Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabajo ¿Que distancia recorrería por ese camino?

Answers

Answer 1

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

[tex]a^{2} + b^{2} = c^{2}[/tex]

donde a y b son el ancho y el alto del triangulo y el c seria x

[tex]8^{2} + 13^{2} = x^{2}[/tex]

[tex]64 + 169 = x^{2}[/tex]

[tex]233 = x^{2}[/tex]

[tex]15.26 = x[/tex]

Finalmente, podemos ver que la distancia seria 15.26km


Related Questions

A store is having a sale where school supplies are 20% off their original price. A backpack is on sale for $15.20. What was the original price of the backpack?

Answers

Answer:$ 19.00

Step-by-step explanation:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage.

You want to have $10,000 in your account after five years. Find the amount your initial deposit should be if the account pays 3.5% annual interest compounded monthly.

Answers

Answer:  8396.71

Step-by-step explanation:

if m1=2x° and m3=3x° what is m1

Answers

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

[tex]2x + 90 + 3x = 180[/tex]

[tex]5x + 90 = 180[/tex]

[tex]5x = 90[/tex]

[tex]x = 18[/tex]

Plug 18 into 2x

[tex]2(18) = 36[/tex]

A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.

Answers

Answer:

[tex]A' = (0,0)[/tex]

[tex]B'= (9,18)[/tex]

[tex]C'= (21,12)[/tex]

Step-by-step explanation:

Given

[tex]A= (0,0)[/tex]

[tex]B= (3,6)[/tex]

[tex]C= (7,4)[/tex]

[tex]k = 3[/tex] -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A *3[/tex]

[tex]A' = (0,0) *3[/tex]

[tex]A' = (0,0)[/tex]

[tex]B' = B * 3[/tex]

[tex]B'= (3,6)*3[/tex]

[tex]B'= (3*3,6*3)[/tex]

[tex]B'= (9,18)[/tex]

and

[tex]C' = C * 3[/tex]

[tex]C'= (7,4)*3[/tex]

[tex]C'= (7*3,4*3)[/tex]

[tex]C'= (21,12)[/tex]

Which equation represents the line that passes through the point (1, 5) and has a slope of -2?

Answers

Answer:

y=-2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-5=-2(x-1)

y=-2x+2+5

y=-2x+7

i dont get this pls help with steps asap!

Answers

Answer:

2.5

Step-by-step explanation:

it's the midpoint of XZ

2.5 is the correct answer

what is the diagonal of a solid square. the sides are 7. please help

Answers

Answer:

9.89949 units

Step-by-step explanation:

the diagonal of a 7 by 7 square is the same as the hypotenuse of a 7 by 7 triangle. using the pythagorean theorem, you can conclude that

7²+7²=c²

49+49=c²

98=c²

√98=c

c≈9.89949 units

is the expression a^12 x a^4 equivalent to a^8 x a^8

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Properties of indices.

Here, we have to prove that, if the above exponential equation are equal or not., let's prove it

1.)L.H.S

a^12*a^4 = a^m*a^n ===> a^(m+n)

hence, a^(12+4) ===> a^(16)

2.) R.H.S

===> a^8*a^8 = a^(8+8) ==> a^(16)

since here, LHS = RHS

so both are equal.

Help me with the area of the following triangle??? 25 POINTS question

Answers

-13/2x+1 is the answer which the area

How to find it simple:

Do 1/2*3x-4

then use that answer and multiple it with the height which is 2x+1 and you get the answer.

Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The point is on the line.

The coordinate values satisfy the equation:

  1/3x + y = 12

  1/3(3) + 11 = 12 . . . substitute for x and y

  1 + 11 = 12 . . . . . . . true

Any point that satisfies the equation is a solution. (3, 11) is a solution.

A rectangle measures 2 1/3 inches by 1 2/3 inches. What is its area?

Answers

Answer:

35/9 inches

Step-by-step explanation:

you can put this in a mixed fraction, its still correct:

3 8/9

The area of the rectangle is 35/9 square inches.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the area of a rectangle,

We multiply the length by the width.

Length = 2 1/3 = 7/3 inches

Width = 1 2/3 = 5/3 inches

Area = Length x Width

Area = (7/3) x (5/3)

Area = 35/9 square inches

Therefore,

The area of the rectangle is 35/9 square inches.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ3

What graph represents the equationy = 2x – 3?

