Answer: r = C/(2pi)
This is the same as writing 
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Explanation:
pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)
Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so
C = 2pi*r
C/(2pi) = r
r = C/(2pi)
in which we can write it like
So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.
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Extra Info (Optional Section):
As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...
r = C/(2pi)
r = C/(6.28)
r = 628/(6.28)
r = 100
So the radius would be roughly 100 feet.
Answer:
that is really so difficult ? what do you not understand here ? please let me know, if you need any further explanations.
you know what the perimeter is ? if it's the circumference, the way around the object. in other words, the distance you have to walk, when going along all sidelines of the object.
so the perimeter is the sum of of all side lengths.
56 = x - 1 + 3x + 3x + 1 = 7x
x = 8
that gives us the side lengths :
x - 1 = 7 cm
3x = 21 cm
3x + 1 = 22 cm
the formula for the area of a triangle
A = baseline × height / 2
the advantage of a right-angled triangle in this regard is that the sides enclosing the 90 degree angle are already "acting" as baseline and the height (standing on the baseline with a 90 degree angle).
so, we can simply say here, the 3x side is the baseline, and the x-1 side is also the height.
therefore,
A = 21×7/2 = 147/2 = 73.5 cm²
Answer:
The zeros are:
- The function has three distinct real zeros.
Hence, option (B) is true.
Step-by-step explanation:
Given the expression
Let us determine the zeros of the function by putting h(x) = 0 and solving the expression
switch sides
as
so
Using the zero factor principle
so
Thus, the zeros are:
It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
- The function has three distinct real zeros.
Hence, option (B) is true.
Answer:
Check the explanation
Step-by-step explanation:
Cost of over reserving full cost tickets, Co = $440 ( empty seats as we cannot get even the discounted revenue)
Cost of under reserving Cu = 770-440 = $330 ( because you sell more discounted tickets)
Now critical ratio = Cu / (Cu+Co) = 330/770 = 0.42857
Now for above critical ratio ,z = -0.18 ( refer standard normal distribution table)
Optimal protection level = mean +z*standard deviation = 100-0.18*25 = 95.5 = 96
The possible costs include: all the above. You may need to provide compensation to passenger and make alternative travel arrangements. Also passenger won't be happy by over booking and their will be loss of good will.
Answer:
1) f(3) means the temperature after 3 seconds
2) f(3) = 22 + 1.3(3) = 25.9
Temperature after 3 seconds is 25.9°C
3) f(t) = 35 means after t seconds, temperature was 35°C
4) 35 = 22 + 1.3t
1.3t = 13
t = 10 seconds
