We are looking for the inner perimeter of the track. Since there are two semicircles, these mix to form one full circle so we can use the formula to find the circumference of the circle with a diameter of 60 m, which was given to us. With a diameter of 60m, the radius will be 30m. Now we can solve this problem.
C = 2πr
C = 2π(30)
C = 60π
The semicircle ends of the track are a distance of 60π m, and now we just need to add the lengths of the inner track which are 100 m each. So:
P = 60π + 100m + 100m
P = 200 + 60π
P = 388.5 m
Answer:
1. Linear
2. Not Linear
3. Linear
4. Linear
Step-by-step explanation:
<u>Function 1</u>
Linear, follow a sequence of 4, 3
<u>Function 2</u>
Not Linear, does not follow a sequence
<u>Function 3</u>
Linear, follow a sequence of 1, 0
<u>Function 4</u>
Linear, follow a sequence of 3, -1

total number of students : 1240
Answer:
x = 36
Step-by-step explanation:

Subtract x and 36 from both sides.

Divide both sides by -1.

Square both sides.

Subtract 144x from both sides.

Factor the right side.



Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.
Check x = 36:





Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.
Answer:
a) 42°F < x < 176°F
b) The inequality graph is attached.
c) No, This is because at 20° F benzene would not be in liquid form but in solid form.
Step-by-step explanation:
According to the Question,
a) For the benzene to remain in liquid form, the temperature of benzene must be less than the boiling point and greater than the boiling point. Let x be the temperature of benzene, For benzene to remain as liquid, its temperature must be between:
42°F < x < 176°F
b) The inequality graph is attached. The graph shows that the temperature of benzene must be between 42°F and 176°F so that it would be a liquid. The Closed circles represent that it is greater than 2.
c) No, This is because at 20° F benzene would not be in liquid form but in solid form. Because the temperature cannot go below 42 before it freezes, she would not have been able to conduct her research .