1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alecsey [184]
3 years ago
10

Mary walks 4 miles north and then turns and walks 5 miles west. How far is she from her original starting point?

Mathematics
1 answer:
dusya [7]3 years ago
5 0
Answer:  6.403 miles; or, write as:  6.403 mi.  .
__________________________________________________
Explanation:
_________________________________________________





                                5
--------------------------------------------
`                             right angle   |_ |
   `          (right triangle )                 |
         `                                               |    4 
             `                                           |
                      `    
       "c"                        `                  \        
 (hypotenuse)                          Starting point
                     
__________________________________________________
Since we have a "right triangle, we solve for "c"; using the 
"Pythagorean theorem" ; 
_______________________________________________________
→  a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
__________________________________________________
Given : a = 4; b = 5 ; 
____________________________
Plug these known values into our equation:
________________________________________
 → 4² + 5² = c² ; 
____________________________
 → 16 + 25 = c² ;  ↔  c² = 16 + 25 ;
______________________________
 → c² = 41 ; 
_______________________________
 → Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative"; 
__________________________________
 → √(c²) = √(41) ; 
_____________________________
 → c =  √41 ; Use calculator;
________________________________
 → c =  6.40312423743 ; Round to:  

 → c = 6.403 miles; or, 6.403 mi. 
__________________________________________

 

You might be interested in
Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it
uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A  to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get  the rate working together

\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}

\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

3 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures in.
Zigmanuir [339]

Answer:

2in

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please hurry will give Brainliest answer please quick
Keith_Richards [23]
Y is the answer so thank me later
4 0
3 years ago
Read 2 more answers
The _______ of any statistical test represents the probability that the results were obtained by chance alone.
Levart [38]
ρ-Value, Probability Value, or <span>Observed Level of Significance
is the definition of </span><span>any statistical test represents the probability that the results were obtained by chance alone.</span>
6 0
3 years ago
Evaluate f (x) = 3 (2)x for x=-1
kap26 [50]

The value of the function at x = -1 is 5

<h3>What is  function?</h3>

Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.

From the information given, we have that;

f (x) = 3 (2)x  with  x=-1

Now, let's substitute the value of x as - 1 in the function given;

f (x) = 3 (2)x

f (x) = 3 (2) -1

Expand the bracket;

f (x) = 6 - 1

f(x) = 5

Thus, the value of the function at x = -1 is 5

Learn more about functions here:

brainly.com/question/6561461

#SPJ1

8 0
2 years ago
Other questions:
  • PLEASE HELP!
    13·1 answer
  • Solve the compound inequality.
    5·1 answer
  • 1st week of jan,there r 49 dogs and 28 cats in an animal shelter. Throughout the month,the ratio of dogs to cats remain the same
    10·1 answer
  • I NEED HELP BY 9 PLS! use partitioning... I think HELP! NOW!
    6·2 answers
  • Elena tiene 50 pilas de monedas
    9·1 answer
  • Line Segment xy was used to draw a copy of ABC.xy is 9.5 centimeters long. What is the length of AA’ + BB’ + CC’ ?
    8·2 answers
  • Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as
    10·1 answer
  • Please help me! <br> Will give brainlst :)
    9·2 answers
  • Starting with number 0 on my calculator, I do a calculation in five steps. At each step, I either add 1 or multiply by 2. What i
    9·1 answer
  • What is the area of this trapezoid?<br> Enter your answer in the box.<br> ___cm2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!