5 examples of theorems in math. :")

Answers

Answer 1
Theorem 1. Pythagoras Theorem
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

Theorem 2. Thales Theorem
If a line is drawn parallel to one side of a triangle intersecting other two sides, then it divides the two sides in the same ratio.

Theorem 3. Euclid’s Theorem
Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers. It was first proved by Euclid in his work Elements.

Theorem 4. Fundamental Theorem of Arithmetic
The fundamental theorem of arithmetic states that every positive integer (except the number 1) can be represented in exactly one way apart from rearrangement as a product of one or more primes.

Theorem 5. Ceva’s Theorem
Ceva's theorem is a theorem of affine geometry, in the sense that it may be stated and proved without using the concepts of angles, areas, and lengths (except for the ratio of the lengths of two line segments that are collinear). It is therefore true for triangles in any affine plane over any field.

Related Questions

What’s 12 times 12divided by 58 ?

Answers

12 x 12 = 144
144 / 58 = 2.66

Answer:

2.48........is your answer

Step-by-step explanation:

12×12 =144

144÷58

The segment AB has the endpoints A(1,5) and B(3,2). The segment is translated 2 units down and 2 units right. What are the endpoints of the translated segment A'B'?

Answers

The endpoints of the translated segment A'B' after undergoing the given translation is; A'(3, 3) and B'(5, 0)

How to carry out translation transformation?

In transformation in mathematics, there are different types such as dilation, reflection, rotation, translation e.t.c

Now, in this case what we are dealing with is translation which simply means moving an object or figure from one point to the other without changing the shape or dimensions.

To translate the point AB(x, y) , 2 units down and 2 units right, we will use the translation rule;

A'B'(x + 2, y − 2) .

We are given the coordinates of AB as A(1,5) and B(3,2)

Thus;

A'(1 + 2, 5 - 2) = A'(3, 3)

B'(3 + 2, 2 - 2) = B'(5, 0)

Read more about Translation at; https://brainly.com/question/4289712

#SPJ1

A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in the container increases at a rate of approximately 10 inches per minute. Write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet. Note that the volume of a cylinder is V=πr2h, where r and h are the radius and height of the cylinder.

Answers

Answer:

2009.6  and 13824 minutes and 230.4 hours

Step-by-step explanation:

v=3.14 x 4 x 2 x 80= 2009.6

a cyclist travels for 5 days and covers 375km in total.
He covers 67km 78km 46km and 89km on the fist 4 days .How far does he travel on day 5 ​

Answers

Answer:

95km

Step-by-step explanation:

5 days = 375km

4 days = 67km + 78km + 46km + 89km= 280km

5 days - 4days = the 5th day

375km - 280km = 95km

Uri has 22 same-sized circles that are divided into different numbers of equal-sized parts. He shades 1/5 of the first circle. The second circle has three times as many parts as the first circle. Uri shades an equivalent fraction of the second circle. What fraction of the second circle does Uri shade?

Answers

Answer:

The fraction of the second circle does Uri shade = [tex]\frac{1}{15}[/tex]

Step-by-step explanation:

As given,

Total number of same sized circle = 22

In first circle :

He shades [tex]\frac{1}{5}[/tex] of the first circle.

⇒ He divide the first circle in 5 parts and shaded 1 part.

Now,

The second circle has three times as many parts as the first circle.

⇒Total parts of second circle = 3 × 5 = 15

Now,

Given that  Uri shades an equivalent fraction of the second circle.

⇒Uri shade second circle = [tex]\frac{1}{15}[/tex]

∴ we get

The fraction of the second circle does Uri shade = [tex]\frac{1}{15}[/tex]

Someone please help me I’ll give out brainliest please don’t answer if you don’t know

Answers

Answer:

$14.77

Step-by-step explanation:

Help please! Thank youuuuuy

Answers

Step-by-step explanation:

can an.y gi.rl message me. i have no power to inbox

what's
[tex] \sqrt{36} [/tex]
chess ?​

Answers

[tex] \huge \purple{\tt{Answer:}} [/tex]

[tex] \sf{\sqrt{36}} = \sf{6} [/tex]

Answer:

√36=6

Step-by-step explanation:

it's can also be understood by 6×6=36

the difference of a numder 9 is less than 2

Answers

Answer:

Step-by-step explanation:

I think you mean

n-9<2

n<11

Solve for all values of x by factoring.
x2+ 13x + 43 = 1

Answers

Answer:

Move 1 to the left side of the equation by subtracting it from both sides. Subtract 1 from 43.

