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:
If there is a sequence and if we are to find its 87th term we must have the general term formula for the sequence.
Normally for sequences which follow a pattern there will be a formula for nth term.
Example is arithmetic sequence nth term = a+(n-1)d where a is the I term and d the common difference.
Similarly for geometric sequence nth term
= is the nth term
Thus to find the 87th term, we must be able to find out the pattern of the sequence by which any term is related to its previous term
Either general term formula or recurring formula should be given to get the 87th term
Step-by-step explanation: is arithmetic sequence nth term = a+(n-1)d where a is the I term and d the common difference. Still stuck? Get 1-on-1 help from an expert tutor now.
Would need the net to answer. but to find the answer you need to find the slant height of the square pyramid, the slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the pythagorean Theorem
Answer:
Yes
Step-by-step explanation:
There are 4 cups in a quart.
2 times 5 = 10
10>4
