A man takes a walk 6 miles south and 9 miles east from his house. What is the shortest distance he must walk to return to his house?

Answers

Answer 1

Instead of taking  6 miles south and 9 miles east to the house the shortest distance is 10.82 miles

How to find the shortest distance

The distance described  6 miles south and 9 miles east represents a right triangle with

opposite = 6 miles

adjacent = 9 miles

hypotenuse is the shortest distance

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

let x be the required distance

x² = 9² + 6²

x² = 81 + 36

x² =  117

x = √117

x = 10.82

the shortest distance is 10.82 miles

Learn more on Pythagoras theorem here:

https://brainly.com/question/29363020

#SPJ1


Related Questions

What is 7+y(3+y) when y=5

Answers

Answer:

47

Step-by-step explanation:

Sub in 5 for y:

7+5(3+5)

7+5(8)

7+40

47

Answer:

96

Step-by-step explanation:

3 + 5 = 8

7 + 5 = 12

So, 12(8) is the same as 12 x 8.

12 x 8 = 96

A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?

Answers

Answer:

Step-by-step explanation:

There are three times as many orange cats as black and white cats,

o = 3(b + w)

two times as many black and white cats as grey cats,

b + w = 2g

three fewer gray cats than white cats,

g = w - 3

three times as many white cats as calico cats,

w = 3L

and five white cats

w = 5

There is a problem with this.

There are 5 white cats.

There are 3 times as many white cats as calico cats.

That means there are 5/3 calico cats.

How can the number of a certain type f cats be a non-whole number?

It seems that the number of white cats must be a multiple of 3, but 5 is not.

Answer:

hi

Step-by-step explanation:

Please please PLEASE Help me!7th grade math, I will give brainliest to the correct answer!

Answers

CCcCcCcCcCcCc Cc c C c c c. C c c c

Answer:

c

Step-by-step explanation:

What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for pi.

Answers

Answer:

28.27433

Step-by-step explanation:

c = 2π * r

Can anybody help me please? it’s a major and i’m very confused.

Answers

Variable sorry if I am late

how many 1/5 of a liter can 1 1/2 bottle of water

Answers

Answer:

7 1/2

Step-by-step explanation:

3/2 divided by 1/5 = 3/2 * 5/1 = 15/2 = 7.5

Answer:

7 1/2 glasses can Lin fill.

Step-by-step explanation:

To know how many glasses can Lin fill with a 1 1/2 lite bottle of water, we have to divide:

According to this result, Lin can fill 7 glasses and one half, that's what means 7.5.

(hope this helps can i plz have brainlist :D hehe)

Find the coordinates of a point that is on the line y=2x+4

Answers

Answer:

can it be any coordinates? if so (0,4) (1,6) (2,8) and (3,10) are a couple of coordinates that would be on that line

Step-by-step explanation:

I need help with 4,5,6

Answers

Answer:

4. 3. 10

5. 1102.31

6. 17.37

Step-by-step explanation:

Which equation shows the same relationship as 4 = 1/5 x 20

choose 1 answer:
A. 4 ÷ 20 = 1/5
B. 20 = 1/5 ÷ 4
C. 20 x 4 = 1/5

Answers

Answer:

C. 20 x 4 = 1/5Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

4/20=.02 so its not A

1/5 divided by 4 is .05

So that leaves C

I hope this helps :)

 

(05.06 LC) A person drives her own personal vehicle to work two days of the week. Her commute to and from work is 42 miles a day, and her car averages 28 miles per gallon? How much gasoline is the person conserving a day if she takes the train instead? Group of answer choices 1.5 gallons per day 3.0 gallons per day 4.5 gallons per day 5.5 gallons per day

Answers

Answer:

1.5 gallon per day

Step-by-step explanation:

As given,

Daily miles = 42

Average gasoline used = 28 mil/gallon

Daily use of gasoline = [tex]\frac{Daily mile}{Average gasoline}[/tex]

                                   = [tex]\frac{42}{28}[/tex] = 1.5 gallon /day

∴ we get

she conserve gasoline a day = 1.5 gallon per day

A 40% discount is the same as paying

Answers

A 40% discount would be the same as paying 60% of the original price. Hope this helps

Answer:

60%

Step-by-step explanation:

If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!

