Prove that the side lengths 3, 9, and 12 do not represent a right triangle. Make sure to include ALL calculations.

Prove That The Side Lengths 3, 9, And 12 Do Not Represent A Right Triangle. Make Sure To Include ALL

Answers

Answer 1

Step-by-step explanation:

a^2+b^2=c^2

3^2+9^2 not equal to 12^2


Related Questions

convert 0.001 * km ^ 3 into m ^ 3​

Answers

Answer:

[tex]1,000,000 \: {m}^{3} [/tex]

Step-by-step explanation:

[tex]0.001 \: {km}^{3} \\ \\ = 0.001 \times {(1000)}^{3} \\ \\ = 0.001 \times 1,000,000,000 \\ \\ = 1,000,000 \: {m}^{3} [/tex]

type of angle that has the sallest measure

Answers

Answer: acute angle

Step-by-step explanation: acute angle is the smallest starting from 0 to 90 DDegrees .

Acute angle because it is anything smaller than 90 degrees

A sample of 100 students was randomly selected from a middle school in a large city. These participants were asked to select their favorite type of pizza: pepperoni, cheese, veggie, or Hawaiian. pizza preference and gender were recorded for each participant. The results of the survey are summarized in the table

Answers

The variables of the hypothesis test include the favorite type of pizza and the gender

The null hypothesis is Favorite pizza and gender are independent

How to determine the null hypothesis?

From the complete question, the variables that are measured are:

Favorite type of pizzaGender

The null hypothesis of a test used the equality statement.

So, the null hypothesis would be

Favorite pizza and gender are independent

Read more about null hypothesis at:

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Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.

How many more cookies will Jessica have than Martha?

If x represents the number of cookies Jessica started with, complete the statements below.

The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.

Answers

That part is total cookies as per algebraic formula x^2-(a+b)x+ab=0

Hence

The inequality is

[tex]\\ \rm\rightarrowtail x^2-30x+224>=0[/tex]

[tex]\\ \rm\rightarrowtail (x-14)(x-16)>=0[/tex]

[tex]\\ \rm\rightarrowtail 14\leqslant x\leqslant 16[/tex]

Solution range

[14,16]

Atleast means the range

16-142

Atleast 2 more than Martha

You worked
44 hours. 40
regular hours a
$8.50 and 4
overtime hours. What would be your gross pay?

Answers

Answer:

$391.00

Step-by-step explanation:

Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.

We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:

[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]

You will get paid $391.00 in gross pay, before taxes :)

Using technology, determine the semi-annual payment on a 3 year loan of $8,561 at 9. 1% compounded semi-annually. Round your answer to the nearest cent. A. $1,662. 47 c. $1,925. 92 b. $1,914. 11 d. $1,991. 12.

Answers

The semi-annual payment is $1662.47

What will be the semi annual payment?

Given : A 3 year loan of $8,561 at 9.1% compounded semi-annually.

We have to determine the semi annual payment.

We know,

[tex]P=\dfrac{PV.r}{1-(1+r)^{-n}}[/tex]

Where PV is present value of loan.

r is rate of interest

n is time period.

Given loan is calculated semi annually,

So PV = $ 8561

r=9.1 % =9.1/200

and time period is 3 years = 6 number of period as semi annually.

Thus, Substitute,

We get,

[tex]P=\dfrac{8561(\dfrac{9.1}{200})}{1-(1+\dfrac{9.1}{200})^{-6}}[/tex]

[tex]P=1662.47[/tex]

Hence the semi-annual payment is $1662.47

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If there are 40% of girls and 250 are boys, find
(i) the total number of students
(ii) the number of girls.​

Answers

Step-by-step answer:

If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.

i)

Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.

[tex]Total * 0.6 = 250[/tex].

[tex]Total = 250/0.6[/tex]

[tex]Total = 417[/tex]

There are 417 students

ii)

Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

[tex]417 * 0.4 = 167[/tex]

There are 167 students that are girls.

sin^-1(√3-1/2√2)
please give me answer ​

Answers

use a calculator and the correct answer is 0.019134405

and then round off the that answer into 2 significant number

sin^-1(√3-1/2√2)

please give me answer

(Little tricky; worth extra points )

Which series of transformations shows that pentagon A is congruent to Pentagon B?


