Which of the images above represents a proof of the Pythagorean Theorem? Explain your choice, and then explain how the figure proves the Pythagorean Theorem.

Answer is

7^n = 7^3

N=3

Answer:

n=3

Step-by-step explanation:

7

n

=343

Use the rules of exponents and logarithms to solve the equation.

7

n

=343

Take the logarithm of both sides of the equation.

log(7

n

)=log(343)

The logarithm of a number raised to a power is the power times the logarithm of the number.

nlog(7)=log(343)

Divide both sides by log(7).

n=

log(7)

log(343)

​

By the change-of-base formula  

log(b)

log(a)

​

=log

b

​

(a).

n=log

7

​

(343)

Step-by-step explanation:

Step one:

Given

The expression for Katya's distance away from home is given by the expression

[tex]y=60x+20[/tex]

y represents her total distance away from home

x= represent the time of travel in hours

Step two:

60 represents the rate at which the train is traveling in km per hour

20 represents the initial distance from home

we predict her distance away at a given time

say 4 hours, that is x=4hours

substituting in the expression

y=60x+20

y=60(4)+20

y=240+20

y=260km

Answer:

y=260km

Step-by-step explanation:

Answer:

The second choices is the answer

O{(-3,4), (-8,0), (3,-8), (-3,-4)} as you can see there's a repeating domain or value of x which is the -3

Answer:

slope = 1.75

Step-by-step explanation:

slope = Y2-Y1/X2-X1

= 7/4

= 1.75

Answer:

To solve an area of a rectangle the formula is LxW. Right now we only know the width. Lx2 = 112 So, you would do 112 divided by 2 which equals 56.

LxW = 56x2

which is 112

Step-by-step explanation:

Answer:

$4626.548

Step-by-step explanation:

Given that :

Cost of car = $23,500

Value of car decreases by 9% every year

Value of car after 10 years =?

Using the formula :

A = p(1 + r/n)^nt

A = final amount

P = cost of car = principal

r = Depreciation = - 15%

t = number of years

A = 23500(1 + - 0.15/1)^10

A = 23500(0.85)^10

A = $4626.548

Answer:

-0.5

Step-by-step explanation:

Answer:

The answer is B. about 8%

Step-by-step explanation:

The answer is B. because the actual answer would be 8.3333% but rounded it is about 8%

The answer is 4230. I used mathmay to answer this question if you have anymore question like this I would suggest you go there it is a really good math answering site. Hope this helps!!    

Total number of people including players and coach is, T = 37 + 4 = 41.

Total fabric used for making headbands is, h = 813.44 inches.

So, amount of fabric used for each person is :

[tex]F_h = \dfrac{813.44}{41}\\\\F_h = 19.84\ inches[/tex]

Total fabric used for making wristband is : w = 358.16 inches.

Amount of fabric used for each person is :

[tex]F_w = \dfrac{358.16}{41}\\\\F_w = 8.74 \ inches[/tex]

Hence, this is the required solution.

Answer:

Step-by-step explanation:

i want bobox gibe me now ugliy

Answer:

A, the y intercept is 15

Step-by-step explanation:

This function is in standard form and is the only one where you can simply substitute 0 in for x and find the y- intercept.

Answer: you would just do y= 4x (4•1 would be 4) plus 7. hope this helps!!

Step-by-step explanation:

Answer:

Is your computer cracked anywise

Step-by-step explanation:

Answer:

The third one!

Step-by-step explanation: 5 5 5 5 its 5!

Answer:

OK aaaaaaaa. What is it

If a student is not an undergraduate business student, what is the probability they are an undergraduate student in other fields of study = 0.08

It deals with the occurrence of a random event.

Given that a company offers courses to prepare students for the Graduate Management Admission Test (GMAT) has the following information about its customers: 20% are currently undergraduate students in business; 15% are undergraduate students in other fields of study; 60% are college graduates who are currently employed; and 5% are college graduates who are unemployed.

