Why are some right triangles considered special?

Answer:

D. The data point is 2.5 standard deviations away from 0.5.

Step-by-step explanation:

Z-score is the measure of how many number of standard deviations, the data point, is away from the mean. It also measures how many standard deviations below or above the population mean, a raw score is.

Given, a set of data has a mean (μ) of 0.5 and a standard deviation (σ) of 0.01 with a data point of the set has a z-score of 2.5.

i.e the data point is 2.5 standard deviations away from the mean 0.5.

Hope this helped!

Answer:

[tex]f(x) = x + 3[/tex]

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]

So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]

[tex]m = \frac{0 + 2}{-3 + 5}[/tex]

[tex]m = \frac{2}{2}[/tex]

[tex]m = 1[/tex]

The equation of the line can then be calculated using any of the given points;

Using

[tex]m = \frac{y - y_1}{x - x_1}[/tex]

[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]

We have

[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]

[tex]1 = \frac{y+2}{x+5}[/tex]

Multiply both sides by x + 5

[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]

[tex]x + 5 = y + 2[/tex]

Subtract 2 from both sides

[tex]x + 5 - 2 = y + 2 - 2[/tex]

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

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

Replace y with f(x)

[tex]f(x) = x + 3[/tex]

Hence, from the list of given options; Option B is correct

Answer: B. f(x) = x + 3

Step-by-step explanation:

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]12 + 2x = 16[/tex]

[tex]2x=16-12[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

-30(E+H=50)

-30E-30H=-1500

30E+60H=1950

(add the 2 equations)

0E+30H=450

H=15

(plug H into first equation)

E+15=50

E=35

Answer:

So to start, the first number in the set is usually on the x axis. The x axis is the line going to the right. You go two ticks on there. Next is the second number, so what you do is just go up 5 ticks from there andd there ya go, you graphed it!

Um, I'm not very good at explaining but I hope that makes sense haha. I don't really understand the point of marking brainliest, but if you want you can mark mine it

Taking 1 cm = 1 unit we draw the x-axis and y-axis and plot (2,5) at a distance of 2 from x-axis and distance  of 5 from y-axis.

A point has two inputs namely the x-coordinate and y-coordinate. The  x-coordinate and y-coordinate is the perpendicular distance from y axis and x axis respectively.

Given point is (2,5)

Plot x=2 at a perpendicular distance from y axis measured along positive x axis

plot y=5 at a perpendicular distance from x axis measured along positive y axis

and we get the required point.

The point (2,5)  is plotted in the graph attached with the answer.

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Answer:

D.

Step-by-step explanation:

They are parallel and therefore has the same slope.

Answer:

18 feet 3 inches

Step-by-step explanation:

4 feet 7 inches + 6 feet 11 inches + 6 feet 9 inches =

10 feet 18 inches + 6 feet 9 inches =

16 feet 27 inches =18 feet 3 inches

Answer: 9.25 Feet

Step-by-step explanation:

Step 1: Take all the feet add them together = 7Ft or 84 inches

Step 2: Now add all the inches together to = 27 inches

Step 3: Add 27 + 84 = 111

Step 4: Divide that by 12 cause 1 foot = 12 inches

Step 5: should equal 9.25 :)

Answer:

the horse walked 20 feet away i think

Step-by-step explanation:

i say this because it shows an arrow from a horse to the 20 square feet

Answer:

Step-by-step explanation:

it is a three quarter circle with radius=7.1 ft

reqd. area=3/4 πr²

=3/4×π×7.1²

≈3/4×3.14×7.1²

≈118.72 ft²

Answer:

percentage error = 12.28%

Step-by-step explanation:

5 x 0.14 = 0.7

5 x 1.14 = 5.7

as increase is not the same as error decrease.

We use the same numbers 12.28% = 0.1228.

5.7 x 0.1228 = 0.69996  = 12.28%

5.7 - 0.69996 = 5.00004 foot.  As decrease.

And find it is correct.

His error therefore was 12.28% out.

As we work the first numbers 5.7 and can only x by a number to see 5ft

We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot.  (5.00004) ft.

Answer:

14%

Step-by-step explanation:

percent error = (experimental measure - real measure)/(real measure) * 100%

percent error = (5.7 ft - 5 ft)/(5 ft) * 100%

percent error = (0.7 ft)/(5 ft) * 100%

percent error = 0.14 * 100%

percent error = 14%

Answer:

-22/3 =x

Step-by-step explanation:

(4x-4) /(x+4) = 10

Multiply each side by (x+4)

(4x-4) /(x+4) * (x+4) = 10 * (x+4)

(4x-4) = 10 * (x+4)

Distribute

4x-4 = 10x+40

Subtract 4x from each side

4x-4-4x = 10-4x+40

-4 = 6x+40

subtract 40 from each side

-4 -40 = 6x+40-40

-44 = 6x

Divide each side by 6

-44/6 = -6x/6

-22/3 =x

Answer:

x = -22/3

Step-by-step explanation:

4x - 4 / x + 4 = 10

=> 4x - 4 = 10(x + 4)

=> 4x - 4 = 10x + 40

=> 4x - 10x = 40 + 4

=> -6x = 44

=> x = -44/6

=> x = -22/3

Answer:

1. 88 degrees

2. x=8

Step-by-step explanation:

1.

In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:

x+125+120+95+120+172=720

x=88

2.

Since opposite sides of a parallelogram are equal:

2x=x+8

x=3x-16

Let's go with the first equation.

2x=x+8

Subtract x from both sides:

x=8

You can plug this into the second equation to ensure it works:

3(8)-16=8

24-16=8

8=8

Hope this helps!