A. Reflect pentagon A over the y-axis, rotate it 180 degrees clockwise about the origin, and translate it 3 units up

B. Rotate pentagon A 90 degrees clockwise about the point (1,1) reflect it over the x-axis, and translate it 3 units to the left.

C. Rotate pentagon A 90 degrees clockwise about the origin, reflect it over the x- axis, and translate it 6 units to the left.

D. Reflect pentagon A over the y-axis and translate it 2 units to the left and 8 units up.

Answers

Answer:

i am pretty sure it's A or B

Step-by-step explanation:

hope this helps

→(·°ω°·)←

please help!! it is due today and i will give 50 points

Answers

Answer:

E) 36 ft²

Step-by-step explanation:

Formulae

Area of a triangle = 1/2 x base x heightArea of a rectangle = width x length

The shape is made up of 2 congruent triangles and 3 different rectangles.

Area of triangle = 1/2 x 3 x 4 = 6 ft²

Area of rectangle 1 = 2 x 4 = 8 ft²

Area of rectangle 2 = 2 x 3 = 6 ft²

To calculate the area of the 3rd triangle, we need to use Pythagoras' Theorem to determine the length of the hypotenuse of the right triangle.

   a² + b² = c²

⇒ 3² + 4² = c²

⇒ 25 = c²

⇒ c = √(25)

⇒ c = 5 ft

Therefore, area of rectangle 3 = 2 x 5 = 10 ft²

Total Surface Area

Total SA = 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

               = (2 x 6) + 8 + 6 + 10

               = 36 ft²

Please help me yall I am so done with hw

Answers

Cities are pretty far from each other so you would have to use miles

Answer: the answer is d which is Miles .

Step-by-step explanation: it is Miles because there is a far distance bbetween Cities .HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST . THANKS .

How you should answer:

1. Known:

2.Unknown:

3.Rationle:

4.Equation and Solution:


Steps on how to answer:

-State the known

-State the unknown and represent it with a variable

-Provide a rationale for your approach

-Include the equation, exact answer, and decimal approximation

Answers

Question 1

Focus on the triangle on the left.

sine is the ratio of opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(44) = w/30

w = 30*sin(44)

w = 20.839751 approximately

Now move onto the triangle on the right. We'll use cosine this time.

cos(angle) = adjacent/hypotenuse

cos(x) = w/45

cos(x) = 20.839751/45

cos(x) = 0.463106

x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]

x = 62.412286

Answers:w = 20.839751 approximatelyx = 62.412286 approximately

==========================================================

Question 2

Focus on the triangle on the left.

sin(angle) = opposite/hypotenuse

sin(32) = w/5

w = 5*sin(32)

w = 2.649596

Now move to the triangle on the right.

sin(angle) = opposite/hypotenuse

sin(x) = w/5

sin(x) = 2.649596/5

sin(x) = 0.5299192

x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]

x = 31.999996

Answers:w = 2.649596 approximatelyx = 31.999996 approximately

==========================================================

Question 3

This time we use the tangent ratio.

Focus on the triangle that has legs of w and 16.

tan(angle) = opposite/adjacent

tan(70) = 16/w

w*tan(70) = 16

w = 16/tan(70)

w = 5.823524

Now let y = x+w and focus on the largest triangle this time.

tan(angle) = opposite/adjacent

tan(41) = 16/y

y = 16/tan(41)

y = 18.405895

This leads to:

y = x+w

x = y-w

x = 18.405895 - 5.823524

x = 12.582371

Answers:w = 5.823524 approximatelyx = 12.582371 approximately

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS! A local grocery store released the following statistics on the average volume of products sold per month in its two branches over the past six months.

Answers

Answer:

a. House hold laundry

b. Beverages

c. Snacks

Step-by-step explanation:

Do mark brainliest.

