The Pythagorean theorem

The Pythagorean Theorem

Answers

Answer 1

Answer:

b = 3√37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

Step-by-step explanation:

Step 1: Define

a = b

b = 14

c = 23

Step 2: Find b

Substitute [PT]:                     b² + 14² = 23²Isolate b term:                      b² = 23² - 14²Exponents:                           b² = 529 - 196Subtract:                               b² = 333Isolate b:                               b = 3√37
Answer 2

Answer:

b=3root37

Step-by-step explanation:


Related Questions


Work out 5/7
of 100.
Give your answer correct to the nearest whole number.

Answers

Answer: 71

Step-by-step explanation: 100x (5\7) = 71.4

Answer:

71.5

Step-by-step explanation:

5/7 of 100=(5×100)÷7=500÷7=71.5

please anwser this for me!!

Answers

Answer:

No

Step-by-step explanation:

The relation given as represented by the table of values is definitely not a function. This is because, 1 domain value (x-value), is having two range values (y-values), 2 and 5, that are assigned to it.

A function cannot have two y-values assigned to one x-values.

if i run 160 meters 20 times in 2 hours how fast am i going

Answers

Answer:

1700 meters / hour

Step-by-step explanation:

160x20 = 3200

3200/ 2 = 1700

Rick purchases guitars wholesale for 60$ and then marks them up 150% before selling them online. How much doea Rick sell his guitars for?Real Answers Only​

Answers

Answer:

Rick sells each guitar for 90$


Given the equation in point slope form y-5=1/2(x+1)

Answers

Answer:

The slope of this equation is 11/2. The point is (1/2, 0)

Step-by-step explanation:

I hope this is the right answer, good luck!

summer babysitting. She decided
to put this money in a bank that
earns a 5% simple interest rate.
How many years will it take to
double her initial deposit?
A) 10 years
B) 12 years
C) 15 years
D) 18 years
E) 20 years​

Answers

Answer: B.12 years

Step-by-step explanation:

please help asap!!!!!

Answers

Answer:

angle RQS

Step-by-step explanation:

From the figure and statement provided, select the proper TO PROVE Statement.

If two parallel planes are cut by a third plane, the lines of intersection are parallel.

MN= 1AB

AB- BC= AC

M is parallel to

AB= BC

a is parallel to B

Answers

Answer: a is equal to b

Step-by-step explanation:

Answer:

a is parallel to b

Step-by-step explanation:

X= What does ×= 88, 89 or 90

Answers

The answer should be 88

Consider the functions f(x) = (4/5)x and g(x) = (4/5)x + 6. What are the ranges of the two functions?
f(x): {yly >____}
g(x): {yly >____}

Answers

Answer:

0

6

Step-by-step explanation:

<3

The ranges are:

f(x): {y | y ≤ infinity}

g(x): {y | y ≤ infinity}

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.

Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.

Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.

The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:

f(x): {y | y ≤ infinity}

For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.

The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.

Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:

g(x): {y | y ≤ infinity}

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-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4

Answers

The answer to your question is 4

Identify the constant of Proportionality Write an equation to relate weight, w, to the price, p.

Answers

Answer:

m = .45

p = .45w

______

.45 = 9/20

Explanation:

m is the rate of change equal to the price over the weight or p/w.

Because this relationship is proportional, each weight divided by its corresponding price must equal the same fraction because it is constant.

We can prove this by dividing each price by its weight to find this proportion.

1.35/3 = 2.7/6 = 27/60 = 9/20 = 0.45

1.71/3.8 = 171/380 = 9/20 = 0.45

2.34/5.2 = 234/520 = 117/260 = 9/20 = 0.45.

Since equal the same value, this means that 9/20 or .45 is our proportion.

in terms of p = mw

p/w = 9/20.

p = mw → p/w = m → m = p/w = .45 .

Thus, p = .45w,

so m = .45.

Which means that for every .45 or 9/20 w or weight, there is a price of $1.

Please help me with this question

Answers

Answer:

11/4

29/6

32/5

Step-by-step explanation:

Answer: 11/4, 29/6, 32/5

Step-by-step explanation:

This is going to help trust me

What is the equation of the line that passes through the point (2, -2) and has a
slope of -1/2?

