Equivalent Fractions for 9/25:
9/25, 18/50, 27/75, 36/100, 45/125, 54/150, 63/175, 72/200, 81/225, 90/250, and so on ...
Answer:
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Complete Question
Write a rational equation that relates the desired percentage p, to the amount A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid, where 0<p<100 . What is a reasonable restriction on the set of possible values of ? Explain your answer.
Answer:
100(0.1 + 0.3A)= (1 + A) P
Step-by-step explanation:
A of a 30% solution that needs to be added to 1 liter of 10% acid solution to make a blend that is p% acid,
Hence,
10% of 1 + 30% of A = p%(1 + A)
0.10 + 0.3A = (p/100)(1 + A)
Divide both sides by 1 + A
0.1 + 0.3A/ 1 + A = p/100
Cross Multiply
100(0.1 + 0.3A) = 1 + A(p)
From the above calculation, we can see that, the blend that would be formed is not lower than 10% or greater than 30%
10% < p< 30%
Answer:
a. Find the measure of each central angle.
The central angle of a circle = 360 °
Now Pie is cut into 10 equal sectors
Angle of each sector is given by
Angle of sector = Total central angle/number of sectors
Hence , the central angle of one slice of pie is 36°
b. If the diameter is 50 in., find the length of an arc of one of the sectors.
length of an arc of one of the sectors =
Answer:
C. 
Step-by-step explanation:
The rectangular form of a complex number is represented by the following formula:
(1)
Where each coefficient can be determined as function of the polar components:
(2)
(3)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number, measured in radians.
If we know that 
and 
, then the rectangular form of the number is:
The rectangular form of 
is . The correct answer is C.
