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Elis [28]
3 years ago
11

A wheel of radius 10 inches is rotating 20°/sec. What is the linear speed in in/sec and the angular speed in RPM? (Round your an

swers to three decimal places) ____ in/sec ____ RPM What is the angular speed in radians/sec? ____ radians/sec
Mathematics
1 answer:
Assoli18 [71]3 years ago
3 0

9514 1404 393

Answer:

  a)  3.491 in/s

  b)  3.333 RPM

  c)  0.349 rad/s

Step-by-step explanation:

We know the arc length for a given radius and angle is ...

  s = rθ

so the linear speed along the arc is ...

  s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s

__

The rotation rate of 20°/s is an angular velocity of ...

  (20°/s)(60s/min)(1 rev/360°) = 3.333 RPM

__

In the first part, we found the angular speed to be π/9 radians/sec. That's about ...

  π/9 rad/s ≈ 0.349 rad/s

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Find the area of a triangle whose base is x^2+2x+4 and whose height is 2x^2x +2x+6
kkurt [141]
The base of the triangle is x² + 2x + 4
The height of the triangle is 2x² + 2x + 6
The area of the triangle is
A = (1/2) b h
Substituting
A = (1/2)(x² + 2x + 4)(2x² + 2x + 6)
Which can be expanded or factored
6 0
3 years ago
-5x+y=-3
serg [7]
(3)(-5x+y=-3)
(5)(3x-8y=24)

-15x+3y=-9
15x-40y=120

3y=-9
-40y=120

-37y=111
Divide both sides by -37

y=-3

To solve for x. Choose one equation from the given and plug what you get in Y.

I'll choose, -5x+y=-3
So, -5x+(-3)=-3
-5x=0
Divide both sides by -5
x=0/-5

Hope, this helps.
5 0
3 years ago
If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.
Readme [11.4K]

Answer:

b = 22.62^{o}

Step-by-step explanation:

Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.

Thus, to determine the value of b;

Sin θ = \frac{opposite}{hypotenuse}

Sin b =  \frac{20}{52}

         =  \frac{20}{52}

          = 0.38462

⇒ b = Sin^{-1} 0.38462

  = 22.6202

b = 22.62^{o}

The measure of angle E (= b) is 22.62^{o}.

         =

7 0
3 years ago
How many total inches are in 7 feet 4 inches and 4 feet 10 inches ??? A) 257 inches B) 130 inches C) 126 inches D) 146 inches wh
Gelneren [198K]
The correct answer is D, 146 inches.
7 x 12 = 84
4 x 12 = 48
84+48+4+10 = 146
5 0
4 years ago
Read 2 more answers
Can some explain steps​
Mashutka [201]

Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

Check the result:

Left side of the equation = 16

Right side = 10 + √(9 + 27)

                  = 10 + √36 = 16

5 0
3 years ago
Read 2 more answers
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