Answers

Answer:

This is a sequence of geometric and for 5 it will be 4.74

Step-by-step explanation:

36,24,16,7.11, and 4.74

Just divided by 1.5 and you will see

Hope this Helped



108
Explanation:
In any geometric series, we need two pieces of information to find its sum to the
n
-th term, and thus the sum to infinity.
Firstly, we need the first term,
a
. This is obviously
36
in this expression.
Secondly, we need the common ratio,
r
,. We find this by taking 24/36 =2/3
Thus a =36 and r =2/3 . also note that
(R) =2/3 <1

We then apply the formula for sum of geometric series to the
n -th term when (r) <1 : Sn =a(1 -rn ) / 1-r = 36 ( 1 - (2/3 ) n) / 1 -(2/3)
=108 (1 -(2/3) n)
The sum to infinity s ♾ is defined to be the limit of sn as n - ♾
N- ♾,(2/3) n -0.sn -108 -0 =108
S ♾ =108

Please help me with this for brainliest im soo confused

Answers

It would be 7 units apart

Serena paid $194.99 for a game system and then bought two equally price games. If she spent a total of $284.97, what is the price, P, of one game? Right and solve an equation

Answers

Answer:

44.99

Step-by-step explanation:

284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.

Need asap- will give brainliest-real answers only or you will be reported

Answers

Answer: The answer is D.

Step-by-step explanation: In this case, you have to find the LCM. The LCM is 72 because both 24 and 36 are factors of 72, and that is the first product that both 24 and 36 are factors. Brainliest plz

Answer:

I'm so sorry I'm not exactly how to figure this out but I think it would be 96 seconds. If I'm wrong please let me know

Step-by-step explanation:

Find x and y. please help​

Answers

Answer:

option c is the correct one according to me......

help please you don’t have to though

Answers

The answer is 31 because 31 is the number that closed to 32
THE ANSWER IS 32 OKjxhdhd

Since a middle school​ opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.

Answers

Answer: 1:13 or for every 10 games they will lose one game

Step-by-step explanation:

PLEASE HELP WILL GIVE BRAINLY! Given the function:
f(x)=
{6x+5x<0
[6x+10x≥0


Calculate the following values:
f(−1)=


f(0)=


f(2)

Answers

PLEASE HELP WILL GIVE BRAINLY! Given the function:
f(x)=
{6x+5x<0
[6x+10x≥0


Calculate the following values:
f(−1)=


f(0)=


f(2)

Answers

6x + 5x < 0
f(-1) -x<2/11
f(0) false
f(2) false

6x + 10x _>
f(-1) x _>1/8
f(0) True
f(2) True

calculate the area of trapezium

Answers

170cm^2

12 + 22 = 34
34/2 = 17
17 x 10 = 170


Expand (5x – 3y + 2) using identity.​

Answers

Answer:

[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]

Step-by-step explanation:

We need to expand (5x – 3y + 2)² using identity.

Using identity,

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]

We have, a = 5x, b = -3y and c = 2

So,

[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]

So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].

PLS HELP. In the triangle ABC, BP is the medium from the vertex B. If AC= 25 units and CR= 4.5 units, find PR. PLS HELP

Answers

9514 1404 393

Answer:

  PR = 8

Step-by-step explanation:

The median bisects the side opposite the vertex, so ...

  P is the midpoint of AC

Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:

  PR + RC + PC

  PR + 4.5 = 12.5 . . . . . fill in the known values

  PR = 8 . . . . . . . . . . . . .subtract 4.5

I need help plz ASAP

Answers

Answer:

2nd one down

Step-by-step explanation:

Answer:

Step-by-step explanation:

An equation is given.

y = 3x + c

Create an equivalent equation by solving for x in terms of y and c.



x = ______________

Answers

x=1/3y-1/3c. hope this helps :)

Indigo measures a 2-ounce sample for an experiment. How many grams are in 2 ounces? (1 oz = 28.35 g)
0.07 g

0.90 g

4.40 g

56.70 g

Answers

Answer:

56.70 grams

Step-by-step explanation:

Multiply: 28.35*2=56.70

(Picture included)

Sorry about my handwriting!

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

250 gramı 3.75 TL olan peynirin 1 kilogramı kaç liradır?​

Answers

Answer:

3.75•4=15 TL dir .......

what is the solution to the system of equations?

Answers

The correct answer is b

Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 63 text messages from Yolanda. Which equation can be used to find how many text messages Quiana has from Pierre, p? A. 63p = 7 B. 7p = 63 C. 63 + p = 7 D. 7 + p = 63

Answers

im fairly sure its C

A student scored 80 and 93 on her first two quizzes. Write and solve a compound inequality to find the
possible values for a third quiz score that would give her an average between 85 and 90, inclusive.

Answers

Answer:

I think it would be 87.5 as an average between 85 and 90.

Step-by-step explanation:

if its possible, whats -12/3 simplifies

Answers

Answer:

-4

Step-by-step explanation:

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