1. Calculate how many hours passed between her temperature checks. 8 p.m to 8 a.m. is 12 hours.
2. Calculate the total change in temperature. 36 - 54 is -18, so the temperature went down by 18 degrees.
3. We are looking for degrees per hour, so we put derees(18) over hours (12) to get 18/12.
4. Calculate by dividing. The answer is 1.5 degrees per hour.
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
For three lengths two be able to be the sides of a triangle, the longest side must be less than the sum of the two other sides.
A.
25 is the longest side.
16+10=26
25<26
It is possible.
B.
15 is the longest side.
13+12=25
15<25
It is possible.
C.
18 is the longest side.
5+10=15
18 is NOT less than 15.
It is not possible.
D.
15 is the longest side.
8+8=16
15<16
It is possible.
Therefore, the answer is c.
Hope this helps!
17 x 2 = 34
54- 34 = 20
20/2 = 10 which is the width of the garden
17+5= 22
22 x 10= 220feet = the new area
Answer:
(-2,6)
Step-by-step explanation: