why are the side lengths of a right triangle a pythagorean triple

Answer:

[tex]9^{2} -x^{2}[/tex]

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: [tex]A_{big}=9^{2}[/tex]

The area of the smaller square is: [tex]A_{small}: x^{2}[/tex]

The difference between these areas is: [tex]A=9^{2} -x^{2}[/tex]

Therefore, the expression that can be used to find the light gray area is: [tex]9^{2} -x^{2}[/tex]

Additionally, the expression [tex]x(9-x)+9(9-x)[/tex] is also a right answer, because it's equivalent to the first answer.

[tex]x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

D.- Ramesh is not correct because as the exponents decrease, the previous value is divided by 7, so 7^-5 = 1 ÷ 7 ÷ 7 ÷ 7 ÷ 7 ÷ 7 = 1/16,807.

I think it is 123 meters Answer:

Step-by-step explanation:

Answer:I would think u would

Step-by-step explanation:42,500×26

Answer:

1634.62$

Step-by-step explanation:

P=S/n

P=42500/26=1634.62

Answer:

  2

Step-by-step explanation:

For a quadratic function the average rate of change on an interval is the rate of change at the midpoint of the interval. The rate of change of a function is given by its derivative.

The derivative of f(x) = x^2 is f'(x) = 2x. The midpoint of the interval is (4+(-2))/2 = 1. Then the average rate of change is ...

  f'(1) = 2(1) = 2

The average rate of change of f(x) on [-2, 4] is 2.

__

Alternate solution

The average rate of change is the slope of the line between the end points of the interval:

  m = (y2 -y1)/(x2 -x1)

  m = (f(4) -f(-2))/(4 -(-2)) = (20 -8)/(6) = 2

The average rate of change on [-2, 4] is 2.

_____

The attached graph shows the points on the curve and a line with slope 2 between them. It also shows the various slope calculations.

Answer: Please provide the triangle

Answer:

First one

Step-by-step explanation:

1 dot over 150: 150 once

3 dots over 160: 160 thrice

5 dots over 165: 165 five times

4 dots over 175: 175 four times

{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

The data sets that represents the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}.

We have given the,

The following dot plot shows the pulse rates of runners after finishing a marathon.

A normal resting heart rate for adults ranges from 60 to 100 beats per minute.

dot plot with the title of Pulse Rates of Marathon Runners, Pulse Rate.

on the x-axis, and the Number of Runners on the y axis with 1 dot over 150, 3 dots over 160, 5 dots over 165, and 4 dots over 175.

1 dot over 150: 150 once 3 dots over 160: 160 thrice 5 dots over 165: 165 five times 4 dots over 175: 175 four times.

Therefore the data sets which represent the dot plot is,{150, 160, 160, 160, 165, 165, 165, 165, 165, 175, 175, 175, 175}

Therefore option first is correct.

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9514 1404 393

Answer:

  A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Step-by-step explanation:

Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.

The first description is appropriate:

  Side lengths of 4 units and 2 units and a nonincluded angle of 30°

Answer:

(30*20)+200

Step-by-step explanation:

27 to 30

18 to 20

172 to 200

Answer:

1024

Step-by-step explanation:

I don't know what this superscript is but the answer is above.

Answer:OPTION D: 2^10 = 1024

Step-by-step explanation: I just took the quiz on edge.hope this helps :)

Answer:

The new volume would be 14,850cm³.

Step-by-step explanation:

The volume of a rectangular prism is:

[tex]V = l*w*h[/tex]

In which l is the length, w is the width and h is the height.

Dimensions tripled.

So [tex]l = 3l, w = 3w, h = 3h[/tex]

The modified volume will be:

[tex]V_{m} = 3l*3w*3h = 27*l*w*h = 27V[/tex]

Volume of 550 cm³ before the dimensions are tripled.

This means that [tex]V = 550[/tex]

New volume:

[tex]V_{m} = 27*550 = 14850[/tex]

The new volume would be 14,850cm³.

Answer: The answer is A.

Step-by-step explanation:

x < 1 or x > 15

The solution set of the inequalities are,

1) x ∈ [15, ∞)

2) x ∈ (- ∞, 1]

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequalities are,

1) 3x + 7 ≤ 4x - 8

2) - 2x + 3 ≥ 1

Now, Simplify the inequality as;

1) 3x + 7 ≤ 4x - 8

⇒ 3x + 7 ≤ 4x - 8

⇒ 7 + 8 ≤ 4x - 3x

⇒ 15 ≤ x

⇒ x ∈ [15, ∞)

2) - 2x + 3 ≥ 1

⇒ - 2x + 3 ≥ 1

⇒ 3 - 1 ≥ 2x

⇒ 2 ≥ 2x

⇒ 1 ≥ x

⇒ x ∈ (- ∞, 1]

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Answer:

  (f(x) -f(a))/(x -a) = x +a +1

Step-by-step explanation:

(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)

  = ((x -a)(x +a) +(x -a))/(x -a) = x +a +1

(f(x) -f(a))/(x -a) = x +a +1

Answer:

$209.18

Step-by-step explanation:

352 miles*$0.25 per mile = $88 for mileage.

$19.95 per day * 4 days = $79.80

88+ 79.80 + 41.38 for gass = $209.18 Total Cost

Answer:

A) 26

E) 12

Step-by-step explanation:

11x ≥ 132

x ≥ 12

The solution set would include numbers greater than or equal to 12

Answer:

(2/3)^8

Step-by-step explanation:

Note that 2^8 = 256, and that 3^8 = 6561.

