Answer: The central angle of the arc is 162 degrees.
Step-by-step explanation: The information available are as follows;
Circumference of the circle equals 10. Length of an arc equals 9/2. The circumference of a circle is given as;
Circumference = 2Pi x r
That means 2Pi x r = 10.
Also the length of an arc along the same circle is 9/2. Length of an arc is calculated as;
Length of arc = (X/360) x 2Pi x r
Where X is the central angle of the arc
That means;
9/2 = (X/360) x 2Pi x r
We can now substitute for the known values as follows
Length of an arc = (X/360) x 2Pi x r
9/2 = (X/360) x 10
9/2 = 10X/360
By cross multiplication we now have
(9 x 360)/(2 x 10) = X
3240/20 = X
162 = X
The angle at the center of the arc is 162 degrees.
Answer:
Multiply 5/7 by 3
Step-by-step explanation:
To find the quotient (division) multiply by the reciprocal. The reciprocal of 1/3 is 3.
Answer:
the answer is b
Step-by-step explanation:
the answer is b
Answer:
at least 4674 flags should be sold to show a profit
Step-by-step explanation:
The net profit is defined as the revenue (income from selling the flags) minus the cost (of producing the flags).
Since we want that profit (P) to be larger than zero, we want the Revenue (R) to be larger than the cost (C):
P = R - C
we want P > 0 (zero) then we want: R - C > 0 which means R > C
We can now replace R and C by their expressions in terms of x (the number of flags produced):
36 x > 32 x + 18695
we subtract 32 x from both sides to gather all terms in the variable "x" on the left hand side of the equation:
36 x - 32 x > 18695
4 x > 18695
Now we solve for x by dividing both sides by 4 (thus isolating the unknown x):
x > 18695 / 4
x > 4673.75
Therefore x must be at least the following integer to 4673.75, that is : 4674