Dakota arrived at school at 7:59 a.m. He left at 2:33 p.m. How long was Dakota at school

Answers

Answer:

6 hours and 34 minutes

Step-by-step explanation:

If we add 1 minute to 7:59 it is 8 which makes it easier to see the length of time. Then we add that 1 back in to find the exact amount of time Dakota was in school.

Brainliest please . . . .

Help please........... ​

Answers

Answer:

18

Step-by-step explanation:

3 x 6=18

3.3 - 3.7n - 2n + 8 nnnnnnnnnnnnnnnnnn

Answers

Answer:

-5.7n + 11.3

Step-by-step explanation:

3.3 - 3.7n - 2n + 8 = -3.7n - 2n + 3.3 + 8 = -5.7n + 11.3

enejjennnenenswatehd

the difference of 10 and a number is -2 what is the answer ​

Answers

Answer:

The answer is 8.

Step-by-step explanation:

This question can be written as the equation x-10=-2. With this equation in mind we can get straight ahead to solving. This is just a one-step equation and all we need to do to get our answer from this point is just add 10 to both sides using the addition property of equality and once we do that we have X=8.

Guy please help me out so this is the question 3.  Last Sunday, the temperature at 8:00 a.m. was -3०C.  Between 8:00 a.m and 1:00 p.m., the temperature rose by 5०C.  By 6:00 p.m. the temperature was 2०C colder than it was at 1:00p.m.  Then, the temperature dropped 3०C each hour between 6:00 p.m. to 10:00 p.m.  What was the temperature at 10:00 p.m.? I got the answer -1 is that correct?​

Answers

Answer:

ayuda necesito lo mismo

Step-by-step explanation:

por favor algún voluntario

Answer:

-9C

Step-by-step explanation:

-3+5-2-3(3)=-9C

i think you made a mistake on "it got colder by 2C." If temperatures get colder, they drop, meaning you subtract it.

also, it said between the hours of 6-10pm, which is three hours, the temperature drops each hour by 3C. so, you multiply 3 to -3, and come up with -9

How do we solve this?

Answers

Answer:

B is (3, 10)

Step-by-step explanation:

The midpoint of coordinates of the 2 points (x1, y1( and (x2, y2) is

(x1 + x^2) / 2 , (y1 + y2)/2.

So if (x, y) are the coordinates of B we have:

(7 + x)/2 + (2 + y)/2 = 5 + 6

So 7 + x = 2*5 so x = 3

AND 2 + Y = 12 SO y = 10.

The sum of two integers is - 5 and their difference is 11.
What are the two numbers

Answers

Can help I’m not in that math still

pa help po need lang ipasa ngayon​

Answers

1.

[tex] \frac{3}{5} \times \frac{5}{6} = \frac{15}{30} = \frac{1}{2} [/tex]

2.

[tex] \frac{3}{5} \times \frac{3}{15} = \frac{9}{75} = \frac{3}{25} [/tex]

3.

[tex] \frac{5}{8} \times \frac{4}{10} = \frac{20}{80} = \frac{1}{4} [/tex]

4.

[tex] \frac{5}{12} \times \frac{3}{8} = \frac{15}{96} = \frac{5}{32} [/tex]

5.

[tex] \frac{12}{20} \times \frac{5}{6} = \frac{60}{120} = \frac{1}{2} [/tex]

6.

[tex] \frac{4}{5} \times \frac{8}{3} = \frac{32}{15} = 2 \frac{2}{15} [/tex]

7.

[tex] \frac{3}{8} \times \frac{16}{7} = \frac{6}{7} [/tex]

8.

[tex] \frac{11}{2} \times \frac{18}{7} = \frac{198}{14} =14 \frac{1}{7} [/tex]

9.

