel, that means that the slope is the opposite of the one in the given equation, meaning that 2 would be flipped and turned negative into -1/2.

Then, fill in the x and y values to get the y-intercept.

1 = -1/2(-6) + b

1 = 3 + b

-2 = b

So your answer is y = -1/2x - 2

4 0
3 years ago
PLEASE HELP QUICKLY!!: Geometry
Rzqust [24]
These 2 angles are "vertical angles."  Thus, angle 1 = angle 4.

Therefore, 6x+1 = 8x-17.  Solving for x, 2x = 18 and x = 9 (answer)
7 0
3 years ago
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