Answer:
<em>A.</em>
<em>The student made an error in step 3 because a is positive in Quadrant IV; therefore, </em>
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Step-by-step explanation:
Given



Required
Where and which error did the student make
Given that the angle is in the 4th quadrant;
The value of r is positive, a is positive but b is negative;
Hence;

Since a belongs to the x axis and b belongs to the y axis;
is calculated as thus

Substitute 


Rationalize the denominator


So, from the list of given options;
<em>The student's mistake is that a is positive in quadrant iv and his error is in step 3</em>
For red there would be 1/22 and for blue there would be 1/22
The area would be 83.67 cm.
A semicircle is half of a circle. The perimeter of the semicircle would be half of the perimeter (circumference) of the entire circle. The formula for circumference is:
C=πd
Using our information, we have
22.92 = 0.5(3.14)d
22.92 = 1.57d
Divide both sides by 1.57:
22.92/1.57 = 1.57d/1.57
14.6≈d
Since the diameter is 14.6, the radius is 14.6/2 = 7.3.
We use the radius for the area of the semicircle:
A=0.5πr²
=0.5(3.14)(7.3)²
=83.67
Answer: True.
The ancient Greeks could bisect an angle using only a compass and straightedge.
Step-by-step explanation:
The ancient Greek mathematician <em>Euclid</em> who is known as inventor of geometry.
The Greeks could not do arithmetic. They had only whole numbers. They do not have zero and negative numbers.
Thus, Euclid and the another Greeks had the problem of finding the position of an angle bisector.
This lead to the constructions using compass and straightedge. Therefore, the straightedge has no markings. It is definitely not a graduated-rule.
As a substitute for using arithmetic, Euclid and the Greeks learnt to solve the problems graphically by drawing shapes .