[tex] \frac{14}{6} \times \frac{18}{5} = \frac{252}{30} = 8 \frac{2}{5} [/tex]

10.

[tex] \frac{4}{3} \times \frac{5}{2} = \frac{20}{6} = 3 \frac{1}{3} [/tex]

5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?​

Answers

Answer:

124

Step-by-step explanation:

5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.

992 × ⅛ = 124

What number should be added to both sides of the equation to complete the square?

x^2-10x=12​

Answers

Answer:

Step-by-step explanation:

x²-10x = 12

Coefficient of the x term: -10

Divide in half: -5

Square it: (-5)² = 5²

Add 5² to both sides:

x²-10x+5² = 12+5²

(x-5)² = 37

Please help me: which statement is not true?

Answers

Answer:

I'd say III. Could be wrong.

Answer:

#3

Step-by-step explanation:

KL is shorter in length compared to CD which means if you divide both by BC they will not equal each other

What percent of 56 is 42?
I need an answer ASAP
a
23%
b
42%
c
75%
d
90%

Answers

Answer:

nicki monaj is the queen of rap

Step-by-step explanation:

periodt purr

The answer is C. 75%!

Pls help middle school math!!

Answers

Answer:

r = √A/π      (radius = square root of a over pi)

Explanation:

There is a radius and a diameter. Diameter is the length of the whole circle across. The radius is half of the circle's length across, so half of the diameter.

hope this answers your question!

16,-8,4...;6th term
The 6th term of the sequence is______.

Answers

Answer:

- [tex]\frac{1}{2}[/tex]  

Step-by-step explanation:

1) 16

2) 16 ÷ ( - 2) = - 8

3) - 8 ÷ ( - 2) = 4

4) 4 ÷ ( - 2) = - 2

5) - 2 ÷ ( - 2) = 1

6) 1 ÷ ( - 2) =  - [tex]\frac{1}{2}[/tex]

Witch of the following equations have z=4
9z+22=26
7z-1=27
46-8z=14
5z+40=62

Answers

Answer:

b

Step-by-step explanation:

What would be the answer if x= -8
Y = -3/4x +10

Answers

Answer:

y= 16                                                                                                                                                                                                                                                                                                                                                                                  

Step-by-step explanation:

y= -3/4(-8)+10

     (-3/4 x -8= 6)

y= 6 + 10

y=16

I need to figure out whether or not this is a solvable equation. HELP

Answers

Answer:

its not

Step-by-step explanation:

Answer:

yeah this question i s solvable

Step-by-step explanation:

[tex] \frac{1}{3} (4 + 2) = - \frac{2}{5} (4 - 9)[/tex]

[tex] \frac{1}{3} \times 6 = - \frac{2}{5} \times ( - 5)[/tex]

please try ti do it on thi way

PLEASE MARK ME AS BRAINLIEST

Please help me I am struggling I’m only in 6th grade doing harder math

Answers

Answer:

-7a+11

Step-by-step explanation:

need help with this ​

Answers

9514 1404 393

Answer:

f(-2) = 2f(0) = 4

Step-by-step explanation:

a) Locate the point -2 on the x-axis. Follow the line up until it meets the blue curve. Follow that grid line to the right to see where it meets the y-axis. It is y=2. That means f(-2) = 2.

__

b) Locate y=4 on the y-axis. Notice that the curve intersects the y-axis there, so x=0.

x = 0 is the only value of x for which f(x) = 4.

An airplane can ascend at a rate of 54 1/2 meters in 2/3 of a second. How many meters can the airplane ascend in one second?

Answers

Answer:

The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.

Step-by-step explanation:

Given that the airplane ascends [tex]54\,\frac{1}{2}[/tex] ([tex]\frac{109}{2}[/tex]) meters in [tex]\frac{2}{3}[/tex] seconds, we calculate the ascent rate of the airplane by simple rule of three:

[tex]x = \frac{\frac{109}{2}\,m }{\frac{2}{3}\,s } \times 1\,s[/tex]

[tex]x = \frac{327}{4}\,m[/tex]

[tex]x = 81\,\frac{3}{4}\,m[/tex]

The airplane ascends [tex]81\,\frac{3}{4}[/tex] meters in one second.

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