#a

For branch A

Household laundry

For branch B

Snacks

#b

For branch A

snacks

For branch B

Canned goods

#c

Branch A

20+25+15+28+20108

Branch B

20+18+30+23+20111

Branch B performed better

HELP ME PLS. brainy reward it is about hangers.
The Problem: 20/3x = 5(x+1/2) + 4/3

20/3 , 1/2 , 4/3 are fractions. Solve for x

Answers

Answer:

x=23/10

Step-by-step explanation:

the dash is a fraction

A number line going from negative 10 to positive 10. Use the number line to help you answer the question. Which statements are true? Check all that apply. –4 < –8 |–4| < |–8| |–5| > 1 –5 > |1| |–2| = |2|

Answers

Answer:

2. |-4| < |-8|

3. |-5| > 1

5. |-2| = |2|

Answer:

2,3,5 are correct

Step-by-step explanation:

i took the test

-5x-21 find value of x

Answers

Answer:

The value of x = -21/5

Step-by-step explanation:

=> -5x-21 =0

=> -21 = 5x

=> -21/5 = x

Answer:

Step-by-step explanation:

you want to set the equation equal to 0

-5x - 21 = 0

add 21 to both sides to get the variable by itself

-5x = 21

divide both sides by -5

x = - 21/5

X + 4y = 7 4x - 3y = 9 equivalent equation and solution

Answers

Answer:

x = 3, y = 1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}x+4y=7\\ 4x-3y=9\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=7-4y[/tex]

[tex]\begin{bmatrix}4\left(7-4y\right)-3y=9\end{bmatrix}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\begin{bmatrix}28-19y=9\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=7-4y[/tex]

[tex]\mathrm{Substitute\:}y=1[/tex]

[tex]x=7-4\cdot \:1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=3[/tex]

[tex]\mathrm{The\:Answer\:to\:the\:system\:of\:equations\:are:}[/tex]

[tex]x=3,y=1[/tex]

Check Answer:

3 + 4(1)

7 (1) = 7

True

4(3) - 3(1)

12 - 3 = 9

True

Hence, x = 3 , y =1

~lenvy~

Evaluate the quotient of 1.05 x 103and 1 x 103:

1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0

Answers

Answer:

1.05 x 10^0.

Step-by-step explanation:

1.05 x 10^3 / 1 x 10^3

= 1.05/1  x 10^(3-3)

= 1.05 x 10^0

HELP!!!!!HELPPPPPPPPP!

Answers

Answer: answer C.

Step-by-step explanation: you have to add and divide

If x = 2and y = - 2 , find the value of 4x ^ 2 * y ^ - 2​

Answers

hello!

=========================================================

Plug in the values of the variables & simplify:-

[tex]\longrightarrow\pmb{4x^2y^2}[/tex]

The values of the variables are:-

[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]

Simplify:-

[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]

[tex]\longrightarrow\pmb{4*4-4}[/tex]

[tex]\longrightarrow\pmb{16-4}[/tex]

[tex]\longrightarrow\pmb{12}[/tex]

==========================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the answer for this is 4.

The students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.


What was the median number of minutes students brushed
their teeth?

Answers

Answer:

2.5

Step-by-step explanation:

BASED ON GIVEN DATA:

⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES

⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES

THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.

Answer:  0.5  minutes

Step-by-step explanation:  

Hello people ~
what's the product of the square root of 3 and the square root of 12​

Answers

Answer:

6

Step-by-step explanation:

sqrt(3) x sqrt(12) = sqrt(3) x sqrt(4x3) = sqrt(3) x 2sqrt(3)

= 2 ( sqrt(3)² ) = 2 x 3 = 6

Let's see

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{12}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times \sqrt{2(2)(3)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3}\times 2\sqrt{3}[/tex]

[tex]\\ \rm\rightarrowtail 2(3)[/tex]

[tex]\\ \rm\rightarrowtail 6[/tex]

A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?

Answers

Answer:

12 days

Explanation:

480 >/= 36.39x + 20.25

The  inequality to determine x, the maximum number of days Miguel

can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Charges per day = $36.39

Charges per mile = $0.90

Total miles = 225

Total charges for 225 miles.

