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Ray Of Light [21]

3 years ago

6

Which term best describes a proof in which you assume the opposite of what you want to prove? A. Proof by syllogism B. Proof by

contradiction C. Proof by contrapositive D. Proof by converse

2 answers:

Vilka [71]3 years ago

8 0

That is Proof by Contradiction.
The famous one is the proof of the square root of 2 is irrational . First done by Euclid

Fed [463]3 years ago

8 0

Answer: B. Proof by contradiction

Step-by-step explanation:

A proof by contradiction states the truth of a given statement by the assuming that it is false and following by finding a conclusion that is contradictory to the given proposition that is proven to be true.

Hence, the term best describes a proof in which we assume the opposite of what we want to prove is "Proof by contradiction ".

You might be interested in

What is 0.464646... as a fraction

rewona [7]

This is what I get

You have to place the decimal numbers over the power of 10.since its 6 places to the right will be 10^6(1000000).

464646/1000000

Now cancel common factors by factoring out 2.

232323/500000=0.464646

7 0

3 years ago

Which of the following cannot be used to express the number 8? eight more than zero +8 eight below zero positive eight

MrRa [10]

Eight below zero would express the value -8, negative eight,

but not 8.

7 0

3 years ago

Read 2 more answers

I need help with questions #7 and #8 plz

katen-ka-za [31]

Answer:

7. A = 40.8 deg; B = 60.6 deg; C = 78.6 deg

8. A = 20.7 deg; B = 127.2 deg; C = 32.1 deg

Step-by-step explanation:

Law of Cosines

$c^2 = a^2 + b^2 - 2ab \cos C$

You know the lengths of the sides, so you know a, b, and c. You can use the law of cosines to find C, the measure of angle C.

Then you can use the law of cosines again for each of the other angles. An easier way to solve for angles A and B is, after solving for C with the law of cosines, solve for either A or B with the law of sines and solve for the last angle by the fact that the sum of the measures of the angles of a triangle is 180 deg.

7.

We use the law of cosines to find C.

$18^2 = 12^2 + 16^2 - 2(12)(16) \cos C$

$324 = 144 + 256 - 384 \cos C$

$-384 \cos C = -76$

$\cos C = 0.2$

$C = \cos^{-1} 0.2$

$C = 78.6^\circ$

Now we use the law of sines to find angle A.

Law of Sines

$\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}$

We know c and C. We can solve for a.

$\dfrac{a}{\sin A} = \dfrac{c}{\sin C}$

$\dfrac{12}{\sin A} = \dfrac{18}{\sin 78.6^\circ}$

Cross multiply.

$18 \sin A = 12 \sin 78.6^\circ$

$\sin A = \dfrac{12 \sin 78.6^\circ}{18}$

$\sin A = 0.6535$

$A = \sin^{-1} 0.6535$

$A = 40.8^\circ$

To find B, we use

m<A + m<B + m<C = 180

40.8 + m<B + 78.6 = 180

m<B = 60.6 deg

8.

I'll use the law of cosines 3 times here to solve for all the angles.

Law of Cosines

$a^2 = b^2 + c^2 - 2bc \cos A$

$b^2 = a^2 + c^2 - 2ac \cos B$

$c^2 = a^2 + b^2 - 2ab \cos C$

Find angle A:

$a^2 = b^2 + c^2 - 2bc \cos A$

$8^2 = 18^2 + 12^2 - 2(18)(12) \cos A$

$64 = 468 - 432 \cos A$

$\cos A = 0.9352$

$A = 20.7^\circ$

Find angle B:

$b^2 = a^2 + c^2 - 2ac \cos B$

$18^2 = 8^2 + 12^2 - 2(8)(12) \cos B$

$324 = 208 - 192 \cos A$

$\cos B = -0.6042$

$B = 127.2^\circ$

Find angle C:

$c^2 = a^2 + b^2 - 2ab \cos C$

$12^2 = 8^2 + 18^2 - 2(8)(18) \cos B$

$144 = 388 - 288 \cos A$

$\cos C = 0.8472$

$C = 32.1^\circ$

8 0

3 years ago

Rewrite in simplest terms : <br> 9(-8d - 7 ) +6(d+7)

Pepsi [2]

Answer: -66d-21 I think.

Step-by-step explanation:

9(-8d-7<u>)</u>+6(d+7)

-72d-63+6d+42 Distributive Property

-72d+6d+-63+42 Combine Like Terms

-66d-21 Answer

8 0

2 years ago

A sum of money doubles itself in 16 2 years at certain rate of simple interest. How long will it take to double itself at the sa

Viefleur [7K]

Answer:

r=40% or .4

Step-by-step explanation:

32=16(1+r)^2

6 0

3 years ago