Answers

Answer:

Step-by-step explanation:

use the point-slope formula [y-y1 =m(x-x1) ] with the given info

for the point P=(x1,y1) =(2,-2) and the slople m = -1/2

plug those into the formula

y-(-2)= -1/2(x-2)

y+2= -1/2x + 1

y= -1/2x+1 - 2

y = -1/2x - 1

:)  got it?  

these are hard untill you get the idea of the two formulas  

point-slope:         y-y1 = m(x-x1)  and

slope-intercept:   y= mx+b

memorizing those will help a lot

What is the distance from –8 to 4 on a number line?

Answers

Answer:

13 away

i used my fingers

Answer:

12

Step-by-step explanation:

-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4

Just count he bottom lines

mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?​

Answers

40, since each kilo of rice fills two bags and he has 20 kilos.

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

A dragon lived in a cave.
The dragon doubled in size every day.
After 20 days the dragon filled the cave.
After how many days did the dragon half-fill the cave?

Answers

Answer: After 19 days, the dragon filled half of the cave.

Step-by-step explanation:

The dragon doubled in size every day and after 20 days he filled the cave.

So, one day before, the dragon occupied half of the cave.

20 - 1 = 19  [days]

After 19 days did the dragon half-fill the cave.

The dragon doubles in size every day, and after 20 days, it completely fills the cave.

To find out when the dragon half-filled the cave, we need to determine how many days it took for the dragon to reach half of the cave's capacity.

we know that,

On the 20th day, the dragon filled the entire cave.

and, The dragon doubled in size every day.

so, we have,

On the 19th day, the dragon's size would have been half of what it was on the 20th day.

On the 18th day, the dragon's size would have been half of what it was on the 19th day.

And so on...

We can see that every day before the 20th day, the dragon's size was halved.

So, on the 19th day, the dragon's size was half of the size it was on the 20th day.

Therefore, on the 19th day, the dragon half-filled the cave, and on the 20th day, it filled the entire cave.

Hence, After 19 days did the dragon half-fill the cave.

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3x3z−6z for z=5 solve pllllsslssss

Answers

hi luv!!!
i’m doing the problem right now, so in the first part. do you want me multiply 3x with 3z?

I don’t know this someone help

Answers

1.) the relationship between y and 76 is that they are congruent; perpendicular to each other. They equal the same
y= 76
not sure abt the other one

Answer:

yes what that guy said is right

PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO

Answers

Answer:

6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)

   360 feet in 5 minutes = 72 feet in 1 minute

7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)

   $14 for 20 ounces = $0.70 for 1 ounce

8. 72 people in 6 hours = 12 people in 1 hour

    117 people in 9 hours = 13 people in 1 hour (greater rate per hour)

Answer:

A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours

For a submarine cable, the range of signalling is governed by the function


f(r) = r^2 ln⁡(1/r)

where 0
Find df/dr.

Answers

Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

there are 5 people in Edgar's family. they have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin bread he will get?

Answers

Answer:

3 divided 5

Step-by-step explanation:

Edgar will get 3/5 or 0.6 part of pumpkin bread.

What is ratio?

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Total numbers of people in Edgar's family = 5

Total number of pumpkin bread = 3

Since, 3 bread are divided equally among 5 people,

implies that, bread will divide in the same ratio,

5 people = 3 bread

1 people= 3/5 bread

1 people= 0.6 part of bread

So Edgar will get 3/5 or 0.6 part of bread.

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Rita is hiking along a trail that is 14.8 miles long. So far she has hiked along one-tenth of the trail.

How far has Rita hiked?

Answers

Answer:

1.48 miles

Step-by-step explanation:

If the trail is 14.8 miles and Rita has hiked 1/10 of it. Then just multiply 14.8 by 1/10.

14.8 * 1/10 = 1.48 miles.

Answer:

1.48

Step-by-step explanation:

I know the answer is correct

a line has slope -3 and the y intercept is 7. what is the slope intercept form of the line?