= 225 x 0.90

= $202.5

The maximum amount to spend = $480

The inequality for the maximum number of x days.

202.5 + 36.39x ≤ 480

Thus,

The  inequality to determine x, the maximum number of days is

202.5 + 36.39x ≤ 480

Learn more about inequalities here:

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#SPJ2

need some help with these questions in the image ​

Answers

a. answer:_77

2_ (7 * 9) _ 16

2_ (63) _16

_61_16

_77

Graph a rectangle with an area of 12 square units. State the lengths of each of the sides. Write your answer LxW (length of one side X length of the other side)​ please help

Answers

A rectangle with area of 12 square units would have sides of length 4 units and 3 units. Area would therefore be 4 x 5.

What are the side lengths of this rectangle?

A rectangle must be such that one side is longer than the other side.

The area of a rectangle is found as:

= Length x Width

As the area is 12, the length and width have to be numbers that when multiplied, will give you 12.

The factors of 12 which allow this to happen are:

= 1, 2, 3, 4, 6, 12

From here you can use 3 and 4.

Find out more on the area of a rectangle at https://brainly.com/question/2607596.

Select the expression that represents the following problem: A glass hols 1/4 liter of liquid. How many glasses of liquid are in 5 liters​

Answers

1 glass..........1/4 liter

n glass.......... 5 liters

n = 1 x 5 : 1/4

n = 5 x 4

so there are 20 glasses

The coach of Darnel's baseball team recorded how many runs the team scored in each game last season. This box plot shows the results. please

Answers

The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.

What are box plots?

A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%

The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.

To learn more about box plots, please check: https://brainly.com/question/27215146

Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square inches. The table is 36 inches wide and 72 inches long without the border. Which quadratic equation can be used to determine the thickness of the border, x? 4x2 216x 2,592 = 0 4x2 216x − 684 = 0 2x2 216x − 3,276 = 0 x2 108x 3,276 = 0.

Answers

The quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

As it is given that the length and the width of the centre area are 72 inches and 36 inches, respectively. When the dimensions of the centre area are converted into the feets, it will be,

[tex]\rm Length = \dfrac{72\ inches}{12} = 6\ feet[/tex]

[tex]\rm Width= \dfrac{36\ inches}{12} = 3\ feet[/tex]

If we take the borders of the table into account, the length and the breadth  of the table will become,

Length = (6+x+x) = (6+2x)

Width = (3+x+x) = (3+2x)

We know that the area of a rectangle is given as the product of the length and width, and also it is mentioned that the area of the entire table is 3,276 square feet. Therefore, the area of the table can be written as,

[tex]{\rm Area=Length \times Width}\\\\3276 = (6+2x)(3+2x)\\\\3276= 18+ 12x+ 6x + 4x^2\\\\4x^2+18x+18-3276=0\\\\4x^2+18x-3258=0\\[/tex]

Thus, the quadratic equation that can be used to represent the thickness of the border is 4x²+18x-3258=0.

Learn more about Quadratic Equation:

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Solve the system of equations by substitution. X + y = 32 y = 7x The solution of the system is (Simplify your answer. Type an ordered pair.)

if you can can you please write out the steps

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

The given equations are :

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

and

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

Now, plug in the value of y from equation 2 into equation 1 to find out the value of x ~

[tex]\qquad \sf  \dashrightarrow \:x + y = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 7x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:8x = 32[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 32 \div 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 4[/tex]

Now, plug the value of x in equation 2 to find y

[tex]\qquad \sf  \dashrightarrow \:y = 7x[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 7 \times 4[/tex]

[tex]\qquad \sf  \dashrightarrow \:y = 28[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

A shop increases all their prices by 9% A picture frame increases by £153 Find the new price of the picture frame.

Answers

The new price of the picture frame is  £1853

Discounts and increments

Given the following parameters

Percentage increase =  9%

Increment = £153

Determine the original value if the frame

9% of x = £153

0.09x = £153

x = £153/0.09
x = £1700

New price = £1700  + £153
New price = £1853

Hence the new price of the picture frame is  £1853

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