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3 years ago

Is it possible to trisect any angle using only a compass and a straight edge

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

Answer:

NO , an angle is not trisected using only a compass and a straight edge.

Step-by-step explanation:

We are given two tools a compass and a straight edge

We need to tell if an angle is trisected using them or not.

Answer is NO , an angle is not trisected using only a compass and a straight edge.

When we draw a semicircle by point pointer of compass at vertex of angle and then draw a line using points we get when semicircle intersects the arms of the angle. We get angle Bisection.

We again try to bisect we get four equal angles not Three.

So It is impossible to make odd numbers of equal angles from a given angle using a compass and a straight edge.

xeze [42]3 years ago

4 0

Hello from MrBillDoesMath!

Answer:

No. That problem cited is one of 3 great unsolved problems of antiquity. See https://en.wikipedia.org/wiki/Angle_trisection for details.

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Diff. / Original amount= % of increase or decrease

V125BC [204]

Answer:

% increase = $\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%$

% decrease = $\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%$

Step-by-step explanation:

Percentage Increase:

Let there be an original number. If it increased to a certain value we can calculate the percentage increase value with the help of following formula:

% increase = $\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%$

Percentage Decrease:

Let there be an original number. If it decreases to a certain value we can calculate the percentage decrease with the help of following formula:

% decrease = $\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%$

6 0

3 years ago

Carol has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 cup of yogurt. What is the maximum number of smoothies

nikdorinn [45]

Answer: The answer is 4.

Step-by-step explanation: Given that -

The number of cups of yogurt that Carol has to make smoothies is given by

$c_y=1\dfrac{5}{8}=\dfrac{13}{8},$

and the number of cups of yogurt that each smoothies uses is given by

$c_s=\dfrac{1}{3}.$

Let 'n' be the number of smoothies that Carol can make with the available yogurt, then we have

$n\times c_s\leq c_y\\\\\\\Rightarrow n\times \dfrac{1}{3}\leq \dfrac{13}{8}\\\\\\\Rightarrow n\leq\dfrac{39}{8}\\\\\\\Rightarrow n\leq 4\dfrac{7}{8}\\\\\\\Rightarrow n=4.$