P(undergraduate in business) =  0.20

P(undergraduate in other subjects) = 0.15

P(employed graduates) = 0.60

P(unemployed graduates) = 0.05

We know, P(A') = 1 - P(A)

Therefore, P(not undergraduate business) = 1 - P(undergraduate business) = 1 - 0.20 = 0.80

Hence, probability they are an undergraduate student in other fields of study = 0.08

For more references on probability, click;

https://brainly.com/question/11234923

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Given :

Conditions :

1) Millimetres are larger than centimetres.

2) Meters are larger than kilometres.

3) Millilitres are larger than kilolitres.

4) Kilograms are larger than grams.

To Find :

Which conditions are correct.

Solution :

1) Millimetre is 0.001 m and cm is 0.01 m .

So, option 1 is correct.

2) Kilometer is 1000 m .

So, option 2 is also correct.

3) Millilitres is 0.001 L and kilolitres is 1000 L .

Therefore, this is not correct.

4) Kilogram is 1000 g .

Therefore, this is also correct.

Therefore, option 1 , 2 and 4 are correct.

Hence, this the required solution.

Answer:

turn it into a decimal first

Step-by-step explanation:

Answer:

The correct option is;

Dennis must have stopped for an hour in the middle of this trip

Step-by-step explanation:

The given parameters are;

The distance Dennis covered in 5 hours = 500 km

Dennis's average speed in the first two hours = 150 km/h

Dennis's average speed in the last two hours = 100 km/h

Therefore;

Dennis traveled 150 km/h × 2 h = 300 km in the first two hours

Dennis traveled 100 km/h × 2 h = 200 km in the last two hours

Which gives, Dennis traveled 300 km + 200 km in  2h + 2h = 4h

Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.

Answer:

3p + 3 = 18

3p = 18 -3

3p = 15

p = 15/3

p= 5

Step-by-step explanation:

Answer:

C. 125

Step-by-step explanation:

The ratio for one time is 3:6. It is 3:6 because there are 3 numbers less than 4 on a number cube. You can now compare the two ratios.

3:6 = x/250.

This is a ratio, so both numbers would have to be multiplied by the same number. 6 * 41 = 250.

3 * 41 = 123.

(41 was rounded from 41.6666667. This is why it comes out to 123.)

A. 10x+55=y

B. 5.2 months or 5 months

Answer:

Yeah i am pretty sure you are right

Step-by-step explanation:

Answer:

right triangle

Step-by-step explanation:

Answer:

It is an scalene triangle.

Step-by-step explanation:

A scalene triangle is a triangle that's lines aren't equal. So in this case, this is a scalene triangle.

Answer:

136000×2000\8×100 do like that the answer is come

Answer:

The cost of each bushes is $9.00

The cost of each bonsai trees is $32.00

Step-by-step explanation:

The given parameters are

The amount the company paid for 15 bushes and 8 bonsai trees = $391

The amount for which the company purchased 9 more bushes and 5 more bonsai trees = $241

Let x represent the cost of each bushes and let y represent the cost of each Bonsai Trees, we have;

15 × x + 8 × y = 391...(1)

9 × x + 5 × y = 241...(2)

We make y the subject of both equations to get;

For equation (1), we have;

15·x + 8·y = 391

15·x + 8·y = 391

8·y = 391 - 15·x

y = 391/8 - 15/8·x

For equation (2), we have;

9 × x + 5 × y = 241

5·y = 241 - 9·x

y = 241/5 - 9/5·x

Equating both equations, gives;

391/8 - 15/8·x = 241/5 - 9/5·x

391/8 - 241/5 = 15/8·x - 9/5·x = 0.075·x

0.675 = 0.075·x

x = 0.675/0.075 = 9

x = 9

Therefore, the cost of each bushes = x = $9.00

From, y = 241/5 - 9/5·x, we have;

y = 241/5 - 9/5×9 = 32

y = 32

Therefore, the cost of each bonsai trees = y = $32.00

Answer:

We get two values x = 24\5

x = -9\8

Step-by-step explanation:

We can also do it by another method.

(5x - 24)

(8x + 9)

Just change the signs of 8x and 9 in minus.

we get

-3x = -33

3x =33

x = 33\3

x = 11

Hope this helps you.

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