Emily says she can prove the Pythagorean Theorem using the following diagram. She explains that she can divide the squares on the two shorter sides into grids with equal-sized grid squares. She says she can then rearrange the grid squares to cover the area of the square on the hypotenuse, which proves that the sum of the squares on the two shorter sides equals the square on the hypotenuse.

A 3 by 3 square, a 4 by 4 square, and a 5 by 5 square, put together to form a right triangle with legs 3 and 4 and hypotenuse 5.

Is this a valid geometrical proof that a2 + b2 = c2 for all right triangles

Answers

Answer 1

Answer:

Step-by-step explanation:

This is correct for all right angle because Pythagoras theorem has proved that for a right-angle triangle, the square of the hypotenuse length is equal to the sum of the square of the opposite side and square of the adjacent sides

c² = a² + b²

This is true because the squares formed a right angle triangle from their arrangements.

So, let proved with the formula

Let assume one square = 1 unit

A 3 by 3 Square

Length = 3

A 4 by 4 Square

L = 4

A 5 by 5 Square. Hypotenuse

L = 5

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Proved, so for all right angle triangles, it is valid

Answer 2

Answer:

A.100 B.10

Step-by-step explanation: Just look at the picture lol

Emily Says She Can Prove The Pythagorean Theorem Using The Following Diagram. She Explains That She Can

Related Questions

a fish tank holds 513 gallons but leaks at a rate of 4 gallons per day and 684 gallons but leak at a rate of 7 gallons per day . after how many days will the amount of water in the two tanks be the same

Answers

35 days 7 times 5 is 35 so it should line up

12 + x = 0.80(x + 20)
Solve the linear equation

Answers

Answer:

20

Step-by-step explanation:

12+x=0.8(x+20)

Divide both sides by 0.8:

15+1.25x=x+20

Subtract x from both sides:

0.25x+15=20

Subtract 15 from both sides:

0.25x=5

Multiply both sides by 4:

x=20. Hope this helps!

Answer:

x = 20

Step-by-step explanation:

12 + x = 0.80(x + 20)

Distribute the 0.80 on the right side.

12 + x = 0.8x + 16

Subtract 0.8x from both sides.

12 + 0.2x = 16

Subtract 12 from both sides.

0.2x = 4

Divide both sides by 0.2.

x = 20

Which function represents the following graph?

On a coordinate plane, a cubic function has an inflection point at (negative 3, 3) and crosses the x-axis at (0, 4.5).
y = StartRoot x minus 3 EndRoot + 3
y = StartRoot x + 3 EndRoot + 3
y = RootIndex 3 StartRoot x minus 3 EndRoot + 3
y = RootIndex 3 StartRoot x + 3 EndRoot + 3

Answers

Answer:

its d on edg

Step-by-step explanation:

just did the test

Answer

y = RootIndex 3 StartRoot x + 3 EndRoot + 3

Step-by-step explanation:

Took quiz

A restaurant is offering a special deal on pizza and drinks. You can get 2 large pizzas and 4 large drinks for $16. Or, you can get 4 large pizzas and 7 large drinks for $30. How much would each pizza (p) and each drink (d) cost separately?

Answers

Answer:

p=4 d=2

Step-by-step explanation:

To do this, we can set up a system of equations.

Special Deal 1:

2p+4d=16

Special Deal 2:

4p+7d=30

Now we can set this up for elimination, and try to eliminate the p variable.

Let's do this by multiplying the entire equation for Special Deal 1 by 2.

2(2p+4d=16)

4p+8d=32

Now we can eliminate p by subtracting the equation for special deal 2, by the equation for special deal 1.

4p+8d=32 minus

4p+7d=30 equals

d=2

Now we can plug that into the original equation to find the cost of p.

2p+4(2)=16

2p+8=16

Subtract 8 from both sides.

2p=8

p=4

Therefore, a pizza costs $4 and a drink costs $2.

Answer: p=4 d=2

Step-by-step explanation:

just did the assignment, it's right

The slope of the graph of the equation Y=2x-2 is 2. What is the y-intercept?
y-intercept =
1
I

Answers

Answer:

-2 or (0,-2)

Step-by-step explanation:

The slope intercept form is y=mx+b, where m represents the slop and b represents the y intercept. Since b here is -2, so is the y intercept's y value. The coordinate of the y intercept is (0,-2). Hope this helps!

change the equation 8x-7y+8=0 into an equivalent equation written in the slope-intercept form

Answers

Answer:

 Slope = 2.286/2.000 = 1.143

Step-by-step explanation:

To convert 8x - 7y + 8 = 0 to slope-intercept form, first, isolate y by moving terms, then divide by the coefficient of y to find the slope and intercept values as per the equation y = mx + b.