Answers

Answer:

linear graph

Step-by-step explanation:

because the equation of the line is straight

Having trouble solving this:

Answers

The answer will be - 2/5

Answer:

1/250

Step-by-step explanation:

0.4% in fraction form is 0.004

or 4/1000

4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)

One pipe can fill a tank three times as fast as another pipe. If together the two pipes can fill the tank in 36 minutes, how many minutes would it take the slower pipe to fill the tank by itself? Your answer

Answers

Answer: 144 minutes

Step-by-step explanation:

Based on the information that has been given in the question, the minutes that the slower pipe alone can use in filling the tank can be denoted by y minutes.

Therefore, the faster pipe will fill it in 1/3 × x = x/3 minutes.

Therefore,

1/x + 3/x = 1/36

4/x = 1/36

x = 36 × 4

x = 144

The number of minutes taken by the slower pipe will be 144 minutes.

Solve for θ. Please help me!!

Answers

We're given the hypotenuse and the opposite side so that means that we're gonna be using the inverse of sine to find the angle.

[tex] {sin}^{ - 1} = \frac{opp}{hyp} = \frac{6}{12} [/tex]

[tex] = 30 \: degrees[/tex]

2.8 -3x =12.1 −6x what's x

Answers

X= 3.1 is the answer
The answer is X=3.1!

make the most childish answer possible and ill give you brainliest

Answers

Answer:

yo mama

Step-by-step explanation:

Answer and Step-by-step explanation:

         

Find [x]:  <--------------- (Childish Answer)

                                |

                                |

4 + y = 3x - 5            |

                                |

                                |

----------------------------^

^---------------

I found x!! ^

#teamtrees #WAP (Water And Plant)

give all relationships between angle 1 and angle 2 select all that apply​

Answers

Answer:

vertical maybe if try it and see

Need help in rush...someone pls help me! And pls show work

Answers

Answer:

7.2 or 7.20 my work is explained below!

first divide $3.00 by 5. our answer would be .6 (check: .6x5=3)

so now we know .6 is the cost of 1 ticket. so next, we would multiply .6 by 12 to get our answer. our answer would be 7.2 or 7.20.

I hope this helped, have a good day / night! :)

Answer:

[tex]\frac{5}{3}=1.66666666667 \\1.66666666667 * 6 = 10\\10 * 2 = 20[/tex]

Step-by-step explanation:

Transform to slope-intercept form. 1+2y=6x-3

Answers

Hello the slope intercept form is y=3x-2

Answer: Y=3X-2

Step-by-step explanation:

First you are gonna need to combine all like factors.

1+2y=6x-3 (subtract 1 from both sides)

2y=6x-4

Then you need to get the y by itself.

2y=6x-4 (divide all terms by 2)

y=3x-2

now you are in slope intercept form (y=mx+b)

Radius is 8 ft. whats the answer

Answers

Answer:

Area = 64pi, Circumfrence=2pi(8)

Step-by-step explanation:

Answer:

Depends. Down below.

Step-by-step explanation:

It depends.

Area of the circle = [tex]\pi[/tex] x [tex]8^{2}[/tex] ≈ 201.06 ft

Circumference of the circle = 2 x [tex]\pi[/tex] x 8 ≈ 50.27 ft

Your garden has 9 pots that use 2 1/3 bag of soil. How much soil does each pot hold? ​

Answers

Answer:

2 6/7

Step-by-step explanation:

i divided

Help asap!
a baker Has 88 muffins he fills large boxes that hold 9 muffins each then he puts the leftover muffins in a small box how many muffins are in the small box

Answers

Answer:

7

Step-by-step explanation:

9*9=81

81+7=88

Answer:

7

Step-by-step explanation:

88 / 9 = ?

9 x 9 = 81

88 - 81 = 7

7/9

88 / 9 = 9 7/9

9 is in the large box

7 in the small box

solve this system of equations by using the elimination method.

2x-3y=25
5x+3y=10

Answers

Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.

2x-3y=251️⃣

5x+3y=102️⃣

Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:

1️⃣+2️⃣

2x-3y+5x+3y=25+10

7x=35

x=5

Then we can substitute the value of x back into either of the 2 equations.

2*5-3y=25

10-3y=25

3y=-15

y=-5

Then write the 2 answers together.

{x=5

{

{y=-5

Now we can check our answers.

