Can someone explain to me how the Pythagorean theorem works??

Answers

Answer 1

Answer:

By the Pythagorean theorem, it follows that the hypotenuse of this triangle has length c = √a2 + b2, the same as the hypotenuse of the first triangle. Since both triangles' sides are the same lengths a, b and c, the triangles are congruent and must have the same angles. ... If a2 + b2 = c2, then the triangle is right.

Step-by-step explanation:


Related Questions

HEY could one some help me , I will give BRAINLEST

Answers

A) 3x+7
Since, I did it on my unit exam, for finals

what is the answer to x^{2}-2x=15

Answers

Answer:

Two solutions:

x = 5 and x = -3

Step-by-step explanation:

Simplify:

x^{2} - 2x = 15

-15              -15

x^{2} - 2x -15 = 0

Find what numbers multiplied by eachother equal -15 and also add to -2:

-5 * 3 = -15

-5 + 3 = -2

Rewrite equation and put each expression equal to 0:

(x - 5)(x + 3) = 0

x - 5 = 0      x + 3 = 0

  +5    +5         -3     -3

x = 5            x = -3

Explain is this is a right triangle using the Pythagorean Theorem

Answers

C2 = a2 + b2
C2= 7x7 + 10x10
C2= 49 + 100
C2 = 149
C = 12.2

I guess it’s not right

Given that line q has the following points (5,-2) and (2, 1). Write an
equation of a line perpendicular to line q in slope intercept form that goes
through the point (4, -2).
y = mx + b
m =
b =

Answers

Answer:

equation of a straight line in slope intercept form is x+y-2=0

Step-by-step explanation:

4 divided by 1/3=___

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Find the measure of x in each figure

Answers

Step-by-step explanation:

40+2x=90°(given in question)2x=90-40x=50/2x=25°

stay safe healthy and happy...

i need help fast please

Answers

Answer:

40/30

Step-by-step explanation:

[tex]tan = opposite/adjacent[/tex]

[tex]tan\ \angle Z = \frac{40}{30}[/tex]

help now pls i need a lot of help pls help meh

Answers

Answer:

28+36+y= 180

The value of y is 116

Step-by-step explanation:

Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.

Answers

Answer:

12500

Step-by-step explanation:

4.5 × 48=216.

12500 Plus 216= 12,716

The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+r)^t[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          t = How long the money is deposited or borrowed (in years)

We have in the question:

p = $12,500

r = 4.5% ⇒ 0.045

t = 4 years ⇒ 4×12 ⇒ 48 months

Put the above values in the formula, we get;

[tex]\rm A = 12500(1+0.045)^4^8[/tex]

A = 12500×8.27145

A = $103393.20

Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.

         

Learn more about the compound interest here:

brainly.com/question/26457073

Considere as seguintes afirmações: I. O inverso de 0,2 é 5. II. O triplo de \frac{2}{5} é \frac{6}{15}. III. A metade de 0,5 é \frac{1}{4}. É(são) verdadeira(s) a(s) afirmação(ões): Apenas a I; I e III; Apenas a III; I, II e III;

Answers

Answer:

I e III

Step-by-step explanation:

Recebemos declarações na questão acima para considerar.

Declaração I. O inverso de 0,2 é 5.

Matematicamente, isso é escrito como:

1 / 0,2

0,2 = 2/10

Portanto: 1 ÷ 2/10 = 1 × 10/2

= 5

Afirmação 1 é verdadeira

Declaração II.

O triplo de 2/5 é 6/15.

Triplo de 2/5 = 2/5 + 2/5 + 2/5

= 2 + 2 + 2/5

= 6/5

= 1 1/5

Declaração II é falsa

III. A metade de 0,5 é 1/5

1/2 de 0,5

= 1/2 × 0,5 = 0,25

Convertendo em fração

= 0,25 = 25/100

= 1/4

Declaração III está correta

Portanto, as afirmações verdadeiras são I e III

Find the slant height l of the cone given the surface area S.

S=126π cm²



The slant height is
centimeters.

Answers

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

Pls Help!! I'll MARK YOU BRAINLIEST but please explain​

Answers

Answer:

x<16

it's the last one

Step-by-step explanation:

Multiply both sides of the inequality by

then move the constant to the right hand side and

change it's sign and

subtract by four

Solve for x

|2x+1| + |3x-4| = 5

Answers

Answer:

X=0 or x=8/5

Step-by-step explanation:

The correct answer is x=8

Offering 15 points!

Evaluate.
[tex]\sqrt[3]{-1}[/tex]
a. 1
b. -3
c. undefined
d. -1

The screenshot shows the question, if anyone could help me with this I would be very grateful!

Answers

Answer:

its -1 since the equation is all real numbers

Answer:

Your answer is -1.

Step-by-step explanation:

Expand.
Your answer should be a polynomial in standard form
−5q 2 (−q−5)

Answers

Answer:

(i think)

5q3+25q2

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.a

x2+bx+c

5⋅1(q2q)+25q2

Simplify each term

answer- 5q3+25q2

The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded

Answers

Answer:

True , null

Step-by-step explanation:

Mostly the true hypothesis is the null hypothesis .