To change the equation 8x - 7y + 8 = 0 to slope-intercept form (y = mx + b), you need to solve for y. Here's the step-by-step process:

Move the term 8x to the right side by subtracting 8x from both sides, giving -7y = -8x - 8.

Divide by -7 to isolate y, resulting in y = (8/7)x + 8/7.

Therefore, the equivalent equation in slope-intercept form is y = (8/7)x + 8/7.

Evaluate the expression.
4
5
+
3
5

2
5
÷
1
3
Write your answer as a fraction or as a whole or mixed number.

Answers

The required solution to the expression 45 + 35 - 25 ÷ 13 is approximately 78.077.

To solve the expression 45 + 35 - 25 ÷ 13, we need to follow the order of operations (PEMDAS/BODMAS).

First, we perform the division operation:
25 ÷ 13 = 1.923 (rounded to three decimal places).

Then, we perform the addition and subtraction operations from left to right:
45 + 35 = 8080 - 1.923
             = 78.077 (rounded to three decimal places).

Therefore, the answer to the expression 45 + 35 - 25 ÷ 13 is approximately 78.077.

Learn more about PEMDAS here:

https://brainly.com/question/20876480

#SPJ4

Which excerpt from the poem "Girl Powdering Her Neck" by Cathy Song is an example of a simile?
"her legs folded beneath her / as she sits on a buckwheat pillow"
"Morning begins the ritual / wheel of the body"
"The peach-dyed kimono / patterned with maple leaves"
"She dips a corner of her sleeve / like a brush into water"

Answers

Answer: D “she dips a corner of her sleeve / like a brush into water”

Step-by-step explanation:

The simile from Cathy Song's poem "Girl Powdering Her Neck" is identified in the line that compares the subject's form to 'polished ivory' and her cheek to 'the spring', using the words 'like' and 'as'.

The student asks which excerpt from Cathy Song's poem "Girl Powdering Her Neck" is an example of a simile. A simile is a figure of speech that compares two different things using the words 'like' or 'as'. In the provided excerpts, the simile is found in the line:

From head to foot her lovely form is fair
As polished ivory. Like the spring, her cheek
Presents a radiant bloom...

This line compares the subject's fair form to polished ivory and her cheek to the spring, suggesting freshness and radiance. The use of 'like' and 'as' confirms these comparisons as similes.

Who are y’all a favorite music artist?
Let me know what the word is.
Put me on!

Answers

Answer:

Well I have two that i really enjoy which is Lund and Melanie Martinez

Step-by-step explanation:

Both of their music is amazing I enjoy listening to it all the time there is more i love but i would recommend this two

Answer: Drake, Ariana Grande, Justin Bieber, Shawn Mendes Etc

Step-by-step explanation:

A tank is in the shape of a rectangular prism. If the base has an area of 116 square feet and the tank is 30 feet tall, how many cubic feet of water would the tank contain when it is filled halfway?

Answers

Answer:

1740 cubic feet

Step-by-step explanation:

Given:

A tank is in the shape of a rectangular prism.

Area of base = 116 square feet

Height of the tank = 30 feet

Question asked:

How many cubic feet of water would the tank contain when it is filled halfway?

Solution:

Area of rectangular base = 116 square feet

[tex]Length\times breadth=116[/tex]

As we know:

[tex]Volume\ of\ rectangular\ prism=length\times breadth\times height[/tex]

                                                 [tex]=116\times30=3480\ cubic\ feet[/tex]

That means capacity of tank is 3480 cubic feet.

When it is filled halfway, it will contain =

[tex]\frac{1}{2} \ of\ volume=\frac{1}{2}\times3480=1740\ cubic feet[/tex]

Thus, tank will contain 1740 cubic feet of water when it is filled halfway.

THIS QUESTION DOESNT MAKE ANY SENSE TO ME SO IF YOU KNOW OR COULD HELP PLEASE DO


A cone-shaped kitchen funnel has a diameter of 6 inches and a height of 7 inches. About how many times would you need to fill the funnel to fill a cylindrical can that has a radius of 4 inches and a height of 13 inches?


