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dedylja [7]
2 years ago
7

Caleb ran eight laps around a circular track with a diameter of 160 feet how far did he run is 3.14 for pi round answer to the n

earest hundredth if necessary
Mathematics
1 answer:
chubhunter [2.5K]2 years ago
4 0

Answer:

4021.2ft

Step-by-step explanation:

C=pi•d

C=3.14•160

C=502.65

502.65•8= 4021.2

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A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola
Orlov [11]

Answer:

<em>The equation of the Parabola</em>

 <em>(y - 6 )² = 8 (x -6)</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

<u><em>Step(ii):-</em></u>

<em>The equation of the Parabola ( h,k) = (6 , 6)</em>

<em>( y - k )² = 4 a ( x - h )</em>

<em>(y - 6 )² = 4 (2) (x -6)</em>

<em>(y - 6 )² = 8 (x -6)</em>

<u><em></em></u>

3 0
3 years ago
Use the distributive property to write an equivalent expression.<br> 2(8v+2)
andreyandreev [35.5K]

Answer:

16v+4

Step-by-step explanation:

2(8v+2) = 16v+4

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2 years ago
Jeans are on sale for 80% of the original price of $60. What is the sale price? A.$12 B.$24 C.$36 D.$48
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Answer:

d 48

Step-by-step explanation:

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DedPeter [7]

Answer:

13.0 units

Step-by-step explanation:

To find the distance between two points, we use the formula

d = sqrt( (y2-y1)^2+ (x2-x1)^2)

   sqrt((-3--10)^2 + (-12--1)^2)

   sqrt( (-3+10)^2 + (-12+1)^2)

   sqrt( (7^2  + (-11)^2)

  sqrt( 49+121)

  sqrt( 170)

13.038

Rounding to the nearest tenth

13.0

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