We test the true hypothesis , the null hypothesis  against the claim provided which is named as alternate hypothesis.

When the false hypothesis is the null hypothesis , type II error is made.

Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.

So option 1 is correct

given sin(theta)= 12/13 in quadrant 1 determine sec(theta) PLS HELP ASAP

Answers

Answer:

Step-by-step explanation:

in quadrant 1 cos and sec are positive.

cos(θ)=√(1-sin²θ)=√(1-(12/13)²)=√((169-144)/13²)=5/13

secθ=13/5

What is the mean of this set of numbers?

12, 33, 19, 26, 24, 30

Answers

24 bc if u add all them up and divide by 6 cus it’s 6 #s you’ll get 24

Which one of the following statements is FALSE?
A)The mode is the number (or numbers) that occurs most frequently in the set.
B)The median is the middle of a set of numbers arranged in numerical order.
C)The mean is the average of all the data values.
D)Standard deviation is the difference between the largest and smallest value in the set.

Answers

Answer:

D

Step-by-step explanation:

Measures of central tendency assist in the discovery of a data set's middle, or average. The statement that is incorrect out of the given statements is option D.

What is the measure of central tendency?

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Mode: It is the most common value in a given data set.Median: In an ordered data set, the median is the number in the middle.Mean: It is the total number of values divided by the sum of all values.

The range is the difference between the largest and smallest value in the set. Therefore, The statement that is incorrect out of the given statements is option D. Standard deviation is the difference between the largest and smallest value in the set.

Learn more about the Central Tendency:

https://brainly.com/question/17330554

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A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.

Answers

Answer: 6.8 inches

Step-by-step explanation:

PLEASE HELP SOOOOOON!!

What is the surface area of this square pyramid represented by this net?

NOOOO LINKS!!!!!! IF YOU PUT A LINK AS AN ANSWER, YOU WILL BE REPORTED AND BLOCKED INSTANTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

144

Step-by-step explanation:

((9*6/2)*4)+(6*6)=144

Sorry I don’t get this please help

Answers

Answer:

9 Patients

Step-by-step explanation:

The median is the middle value of all of the selected numbers

4, 5, 7, 9, 11, 12, 17.

Answer:

9 patient

Step-by-step explanation:

Arrange numbers from smallest to largest. Then, Pick the middle one. That's your answer.

simplify cos(2x)/ cos(x)-sin(x)

Answers

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

What is a trigonometric function?

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

For more information about the trigonometric function,

https://brainly.com/question/14746686

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The expression for “ 6 is added to 3 times b" can be

A. 6b + 3
B. 2( 3 + b)
C. 3(2 + 3b)
D. 3(b + 2)​

Answers

Answer:D

Step-by-step explanation: The answer would be 3b+6 and when you solve 3(b+2) you get 3b +6)

3 times b is 3b and when you add 6 it becomes 3b+6 or 3(b+2)

Answer:

A seems correct

Step-by-step explanation:

so 6 must be multiplied b times and added to 3

28Million rouned to the nearst 10​

Answers

Answer:

Exactly 28million

Step-by-step explanation:

what is mass and solid and gas

Answers

Particles behave differently within each state of matter: solid, liquid, and gas. The particles give matter a property called mass. The mass of an object is related to the amount of material that makes up the object and how hard the object is to move. Simple experiments can show how gases have mass.

Find a.

Write your answer in simplest radical form.

Answers

Answer:

[tex]a=10[/tex]

Step-by-step explanation:

This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.

Special Right Triangles:

In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]

Wrestling coach is entering his team in a tournament there is a $75 fee for each team entered plus a five dollar fee for each wrestler entered The total cost 1013 in a wrestling tournament can be represented by the equation F=5w+75 where f is the total fee and w is the number of wrestlers entered

Answers

Answer:

188 wrestlers

Step-by-step explanation:

Given

[tex]F =5w + 75[/tex]

[tex]F = 1013[/tex]

Required

Determine the number of wrestlers (w)

We have:

[tex]F =5w + 75[/tex]

Substitute: [tex]F = 1013[/tex]

[tex]1013 = 5w + 75[/tex]

Collect like terms

[tex]5w = 1013 - 75[/tex]

[tex]5w = 938[/tex]

Divide both sides by 5

[tex]w = 187.6[/tex]

Round up to get the number of wrestlers

[tex]w = 188[/tex]

I’ll give brainly
Find the indicated side of the triangle.
10
b
45°
а
b =
[?]
=

Answers

Answer:

take 45 degree as reference angle

use sin rule

sin 45=opposite/hypotenuse

1/[tex]\sqrt{2}[/tex]=b/10(do cross multiplication)

b[tex]\sqrt{2}[/tex]=10

b=10/[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Evaluate 5 + 6x, when x is 4?

A. 29
B. 23
C. 19
D. 15​

Answers

Answer:

29

Step-by-step explanation:

Answer:

A) 29

Step-by-step explanation:

Substitute 4 for x and you can solve this

5 + 6x

5 + 6 * 4

5 + 24

29

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