A. 3


B. 4


C. 9


D. 10

Answers

Answer:

The funnel will fill the container in about 10 times

Step-by-step explanation:

To solve this question, the principal thing to do is to calculate the volumes of the cone-shaped funnel and the cylinder to actually know the number of times we will need to fill the funnel so as to fill the cylinder,

These number of times can simply be calculated by dividing the volume of the cylinder by the volume of the cone-shaped funnel.

Mathematically, we proceed as follows;

Volume of the cone funnel = 1/3 ×π× [tex]r^{2}[/tex]× h, where r and h represents the radius and height of the cone respectively.

From the question D = 6 inches, and mathematically r = D/2 = 6/2 = 3 inches and h = 7 inches

Plugging the values we have in the question, the volume = 1/3 ×π×[tex]3^{2}[/tex]×7 = 21π [tex]inches^{3}[/tex]

For the cylindrical receptacle, we have the volume calculated as π× [tex]r^{2}[/tex]× h

Where r = 4 inches and h = 13 inches.

Plugging these values we have ; π × [tex]4^{2}[/tex]× 13 = 208π [tex]inches^{3}[/tex]

Now the number of times is simply = volume of cylindrical container/volume of cone-shaped funnel

= 208π/21π = 208/21 = 9.9 which is approximately 10 times

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=−26x2+1186x−8433

Answers

Answer:$5075

Step-by-step explanation:

$5075

Hope this helps

Pls gimme brainlest.

For which of the following value(s) of p is the following function NOT defined:

Answers

For p=5 function not defined

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

P.S. Hello from Russia

Answer:

A.  (5).

Step-by-step explanation:

It' not defined if the denominator  3p - 15 is equal to zero.

This happens when p = 5  ( 3(5) - 15 = 0).

Find the slope and the y-intercept of the line.

2x - 3y = -6
Select one:
A. slope: - ; y-intercept: -2
B. slope: - ; y-intercept: 2
C. slope: ; y-intercept: 2
D. slope: ; y-intercept: -2
Clear my choice

Answers

Answer:

choose choice c:  slope is  (2/3) and y-intercept is 2

Step-by-step explanation:

2x - 3y = -6

Convert this equation to Slope-Intercept form.

2x - 3y  - 2x  = -6 - 2x

-3y  =  -6  - 2x

Divide both sides by -3

y = (-6  - 2x)/ (-3)

y =  2  +  2x/3

slope is  (2/3) and y-intercept is 2

Which expression is equivalent to 1/2- (-8)?

Answers

Answer:

1/2 + 8 is equivalent to 1/2 - (-8)

0.5 - (-8) is ALSO equivalent to 1/2 - (-8)

0.5 + 8 is another equation that is equivalent to 1/2 - (-8)

Step-by-step explanation:

Step-by-step explanation:

0.5-(-8) is equal to it

Margaret is planning a wedding reception. She wants to spend less than her budget of 5,676, and margaret has already spent 2,652. The meal price per guest is 28. How many guests, x, can margaret invite to the reception and stay under budget?

Answers

Final answer:

To determine how many guests Margaret can invite to stay under budget, follow the steps to calculate the maximum number of guests based on the remaining budget and meal price per guest.

Explanation:

To determine how many guests Margaret can invite to stay under budget, follow these steps:

Calculate how much budget Margaret has left: $5,676 - $2,652 = $3,024.Divide the remaining budget by the meal price per guest to find out the maximum number of guests she can invite: $3,024 ÷ $28 = 108. Therefore, Margaret can invite a maximum of 108 guests and stay under budget.

The circumference of a circle is 38.936 meters. What is the circle's diameter?

Answers

The circumference of a circle = 2πr

r = d/2 , so C = πd

Move the pi to the other side so d = C/π

38.936/π = 12.394 meters

Can the sides of a triangle have lengths 9.2, 7.8, and 2.1?

Answers

Step-by-step explanation:

9.2 + 7.8 = 17 > 2.1

7.8+2.1= 9.9> 9.2

9.2+2.1= 11.3 > 7.8

Since, sum of any two sides is greater than the third side, a triangle can have these lengths

Which expression matches: 7 less than the product of 4 and 5

7- (4 + 5)
7- 4(5)
4(5) -7
(4 + 5) -7

Answers

Answer:

4(5) -7

Step-by-step explanation:

4(5) -7

The product of 4 and 5 means that 4 and 5 are multiplied together.

