Answer:
(a) P = 2x + 2r + 2πr
(b) x = ½(P - 2r - 2πr)
(c) x = 123 feet
Step-by-step explanation:
See Attachment for sketch of the track
Solving for (a): Perimeter of the track
This is calculated by adding the perimeter of the rectangle to the 2 semicircles as follows.
P = Perimeter of Rectangle + Perimeter of 2 Semicircles
P = 2(x + r) + 2 * πr
[Where r is the radius of both semicircles]
Open bracket
P = 2x + 2r + 2πr
Solving for (b): Formula for x
P = 2x + 2r + 2πr
Make x the subject of formula
2x = P - 2r - 2πr
Divide both sides by 2
x = ½(P - 2r - 2πr)
Solving for (c): the value of x when r = 50 and P = 660
Substitute the given values in the formula in (b) above
x = ½(P - 2r - 2πr)
x = ½(660 - 2 * 50 - 2π * 50)
x = ½(660 - 100 - 100π)
x = ½(560 - 100π)
Take π as 3.14
x = ½(560 - 100 * 3.14)
x = ½(560 - 314)
x = ½ * 246
x = 123 feet
Answer:

Step-by-step explanation:
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The "<em>constant rate of change</em>" is also known as the slope (in straight line equations).
The equation is in <em>slope-intercept form</em>.
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<em>Slope-Intercept Form is: </em>
<em></em>
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<em>Since '5' takes up 'm's spot, it is the slope, or the constant rate of change. </em>
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<em>Hope this helps.</em>
Answer:
Step-by-step explanation:
B, y=5x
here, 7 cellphone,9 Tv, 12airconditioners = 8723
5 cellphone,7 Tv, 12airconditioners = 6523
or, 7,9,12=8723
-5,7,9=6523
______________
2,2,3=2191
then,
to make 4 cellphone , 4 tv set , 6 air conditioners add twice the answer ,
2,2,3=2191
+2,2,3=2191
____________
4,4,6=4382
hence,
the price of 4 cellphone , 4 tv set and 6 air conditioners is 4382 #
solved by
<h3> pratik</h3>