To reach the roof , how far away from the building should he place the base of the ladder ?

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

Additional comment

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

General method:

Given numbers are 1.3 bar and 1.4 bar

Two rational numbers between them

= 1.3222... and 1.43333...

Mean Method:

Let X = 1.333... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.333...×10

⇛10X = 13.333... → → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 13.333...

X = 1.333...

(-)

____________

9X = 12.000...

____________

⇛9X = 12

⇛X = 12/9

⇛X = 4/3

and

Let X = 1.444... → → →eqn(i)

since the periodicity is 1 then multiply eqn(i) with 10

⇛10×X = 1.444...×10

⇛10X = 14.444...→ → →eqn(ii)

Subtract eqn(ii)-eqn(i)

10X = 14.444...

X = 1.444...

(-)

____________

9X = 13.000...

____________

⇛9X = 13

⇛X = 13/9

Now we have 12/9 and 13/9

The rational number between them by mean method (a+b)/2

⇛{(12/9)+(13/9)}/2

⇛(25/9)/2

⇛25/18

and Second rational number

⇛{(12/9)+(25/18)}/2

⇛{(24+25)/18}/2

⇛(49/18)/2

⇛49/36

Answer: The two rational numbers between them are 25/18 and 49/36.

also read similar questions: INSERT TWO RATIONAL NUMBERS BETWEEN 2 AND 3. How to find them?

https://brainly.com/question/85169?referrer

Answer:

[tex]52\frac{1}{4\\}[/tex] -  [tex]49\frac{4}{9}[/tex]  = [tex]\frac{101}{36}[/tex]

Step-by-step explanation:

First, we have to convert the mixed fractions to improper fractions

[tex]52\frac{1}{4\\}[/tex] = [tex]\frac{4 x 52 +1}{4}[/tex] = [tex]\frac{209}{4}[/tex]

[tex]49\frac{4}{9}[/tex] = [tex]\frac{9 x 49 + 4}{9}[/tex] = [tex]\frac{445}{9}[/tex]

[tex]\frac{209}{4}[/tex] - [tex]\frac{445}{9}[/tex] = [tex]\frac{1881}{36}[/tex] - [tex]\frac{1780}{36}[/tex] = [tex]\frac{101}{36}[/tex]

We cannot simplify [tex]\frac{101}{36}[/tex] so it is the final answer

Answer:

A the system has no solution

Step-by-step explanation:

Simplifying 2x + -5y = -8

Solving 2x + -5y = -8

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5y' to each side of the equation. 2x + -5y + 5y = -8 + 5y

Combine like terms: -5y + 5y = 0 2x + 0 = -8 + 5y 2x = -8 + 5y

Divide each side by '2'. x = -4 + 2.5y Simplifying x = -4 + 2.5y

Solution for 2x-5=12 equation:

2x - 5 = 12

2x = 12 + 5

2x = 17 (divide both sides by 2 to get x)

2x/2 = 17/2

x = 8.5

Answer:

should be 82%

Step-by-step explanation:

Hope this helps!

Answer:

82%

Step-by-step explanation:

percents are out of 100, so its just multiplied by two

Answer:

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum. The series 4+8+12+16+20+24 can be expressed as 6∑n=14n . The expression is read as the sum of 4n as n goes from 1 to 6 .

Answer:

B

Step-by-step explanation:

y = - x + 10 → (1)

y = 7x + 2 → (2)

Substitute y = 7x + 2 into (1)

7x + 2 = - x + 10 ( add x to both sides )

8x + 2 = 10 ( subtract 2 from both sides )

8x = 8 ( divide both sides by 8 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 7(1) + 2 = 7 + 2 = 9

solution is (1, 9 ) → B

Answer:

Step-by-step explanation:

Let w represent Felipe's walking speed in miles per hour. Then his total travel time is ...

  time = distance/speed

  3 = 3/w +3/(w+1.5) . . . . . total time is the sum of walking and jogging times

  1 = 1/w +1/(w +1.5) . . . . . divide by 3

  w(w +1.5) = (w+1.5) +w . . . . multiply by w(w+1.5)

  w^2 -0.5w -1.5 = 0 . . . . . . subtract 2w+1.5

  (w -1.5)(w +1) = 0 . . . . . . . factor

The values of w that make this equation true are w = 1.5 and w = -1. Only the value 1.5 makes any sense in this scenario. Felipe's jogging speed is then 1.5+1.5 = 3 mph.

Felipe walks at 1.5 mph and jogs at 3 mph.

Answer:

I need helpw with this is too

Step-by-step explanation:

Answer:

Step-by-step explanation:

Any relation with a non-zero initial value or y-intercept is non-proportional. Any relation that has a constant ratio between output and input is proportional.

  C has an initial value of 7

  E has a y-intercept of -3

  F has an initial value of 2.00

  H has an initial value of 5

All of these are non-proportional. The remainder are proportional.

The mark-up (percent increase) of the price of the shoe from the manufacturing company to the store is 100%.

Given the following data:

To determine the mark-up (percent increase) of the price of the shoe from the manufacturing company to the store:

First of all, we would determine the increase in price of this shoe:

[tex]Increase = selling\;price -cost\;price\\\\Increase = 150-75[/tex]

Increase = $75

For mark-up (percent increase):

[tex]Mark\;up = \frac{Increase}{Cost\;price} \times 100\\\\Mark\;up = \frac{75}{75} \times 100[/tex]

Mark-up = 100%

Read more on mark-up here: https://brainly.com/question/25790940

Using the z-distribution, we have that:

a)

The hypothesis test is:

The p-value is of 0.0668.