Then 256/6561 = (2/3)^8

Answer:

  see below

Step-by-step explanation:

The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.

The line for x > 2 is the horizontal line x=2.

The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.

Answer:

the person above is correct

Step-by-step explanation:

:p

Answer:

10

Step-by-step explanation:

1 kg = 1000 g

1000/100=10

Answer:

x = ±8

Step-by-step explanation:

x^2 = 64

Take the square root of each side

sqrt(x^2) = ±sqrt(64)

x = ±8

Answer:

1/3

Step-by-step explanation:

4 fish, 1 cat,2 dogs,and 2 birds = 9

dogs or 4 legged = cats and dogs = 1+2 = 3

P(dog or 4 legged) = number of dogs or 4 legged / total

                                 =3/9

                                =1/3

Answer:

⅓

Step-by-step explanation:

Total pets:

4+1+2+2 = 9

Dog or four legged pets: 2 + 1 = 3

Probability: 3/9 = 1/3

Answer:

asnwer is B

Step-by-step explanation:

mark BRAINLIEST

We have been given that Sebastian got estimates from 7 companies for his kitchen remodel: $ 27,500 ; $31,000 ; $36,000 ; $92,000; $29,000 ; $30,500 ; $28,500. We are asked to find the best measure of center for the given data.

We can see that our given data set has a large valued data point that is $92,000.

We know that mean is very much affected by large valued outliers. The data point $92,000 will increase the mean. Therefore, mean is not a best measure of center for given data.

We know that median is very less affected by outliers, therefore, median will be best measure of center for the given data.

Answer:

23x + 18y = 1446

x + y = 72

Step-by-step explanation:

The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).

Thus, 23x +18y = $1446.

The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).

Thus, x + y = 72.

Answer:

No. of Small Beverage = x = 10

No. of Large Beverage = y = 12

Step-by-step explanation:

Analyzing the given situation, we can form two algebraic equations.

Since, she has 100 lemons and 4 lemons are required for small beverage, while 5 lemons are required for large beverage. So, we can form the equation:

4x + 5y = 100   --------- eqn (1)

where,

x = No. of small beverages sold

y = No. of large beverages sold

Similarly, she has 180 table spoons of sugar and 6 table spoons are required for small beverage, while 10 table spoons are required for large beverage. So, we can form the equation:

6x + 10y = 180   -------- eqn (2)

From eqn (1):

x = (100 - 5y)/4   ------- eqn (3)

Substituting this value of x in eqn (2)

(6)(100 - 5y)/4 + 10y = 180

10 y - 7.5 y= 180 - 150

2.5 y = 30

y = 30/2.5

y = 12

Using this value of y in eqn (3)

x = [100 - (5)(12)]/4

x = 10

Therefore, in order to maximize the earnings the kid should sell following number of each beverage:

No. of Small Beverage = x = 10

No. of Large Beverage = y = 12

Answer:

0.004

Step-by-step explanation:

Since 4/10 is 0.4 and 4/100 is 0.04, 4/1000 must be 0.004

Answer:

0.004

Step-by-step explanation:

[tex]\frac{4}{1000}[/tex] is basically [tex]4 \cdot 10^{-4[/tex] (if you've learned scientific notation), so all you have to do is move the decimal to the left four times. That gives us

[tex]4.0\\0.4\\0.04\\\boxed{0.004}[/tex]

More depth:

[tex]10^{-4[/tex] also equals 0.001, so [tex]4 \cdot 0.001 = \boxed{0.004.}[/tex]

*You may do division and find the answer too. However, these ways are quicker.

Answer:

Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.

Step-by-step explanation:

Answer:

B

Step-by-step explanation: it is a quadratic equation it can only have two intercepts

Answer:

Step-by-step explanation:

Hello!

A pilot study was conducted to test if three food rewards are equally appealing to the participants.

Of 60 participants surveyed:

16 preferred cupcakes (CC)

26 preferred candy bars (CB)

18 preferred dried apricots (DA)

If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3

1.

The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. [tex]X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1}[/tex] Where k= number of categories of the variable.

For this example the statistical hypotheses are:

H₀: P(CC)=P(CB)=P(DA)= 1/3

H₁: At least one of the proportions isn't equal to the others.

2.

To calculate the expected frequencies for each category you have to use the formula: [tex]E_i= n* P_i[/tex] where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.

[tex]E_{CC}= n* P(CC)= 60*1/3= 20[/tex]

[tex]E_{CB}= n*P(CB)= 60*1/3= 20[/tex]

[tex]E_{DA}= n* P(DA)= 60* 1/3= 20[/tex]

3.

The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:

Assuming α: 0.05

[tex]X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378[/tex]

The rejection region is then X²₂ ≥ 7.378

4.

[tex]X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}} + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}= \frac{14}{5}= 2.8[/tex]

I hope this helps!

Answer:

$2,625 ( i think )

If im right add me on snap pls

idk_marqo

Answer: ocd can be characterized as an extreme form of perfectionism, where anything can lead to anxiety fear, and distress. perfectionism is a personality trait where one drives for flawless ness, it becomes ocd when those strives cause literal disorder in ones life

Step-by-step explanation: