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KatRina [158]
3 years ago
13

If a circle with a diameter of 4 inches rotates 1000°, what distance will any one spot on

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

We first convert from degrees to radians multiplying by π/180:

θ = 1000° × π/180 = 17.45 rad

The radius is:

r = d/2 = 4 in /2 = 2 inch

So, The distance traveled is given by the product of the angle in radians and the radius. This is:

d = θr = (17.45 rad)(2 inch) = <u>34.9 inch</u>

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V125BC [204]

Answer:

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8 0
3 years ago
NEED HELP WITH THESE
faltersainse [42]

Step-by-step explanation:

1 .f(x)=x^{2}-x+1

   f(-1)= (-1)-(-1)+1

   f(-1)= 1+1+1

      = 3

3.f(x)=x^{2}-x+1

 f( 1)=(1)-1+1

  f( 1)=1-1+1

        =1

5. f(x)=x^{2}-x+1

    f(3)=(3)^{2}-3+1

         = 9-3+1

          =7

2. g(x) = 5 - 3x

 g( -8)=5-3(-8)

g( -8)=5+24

        =29

4.g(x) = 5 - 3x

g(5)=5-3(5)

 g(5)=5-15

       =-10

6.g(x) = 5 - 3x

   g(-3)=5-3(-3)

 g(-3)=5+9

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3 0
3 years ago
Use the quadratic formula to solve x² + 9x + 10 = 0.<br><br> What are the solutions to the equation?
jok3333 [9.3K]

Answer:

-1.30\ and\ -7.70 (2 decimal places)

Step-by-step explanation:

Quadratic Formula: x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

-----------------------------------------------

x^2+9x+10=0

Plug in values:

x=\frac{-9\pm \sqrt{9^2-4\cdot \:1\cdot \:10}}{2\cdot \:1}

First value of x:

x=\frac{-9+\sqrt{41}}{2}=-1.30 (2 decimal places)

Second value of x:

x=\frac{-9-\sqrt{41}}{2}=-7.70 (2 decimal places)

6 0
3 years ago
A car wash washes 68 cars in 8 hours. At this rate, how many cars are washed in 1 hour?
myrzilka [38]

Answer:

8.5 (If just pure cars then 8.)

Step-by-step explanation:

To find this, just divide 68/8 to find how many cars are washed in an hour. Plugging it into a calculator, we find out that it is 8.5. If you need elaboration, just comment.

6 0
3 years ago
Read 2 more answers
If the graph of the function h is defined by = h(x)+x^2+9 is translated vertically downward by 9 units, it becomes the graph of
natulia [17]
The answer is g(x) = x².
Solution:
The graph of h(x) = x²+9 translated vertically downward by 9 units means that each point (x, h(x)) is shifted onto the point (x, h(x) - 9), that is, 
     (x, h(x)) → (x, h(x) - 9)
The translated graph that represents the function is defined by the expression for g(x):
     g(x) = h(x) - 9 = x² + 9 - 9 = x²

h(x) = x²+9 → g(x) = x² shows that the graph of the equation g(x) = x² moves the graph of h(x) = x²+9 down nine units.
6 0
3 years ago
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