Answer:

1. 88

2. 48

Step-by-step explanation:

1. The total of the inner angles of the hexagon is 720

95+120+120+172+125=632

720-632=88

2. 2x=x+8

x=8

If we put all the x's in place and add them, the result is: 48

Answer:

Options 3, 4, and 5 are all equivalent

The expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.

We have given that

-5/19

An expression is a sentence with a minimum of two numbers and at least one math operation.

1) 5/19

Option 1 is not correct.

2)-5/-19

Implies that 5/19.

Option 2 is also not correct.

3) -5/19

Option 3 is correct.

4) 5/-19=-5/19

This is the correct option.

5)-(5/19)=-5/19

This is also the correct option.

Therefore, the expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.

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Answer:

The digit goes to the right of the decimal point

Step-by-step explanation:

If you had [tex]\frac{1}{10}[/tex], you would convert that to 0.1, which is equivalent to the fraction form. The one goes on the right of the decimal point.

Answer:

Step-by-step explanation:

[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]

[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]

Answer:

A

Step-by-step explanation:

There is 2 of the same number on the Y

Answer:

Adult ticket = $8

Student ticket = $13

Step-by-step explanation:

Hi, to answer this we have to write a system of equations (sales equations)

6x + 12y =204 (first day)

5x +3y =79 (second day)

Where x is the price of each adult ticket and y is the price of each student ticket.

If we multiply the second equation by 4 , and subtract the first equation to the second equation:

20x +12y =316

-

6x + 12y =204

___________

14x = 112

Solving for x:

x =112/14  

x = 8  

Substituting x=8 on any equation:

5x +3y =79

5(8)+3y =79

40+3y =79

3y =79-40

3y = 39

y =39/3

y = 13

If Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

Percentage is simply number or ratio expressed as a fraction of 100.

It is expressed as;

Percentage = ( Part / Whole ) × 100%

Given that;

First we determine the total time.

T = tPUSHUPS + tSPRINT + t BENCHING

T = 2hrs + 1hr + 1.5hrs

T = 4.5hrs

Now, percentage of time spent sprinting P will be;

Percentage = ( Part / Whole ) × 100%

Percentage = ( tSPRINT / Total time ) × 100%

P = ( 1hr / 4.5hr ) × 100%

P = ( 0.2222 ) × 100%

P = 22.2%

Therefore, if Lt. Bartlett spent 2 hours doing push ups, 1 hour doing sprints, and 1.5 hours benching 400 lbs, the percentage of time he spent sprinting is 22.2%.

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Answer: surface area = 108.8 sq. cm

Step-by-step explanation:

A=πr(r+√h2+r2)

Answer:

108.8cm^2

Step-by-step explanation:

Surface Area

A = πr(r+ √h2+r2)

A= π3 * (3 +1/3)  √64 + 9  (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32

A= 108.7

Volume

V=πr2h/3

V= π9*8 = π72/3 = 226.28/3

V= 72.4cm^3

Additional

The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.

To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.

l2 = h2 + r2

l2 = 64 + 9

l = √(73)

l = 8.54 cm

And the total surface area of the cone is:

SA = πr2 + πrl

SA = π · r · (r + l)

SA = π · 3 · (3 + 8.54)

SA = π x 3 . 11.54

SA = 9.42477796077 x 11.54 = 108.76 cm2

SA = 108.8cm^2

Answer:

8 times a number plus 7

Step-by-step explanation:

Hello, please consider the following.

PART 2

Let's note [tex](x_i)_{1\leq i\leq 11}[/tex] the 11 numbers.

We can write the following

[tex]x_1^2+...+x_{11}^2=(x_1+1)^2+...+(x_{11}+1)^2\\\\=x_1^2+...+x_{11}^2+2(x_1+...+x_{11})+11\\\\\text{So } 2(x_1+...+x_{11})+11 = 0\\\\(x_1+2)^2+...+(x_{11}+2)^2=x_1^2+...+x_{11}^2+4(x_1+...+x_{11})+4*11\\\\\text{As we know that }2(x_1+...+x_{11})+11 = 0\\4(x_1+...+x_{11})+4*11=-11*2+4*11=22[/tex]

So the sum of squares changes by

[tex]\boxed{ \ 22 \ }[/tex]

PART 4

Let's say that we have n points at the beginning.

We will add n-1 points the first time, we will get n + n  - 1 = 2n -1 points.

And then, the second time we add 2n - 1 - 1 points and we get

2n - 1 +2n - 2 = 4n - 3.

Finally, we do it a last time, we add 4n - 3 - 1 points and we get 4n - 3 + 4n - 4 points = 8n - 7  and it must be 65.

So, 8n -7 = 65 <=> 8n = 65+7=72  <=> n = 72/8=9

[tex]\boxed{= \ 9}[/tex]

Thank you

Answer:

Look at the attachment

Answer:3,-7

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

9/3=3

12/3=4

so, the answer is 3/4

Option C

Answer:

Think of it as 9 / 3 = 3

                       12 / 3 =  4      

so it is 3/4. The ratio is equal because 3/3 = 1 so you are dividing by 1

Hope this helps                    

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)

m = [tex]\frac{20-9}{12-4}[/tex] = [tex]\frac{11}{8}[/tex] → C

Answer:csc(x

Step-by-step explanation:You welcome

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

Considering the given point of (0,0), to find the value of b:

The line is:

b)Slope of 2 through the point (0,−3)

Solving as above:

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

Answer:

C.

3 x 3 = 9

4 x 3 = 12

3/3 = 1 so it is equal

3/4 = 9/12

Step-by-step explanation:

Answer:

The bus will travel 20km within 15 minutes

Step-by-step explanation:

Answer: 20 km

Step-by-step explanation:

Distance = speed / time