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

[tex]y = mx + b[/tex]

m = slope

b = y intercept

eq:

[tex]y = - 3x + 7[/tex]

SOMEONE PLEASE PLEASE HELP ME ON THIS!!

Answers

X=22

14 plus 8 gives you x

[tex]\frac{x}{20} =\frac{14}{8} \\x=\frac{14}{8} \times 20=35[/tex]Answer:

35

Step-by-step explanation:

Given the coordinates, determine whether PQR & XYZ are congruent


P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)


PQ=

XY=

QR=

YZ=

PR=

XZ=


Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.

Answers

Answer:

The triangles are congruent

Step-by-step explanation:

Given

[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]

Required

Determine if PQR = XYZ

To do this, we make use of distance formula.

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For PQ:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]

So:

[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]

[tex]PQ = \sqrt{64+121}[/tex]

[tex]PQ = \sqrt{185}[/tex]

For XY:

[tex](x_1,y_1) = (-2,-1)[/tex]

[tex](x_2,y_2) = (9,7)[/tex]

So:

[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]

[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]

[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]

[tex]XY = \sqrt{121+64}[/tex]

[tex]XY = \sqrt{185}[/tex]

For QR:

[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]

[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]

[tex]QR = \sqrt{(3)^2 + 25}[/tex]

[tex]QR = \sqrt{9 + 25}[/tex]

[tex]QR = \sqrt{34}[/tex]

For YZ:

[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]

[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]

[tex]YZ = \sqrt{36+25}[/tex]

[tex]YZ = \sqrt{61}[/tex]

For PR:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]

[tex]PR = \sqrt{25+36}[/tex]

[tex]PR = \sqrt{61}[/tex]

For XZ:

[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]

[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]

[tex]XZ = \sqrt{5^2+3^2}[/tex]

[tex]XZ = \sqrt{34}[/tex]

From the calculations above:

[tex]PQ = XY = \sqrt{185[/tex]

[tex]QR = XZ = \sqrt{34[/tex]

[tex]PR = YZ = \sqrt{61[/tex]

Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)

2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.

Answers

Answer:

you're scale is 1.6666667

Step-by-step explanation:

because if you do 30 decided by 18 it gives u 1.6666667

Simplify:1/5 + (-2/3)?

Answers

Answer:

SOOOOOO

Step-by-step explanation:

YOU MAKE  IT 1/5 + -2/3

INTOOO

3/15+-10/15

THENNNN

YOU ADD THEMMM

AND UU GETTTT

-7/15

SOOO THAT UR ANSWER ITSS A THE FIRST ONE

-7/15

How can you rewrite -8 -− 10 as an addition problem?

A:-8- -10
B -8+10
C-8+18
D-8+ -18

Answers

Answer:

B. -8+10

Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .

Hope it helps :)

Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is

Answers

Answer:

4, 7 ,2

Step-by-step explanation:

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He raised a sightless face and listened intently as Negore's foot crackled a dead twig."Who comes?" he queried in a thin, tremulous voice."Negore," said the young woman, scarcely looking up from her task.Negore's face was expressionless. For many minutes he stood and waited. The old man's head had sunk back upon his chest. The young woman pressed and prodded the wasted muscles, resting her body on her knees, her bowed head hidden as in a cloud by her black wealth of hair. Negore watched the supple body, bending at the hips as a lynx's body might bend, pliant as a young willow stalk, and, withal, strong as only youth is strong. He looked, and was aware of a great yearning, akin in sensation to physical hunger. 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And now, when I tell thee of how his blindness came to be, thou wilt know, beyond question, that the daughter of Kinoos cannot mother the children of a coward such as thou art, Negore."Again she silenced the speech that rushed up to his tongue."Know, Negore, if journey be added unto journey of all thy journeyings through this land, thou wouldst not come to the unknown Sitka on the Great Salt Sea. In that place there be many Russian folk, and their rule is harsh. And from Sitka, Old Kinoos, who was Young Kinoos in those days, fled away with me, a babe in his arms, along the islands in the midst of the sea. My mother dead tells the tale of his wrong; a Russian, dead with a spear through breast and back, tells the tale of the vengeance of Kinoos."But wherever we fled, and however far we fled, always did we find the hated Russian folk. 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