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3 years ago

9

What is the proof by reduction to absurdity?

1 answer:

Naddika [18.5K]3 years ago

5 0

Answer:

Reductio ad absurdum is a Latin phrase that means "reduction to the absurd". The phrase describes a kind of indirect proof. It's proof by contradiction and is a common form of argument. It shows that a statement is true because its denial leads to a contradiction or a false or absurd result.

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Find the area of a circle with a circumference of 2 pie

shusha [124]

We know that formula for circumference is 2πr

Since we have circumference of 2π, that would means 2π = 2πr.

We need to solve for r. We can divide both sides by 2π:

2π / 2π = 2πr / 2π

1 = r

So radius is 1.

Now the formula for area of circle is πr². So plug in r=1 and that would be

π(1)²

π

So area of circle is π.

Hope this helps.

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3 years ago

Kenyan bought 3.4 pounds of nails for his construction job. Each pound cost $1.59. How much did he pay for the nails? Round to t

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4 years ago

Two bicycles are traveling along perpendicular roads. Bicycle A is traveling due east at 4 mi/hr, and bicycle B is travelling du

nordsb [41]

Answer:

Step-by-step explanation:

Given

speed of cyclist A is $v_a=4 mi/hr$

speed of cyclist B is $v_b=6 mi/hr$

At noon cyclist B is 9 mi away

after noon Cyclist B will travel a distance of 6 t and cyclist A travel 4 t miles in t hr

Now distance of cyclist B from intersection is 9-6t

Distance of cyclist A from intersection is 4 t

let distance between them be z

$z^2=(9-6t)^2+(4t)^2$

Differentiate z w.r.t time

$2z\frac{\mathrm{d} z}{\mathrm{d} t}=2\times (9-6t)\times (-6)+2\times (4t)\times 4$

$z\frac{\mathrm{d} z}{\mathrm{d} t}=(-6)(9-6t)+4(4t)$

$\frac{\mathrm{d} z}{\mathrm{d} t}=\frac{16t+36t-54}{z}$

Put $\frac{\mathrm{d} z}{\mathrm{d} t}\ to\ get\ maximum\ value\ of\ z$

therefore $52t-54=0$

$t=\frac{54}{52}$

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3 years ago