The critical value is [tex]z^{\ast} = -1.28[/tex]

b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

Item a:

At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:

[tex]H_0: \mu = 7.4[/tex]

At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:

[tex]H_1: \mu < 7.4[/tex]

We have the standard deviation for the population, hence, the z-distribution is used.

The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]

[tex]z = -1.5[/tex]

Using a z-distribution calculator, the p-value is of 0.0668.

Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].

Item b:

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.

You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918

Answer:

Transgenic Organism

My reasoning:

A transgenic organism is an organism which has been modified with genetic material from another species. The biggest use of transgenic organisms is for agriculture growth, the development of genetically modified crops.

They also research with transgenic mice. Mice can be modified with human DNA for the purpose of testing medical treatments and seeing how they might behave in a human.

Researchers are concerned though that interbreeding between transgenic and wild organisms could have unforeseen consequences and could reign havoc on our ecosystem.

~That's All Folks~

-Siascon

transgenic organisms is the answer

Answer:

an alternative hypothesis is an angle that is alternate to each other

hope this helps. leave a comment if you have a question.

Hello there!

[tex]( - 12x) ÷ ( - 2)[/tex]

This is an algebraic expression.We need to find the result of it.

[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]

This algebraic expression may be rewritten as:-

[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]

Cancel the minus (-) sign:-

[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]

Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-

[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]

[tex]\sf \longmapsto6x[/tex]

Option A

______________________________________

Henceforth the value of the algebraic expression is:

[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]

Option A is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

Step-by-step explanation:

please mark me as brainlest

Answer:

12

Step-by-step explanation:

Since RS = QS, we know 2x + 8 = 8x - 4

Subtract 2x from each side

8 = 6x - 4

Add 4 to each side

12 = 6x

Divide each side by 6

2 = x

SR is 2x + 8, so it is 2(2) + 8, so RS = 12

The length of the segment SR is 12.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees.

Since RS = QS, we know 2x + 8 = 8x - 4

Subtract 2x from each side

8 = 6x - 4

Add 4 to each side

12 = 6x

Divide each side by 6

2 = x

SR is 2x + 8, so it is 2(2) + 8, SR = 12

Hence, the segment SR is 12.

To know more about triangles follow

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Answer:

X = 8, Y = 8

Step-by-step explanation:

Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.

Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.

Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.

Answer:

= 24.5

Step-by-step explanation:

1 child ticket = 18.50 and they bought 3 so 18.50 x 3 = 55.5

55.5 + 2 adult tickets = 104.50

104.50 - 55.5 = 2 adult tickets

= 49 for 2 adult tickets

49/2 = 1 adult tickets

= 24.5

Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100 and it can be determined by using fraction or percentage.

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

Which best explains Alejandro's error?

Alejandro uses the steps below to convert 5/8 to a percent.

8 divided by 5 = 1.6.,

1.6 = 160 percent

The division was computed incorrectly.

The division was completed in the incorrect order. The decimal was moved to the right too many times.

The decimal was moved to the right instead of the left.

Alejandro uses the steps below to convert 5/8 to a percent.

To convert 5/8 into percentages following all the steps given below.

                   [tex]= \dfrac{5}{8} \\\\ = 0.625[/tex]

                    [tex]\rm = 0.625 \times 100\\\\= 62.5 \ percent[/tex]

Hence, Alejandro makes an error in the first steps he divides 8 by 5 which is incorrect he has to divide 5 by 8, and in the second step, he does not multiply the term by 100.

For more details about the Equation refer to the link given below.

https://brainly.com/question/18187260

Answer:

Just tell me the letter.

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

The first point is (-3,0) and the second point is (-1,-1). To find slope you do change in y over change in x. So (-1-0)/(-1--3) or -1/2 which is your slope.

[tex]A+B+C\\\\=(2x-y+3xy)+(x+2xy) +(3y+xy)\\\\=3x+2y+6xy[/tex]

The value of the expression A + B + C is equal to 3x - 2y + 4xy.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Are three expressions A = 2x - y + 3xy, B = x + 2xy and C = 3y + xy.

Now, A + B + C is equal to the sum of their values which is,

= (2x - y + 3xy) + (x + 2xy) + (3y + xy).

Now, we'll combine the like terms,

= 2x + x - y + 3y + 3xy + xy.

= 3x - 2y + 4xy.

So, The value of the expression A + B + C is equal to 3x - 2y + 4xy.

learn more about numerical expressions here :

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Answer:

Step-by-step explanation:

slope is 4    y is 3

Answer:

slope is 4 y = 3

Step-by-step explanation:

Plz mark as brainliest

Answer:

y = -3x+2

Step-by-step explanation:

See attachment.

Find the slope:

Rise = (-4 - 5) = -9

Run = (2 - (-1)) = 3

Slope(Rise/Run) = -3

Find the y-intercept:

y = mx + b

y = -3x + b

5 = -3*(-1)+b  [Use point (-1,5)

b = 2

====

y = -3x + 2

Answer:

B

Step-by-step explanation:

First of all we know b is a parrellogram, so it is b.

But also other reasons:

It can't be A because they are next to each other, in fact supplementary angles. It can't be C because it doesn't make any sense and same thing for E.

[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]

Answer:

b po sana po maka tulong

Step-by-step explanation:

pa brainliest po

D.

Explanation:

a landscape of farmland bisected by long straight roads"

divide into two parts.

hope I help you ☺️❤️

:) :>