"7 less than," means subtracting 7.

That means you get 4(5) - 7

Cory sold 6 baseball cards to a collector for a total of $90. He sold each card for the same price. What is the unit rate of Cory’s baseball cards?

Answers

Answer:

The answer would be 15

Step-by-step explanation:

90÷6=15

Michael Rice’s bike at a constant speed of 12 mph how far can he travel in two hours

Answers

Answer:

The answer to your question is distance = 24 mi

Step-by-step explanation:

Data

speed = 12 mph

time = 2 hours

distance = ?

Process

To solve this problem, use the speed formula. Speed is a variable that measures the distance travel by a body over time.

speed = distance / time

-Solve for distance

distance = speed x time

-Substitution

distance = 12 x 2

-Result

distance = 24 mi

Answer:

24miles

Step-by-step explanation:

12/1 = x/2

where the numerator is the miles and the denominator the hours

cross multiply

12×2 and dived by 1 to yet your answer.

richard loves to golf he has 54 golf balls he bought 18 more and received 2 packs of 12 golf balls for his birthday when he went to play he lost 12 golf balls and gave 14 to his brother how many golf balls does richard have left

Answers

Answer:

70 golf balls

Step-by-step explanation:

54+18+24-12-14=70

A circle has a radius of 5 and the arc measure is 60. what is the Arc lenght

Answers

Answer:

5.23 units

Step-by-step explanation:

Let the length of arc be l

[tex]central \: \angle \: ( \theta) = 60 \degree \\ radius \: (r) = 5 \: units \\ \\ \because \: l = \frac{ \theta}{360 \degree} \times 2\pi \: r \\ \\ \therefore \: l = \frac{60 \degree}{360 \degree} \times 2 \times 3.14 \times 5 \\ \\ \therefore \: l = \frac{1 }{6} \times 31.4 \\ \\ \therefore \: l = 5.23 \: units[/tex]

1. Mr. Gomez stores his iguana food in a can that is eight inches tall and has a diameter of six inches. He stores his hamster food in a can that is ten inches tall and has a diameter of five inches. Which can of food is larger?

Answers

Answer:

The iguana can is larger

Step-by-step explanation:

Plug in the measurements into the equation for a cylinder (V=πr^2h) to find out which volume is bigger. Remember to divide the diameter by 2 to radius.

(Hampster) V≈196.35 < V≈226.19 (Iguana)

Would i solve this doing 14+5 or 14-5 to get the missing length?

Answers

Answer:

The answer to your question is 10 ft

Step-by-step explanation:

We can observe that all the sides have a length but the first to the left.

Also, we know the corners meet at right triangles, so to calculate the length of the missing side, we must add to sides.

But these sides must be the ones that are in front of it (6 ft and 4 ft)

Then    ? = 6 + 4

               10 ft

Can you help me with this: 4x + y = 6

Answers

Answer:

y = -4x + 6

Step-by-step explanation:

For a slope-intercept equation, you need to isolate the y. For this equation, just subtract 4x from both sides to get y on it's own.

Point B has coordinate B(1, -1).
What is the coordinate of B' under a scale factor of 3?
A:(1,-1)
B:(3, -3)
C:(-2, 2)
D:(-6, 6)

Answers

Answer:

B

..............................................

Answer: I believe it would be B(3,-3), Please correct me if I'm wrong, but thats the way I was taught when dealing with scale factors.

Step-by-step explanation:

Use the spinner to identify the probability to the nearest hundredth of the pointer
landing on a non-shaded area.

Answers

The answer is 0.60 because the sum of the shaded angles equals 145°, divided by 360° equals 0.60



A train leaves at 17.22 and arrives at its destination at 18.14.

If the train travelled 56 km, what was it's the average speed in km/h?

Give your answer rounded to 1 dp.

Answers

The train's average speed was calculated by using the formula for average speed (Total distance \/ Total time), resulting in approximately 64.4 km/h, after converting the total journey time from minutes to hours.

To calculate the average speed of the train, we can use the formula:

Average speed = Total distance \/ Total time

First, we find the total time taken by the train for its journey:

Departure time: 17:22

Arrival time: 18:14

Total time = Arrival time - Departure time

Total time = 18:14 - 17:22

Total time = 52 minutes

To convert minutes to hours (since speed is in km/h), we divide by 60:

Total time in hours = 52 / 60 ≈ 0.87 hours

Now, we can plug in the given distance and calculated time into the formula:

Average speed = 56 km / 0.87 hours ≈ 64.4 km/h

Hence, the train's average speed was approximately 64.4 km/h, rounded to 1 decimal place.

