Answer:
The area
Step-by-step explanation:
Given
Required
What does 49 represent?
In the context of the question, 49 represents the area
We have:
--- side length
So:
Determine the remainder when (x3 – 5x2 + 14x – 5) is divided by (x + 3).
2 answers:
Answer:
-119
Step-by-step explanation:
The complete answer of the question is x2-8x+38 with a remainder of -119
So, The remainder of the question (x3 – 5x2 + 14x – 5) divided by (x + 3) will be -119. The picture of the solution of given problem is attached
The complete answer of the question is x2-8x+38 with a remainder of -119
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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:
Option <u>C. 13.3 in</u>.
Step-by-step explanation:
Here's the required formula to find the radius of the bike tire :
- C = circumference
- π = 3.14
- r = radius
Substituting all the given values in the formula to find the radius of the bike tire :
Hence, the radius of bike tire is 13.3 inches.