2*5-3*-5=10- -15= 10+15=25 Correct

5*5+3*-5= 25+ -15= 10 Correct

From this we can see that x=5 y=  - 5 are the correct answers!

find the missing measure

Answers

Answer:

Step-by-step explanation:

can someone please help me??

Answers

Answer:

There is only one solution and it is the point of intersection

Step-by-step explanation:

Elena is ordering dried chili peppers and corn husks for her cooking class. Chili peppers cost $16.95 per pound and corn husks cost $6.49 per pound.

Elena spends less than $50 on d pounds of dried chili peppers and h pounds of corn husks.

Can Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50? Explain your reasoning.

Answers

Yes she can. If she buy 1.5 pounds of dried chili peppers and 3 pounds of corn husks they will cost $45 so yes she will spend less than $50

Yes, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.

What is the reference as the equation?In its most basic form, an equation is an assertion that demonstrates that two formulas are equal. 63x + 5 = 14, for example, is an equation wherein 63x + 5 and 14 are two representations separated by a 'equal' sign.

For the given question;

Let the pounds of dried chili peppers be 'd'.Let pounds of corn husks be 'h'.Chili peppers cost $16.95 per pound Corn husks cost $6.49 per pound.

The equation becomes;

16.95 d + 6.49 h

16.95 (1.5) + 6.49 (3)

  25.425 + 19.47

        44.895 < $50

Thus, Elena purchase 1.5 pounds of dried chili peppers and 3 pounds of corn husks and spend less than $50.

To know more about the equation, here

https://brainly.com/question/2972832

#SPJ2

plzz hellpldppdopbdjdj​

Answers

Answer:

78 squared feet

Step-by-step explanation:

area= base x height

so 6 x 13 = 78

and yeah

HOPE I HELPED:))

your answer is 91 square feet

What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*

Answers

Answer:

3

Step-by-step explanation:

Which point is the intersection of RS and VT?

Answers

Answer:

point U

Step-by-step explanation:

I learned this before

Hope this helps

Other Questions
identify the places/provinces in MIMAROPA using their meaning or description. write a short explanation why they are known for that name.the marble country-_the country's last frontier-_the heart of the Philippine island-_the rice granary and fruit basket of the southern Tagalog-_ Put "Evolution of Populations" in a sentence What does the pronoun it refer to inthe sentence: Once you find a bookin the catalogue, how do you ind itin the Mbrary?A)the librarythe catalogueBa bookyou Is the Great Green Wall an example of Secondary Succession? 8/15-1/5For points or brainliest I NEED THIS RN AS FAST AS POSSIBLE! Your teacher decides to split the class into four equal groups with no more than five students in each group. that represents the number of students in the class. Angela can paint 3 sections in 25 minutes.How many minutes will it take Angela topaint 12 sections? an essay on diseases of the present is different from diseases of the past A: 5x+3xy +2y B: 2y-xy +4x: 12xy+4x-3y. then :- 1) -- , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest which statement best explains why chlorine is added to drinking water? A. Chlorine cures infections caused by bacteria or other microorganisms B. Chlorine protects people teeth against cavities C. Chlorine prepares the body to fight future infections D. Chlorine kills most pathogens in water The greater the mass of an object. If using the method of completing the square to solve the quadratic equationx2 + 7x 27 = 0, which number would have to be added to "complete thesquare"? Name 5 activities you could do on a snow day! Use Who, What, When, Where, Why in your answers!! Fionn observed that 91\%91%91, percent of the background checks he processes are for potential employees who have already interviewed. Let BBB be the number of background checks Fionn processes to get his first background check for a potential employee who has not yet interviewed for the job. Assume that the interview statuses are independent. Find the probability that the 8^{\text{th}}8 th 8, start superscript, start text, t, h, end text, end superscript background check that Fionn processes is the first for which the potential employee has not yet interviewed. What does a regulated militia mean What properties do atoms of the same element share? Select all that applyatomic numberchemical reactivitymelting point Round 0.9271 to the nearest whole number. When you have a job, what will be the first expensive item youll be saving for? How much do you think youll need to save for it? Write a 7 sentence response. please tell fast plzzzzzz As a cell grows in size, transporting the materials in and out of the cell becomes more difficult. Which process would help a cell to efficiently transport more materials into the cell as it grows?Grupo de escolhas da perguntaA) The cell develops a thinner cell membrane.B) The cell undergoes a mutation.C) The cell stores more materials in its vacuoles.D) The cell divides into two cells creating more space for materials.ASAP