Let f= {(-5,1).( - 4,0).(0,6)}
Find f(0)
f(0)=

Answers

Given:

It is given that the coordinates of the function are [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex]

We need to determine the value of f(0)

Value of f(0):

The value of f(0) is the value of the function when the input is 0.

We need to determine the value of f(0) when the input is x = 0

Thus, from the coordinates of the function [tex]f=\{(-5,1),(-4,0),(0,6)\}[/tex], it is obvious that the input value of the function is x = 0 , then the value of the function f(0) = 6.

Thus, when the input value x = 0, the output is f(0) = 6.

Therefore, the value of f(0) = 6.

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What is the range of the function graphed on the grid 0). Where is Point B on the number line? Tri-state Financial Corporation hires Uri, a real estate agent, to locate investment properties for Tri-state. Uri learns of a warehouse available for $100,000, informs Tri-state, and makes an offer of $90,000 on Tri-state's instruction. The offer is rejected. UriA.the agent's fiduciary duties to the principal.B.did nothing wrong.C.failed to take advantage of a business opportunity.D.made an unreasonable offer based on current market value. Shadee Corp. expects to sell 550 sun visors in May and 380 in June. Each visor sells for $12. Shadees beginning and ending finished goods inventories for May are 85 and 45 units, respectively. Ending finished goods inventory for June will be 65 units. It expects the following unit sales for the third quarter: July 545 August 460 September 470 Sixty percent of Shadees sales are cash. Of the credit sales, 54 percent is collected in the month of the sale, 37 percent is collected during the following month, and 9 percent is never collected. Required: Calculate Shadees total cash receipts for August and September. (Do not round your intermediate calculations. Round your answers to the nearest whole dollar.) Determine the slope of the line which contains the following points.(-3,5) and (2,-6) A carousel has eight evenly spaced seats shaped like animals. During each ride, the carousel makes between 8 and 9 clockwise revolutions. At the end of one ride, the carousel stops so that the lion is in the position where the zebra was when the ride started. Through how many degrees did the carousel rotate on this ride Which of the following relationships is most similar to the relationship below?Melting snow: RiverA. Floods: RainwaterB. Evaporating water: RainfallC. Mountains : Tall treesD. Soil erosion : Mountains What is the distance between (-5, -6) and (-3,-8)? What countries were in the Allied Powers? Check all that apply.USABritainSoviet UnionJapanItalyFranceGermany Now, make a list of arguments against the annexation of Hawaii by the US government. Select one argument and write a brief justification of 50 to 60 words. Amelia is 3 years older than Caleb, and Caleb is 2 years more than half of Amelia's age. The system of equations represents this situation. A = 3 + C C = 2 + 0.5A How old is Amelia? How old is Caleb? Which branch of government usually has the MOST power in a parliamentary democracy? When concluding his speech, Martin says, 'And so, I want to encourage each of you to donate the $500 it will take to build awell. If we each donate $500, we will be able to build dozens ofWhat is the problem with Martin's request? What would be a more appropriate conclusion? Really Need help please Which of the following sentences is correctly punctuated? A. I just really need to pass this class, I plan to graduate in June. B. I have only one final exam it is in my history class. C. I shouldn't feel stress with only one final exam, but history is my hardest subject. D. Finals week is next week, I am already starting to feel stress. How many joules (J) are needed to increase the temperature of 10.0 g of lead (Pb) from 30 C to 50 C? (Cp for Pb = 0.128 J/gC)25.6 J38.4 J64.0 J102.4 J According to a study conducted by an organization, the proportion of Americans who were afraid to fly in 2006 was 0.10. A random sample of 1 comma 100 Americans results in 121 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased. Please describe the Iditarod. Environmental groups work to educate the public and eliminate the_________that the earth is perfectly healthy.crisisurgencyillusionpollutionuniversalenvironment Jeannie works 5 hours on Tuesday, 3 hours on Wednesday, and 4.5 hours on Thursday. If h represents her hourly pay rate, which expression below shows the amount she earned?12.512.5h12.5 + hStartFraction 12.5 Over h EndFraction