Answer: See below
Step-by-step explanation:
<u>Given:</u>
AB = CD and BC = DE
<u>To prove:</u>
AC = CE
Statements Reasons
- AB = CD Given
- AB + CB = CD + BC Addition property of equality
- AB + BC = CD + DE Given: BC = DE
- AC = CE By segment addition: AB + BC = AC and CD + DE = CE
Therefore, AC = CE has been proved
(750m) - 1050 = b
1800 - 1050 = 750 dollars lost.
So (750m) - 1050 = b will give you the balance.
You can’t solve this, not enough information
Answer:
i)W = 2500 / T
ii) W = 500 Tons
iii) grad W(10°) = - 25î
iv) The formulation is not practical
Step-by-step explanation:
i) Write an equation describing the use of coal
As use of coal is inversely proportional to the average monthly temperature
if W is use of coal in tons/per month then
W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions
k = ?? we know that when T = 25° W = 100 tons the by subtitution
W = k/T 100 = k /25 k = 2500 Tons*degree
Then final equation is:
W = 2500 / T
ii) Find the amount of coal when T = 5 degrees
W = 2500 / 5
W = 500 Tons
iii)
The inverse proportionality implies that W will decrease as T increase.
The vector gradient of W function is:
grad W = DW(t)/dt î
grad W = - 2500/T² î
Wich agrees with the fact that W is decreasing.
And when T = 100°
grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î
iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical
21515754 people total* 0.38= 8175986.52 people
Final answer: C