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2 years ago

Define logic and explain how it is used in math.

Mathematics

2 answers:

ipn [44]2 years ago

7 0

Logic is used in math to to prove a mathematical theory and/or fact.

mamaluj [8]2 years ago

3 0

Answer:

Logic is the study of how to critically think about propositions or statements that are either true or false.

Logic is very useful in the world of mathematics. Mathematicians use logic all the time to prove theorems and other mathematical facts. Everything we know about math right now is based off of these logical proofs. Without these, we wouldn't have our formulas, like the wonderful quadratic formula or the very useful Pythagorean Theorem.

Using logic in math is about mixing the specific language used in logic with the specific symbols used in math.

Step-by-step explanation:

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ cross multiply

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

3 years ago

I need help pplzzzzzzzzzzzzzzz

Ratling [72]

2160

Explanation:
Use the equation (n-2)180
(14-2)180
(12)180
2160

6 0

3 years ago

Read 2 more answers

Solve the equation. \dfrac18 + c = \dfrac45 8 1 +c= 5 4 start fraction, 1, divided by, 8, end fraction, plus, c, equals, sta

aivan3 [116]

Answer:

$c=\dfrac{27}{40}\\$

Step-by-step explanation:

We are required to solve for c in the equation: $\dfrac{1}{8}+c= \dfrac{4}{5}$

Step 1: Collect like terms

$\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}$

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

$40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40$

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

$c=\dfrac{27}{40}\\$

4 0

3 years ago

Find p(0),p(1),p(-1) and p(2) of the 3x(x-2)

Effectus [21]

Answer:

make x→0

$p(0)=(0)^{2}-3(0)+2$

→ $p(0)=0+0+2$

→ $p(0)=2$

$------$

Replace x→-1

$p(-1)=(-1) ^{2} -3 (-1)+2$

→ $p(-1)=1-3+2$

→ $p(-1)=0$

$----------$

Now make x→2

$p(2)=(2) ^{2} -3(2)+2$

→ $p(2)=4-6+2$

→ $p(2)=0$

$Answer:-2,0,0$

$-----------$

hope it helps...

have a great day!!

5 0

3 years ago

Research suggest that people are less likely to become repeat offenders if they stay out of the prison system. Why do you think

kondaur [170]

Answer:

Yes prison breeds criminal minds

Step-by-step explanation:

When you send a person to a house filled with just criminals they will just become more criminal minded. If they spend a long time in the prison system too the person will forget how life outside was. It will be like sending a child into the outside world except with a ton of knowledge on how to rob and stuff like that.The american prison system is one of the shadiest systems to be created in my opinion.Its a system built for you to come back over and over.Usually when you get out u have less opportunities for a job.Forget about having a career if you went to prison for literally anything.Your family might disown you or forget you. Its just heartbreaking to see prisoners come out of jail just to have even less opportunity to change their life than before they went. It will get to a point where you need to do crime to survive or live comftorably on the outside world. The american prison system is just built to get revenge on someone and ruin their whole life. I know some European countries have an amazing prison system where they fix you and give you opportunities to become better. Thing is in america we dont want to help the guy that scammed or killed a friend of ours. We just end up hoping their life is miserable and thats our prison system.Its absolutely disgusting.Instead of heavily punishing these people and sending them into the world without help. We should help them and make them better people for our society.Im sorry if this is very disorganized and hard to understand i just wrote what my mind blurted into this keyboard

5 0

3 years ago

Read 2 more answers