Answer:
Radius of the circle is <em>15 inches.</em>
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Step-by-step explanation:
Relation between length of arc, radius and the angle subtended by the arc on center is:

where
is the central angle in radians subtended by arc
is the length of arc
is the radius of arc
We are Given the following details:


We know that 
Converting
to radians:
radians
Putting the values of
and
to find the value of 

Hence, Radius of the circle is <em>15 inches.</em>
Answer:
y=2/3x-1 is 3/2
y=-2/3x-1 is x=3/2
y=-3/2x-1 is x= 2/3
Step-by-step explanation:
Let us take the case of first type of tea
Cost of 10 kg of tea one = $20
Then
Cost of 1 kg of tea one = (20/10) dollars
= 2 dollars
Now let us take the case of the second kind of tea
Cost of 10 kg of tea = $23
Then
Cost of 1 kg of tea = (23/10) dollars
= 2.3 dollars
So
The mixture of 1 kg of tea one
and 1 kg of second type of tea will cost = (2.0 + 2.3) dollars
= 4.3 dollars
Then the cost of 2kg mixture of tea costs = 4.3 dollars
So
The cost of 10 kg mixture will cost = (4.3/2) * 10 dollars
= 4.3 * 5 dollars
= 21.5 dollars
Then
The amount of profit made by selling 10 kg tea at $38 = (38 - 21.5) dollars
= 16.5 dollars
So
Percentage of profit made = (16.5/21.5) * 100
= 1650/21.5
= 76.74 percent
So the percentage of profit made is 76.74%.
You would first calculate the price per pound and then use that to calculate the correct price of each bag.

F ∪ H is defined as the set that consists of all elements belonging to either set F or set H (or both).
F ∩ H is defined as the set composed of all elements that belong to both F and H