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Alexandra [31]
3 years ago
13

Taylor Swift wants to find the distance, AB, across a river. She starts at point B and walks along the edge of the river 94 ft a

nd marks point C. Then she walks 76 ft further and marks point D. She turns 90° and walks until her final location and marks point E. Point E, point A, and point C are collinear.

Mathematics
1 answer:
ad-work [718]3 years ago
8 0

Answer:

A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.

B) 158.3ft

Step-by-step explanation:

A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.

B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)

I truly hope this helps! :)

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Mary walks 4 miles north and then turns and walks 5 miles west. How far is she from her original starting point?
dusya [7]
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. 
__________________________________________

 

5 0
3 years ago
Maria and Josie went to the movies and spent $3.75 altogether on snacks. Let t = the price of a movie ticket. Write an expressio
nydimaria [60]
From the question we know that Maria and Josie went to the movies and spent a total amount of money, which should be the price of the tickets added to the price of the snacks.

Knowing that the price of the snacks is $3.75 and the price of the tickets is t, it looks like all that is left is to assign a variable to the total amount of maney they spent at the movies and write out the equation.

If we let the total amount of money they spent be x, then x= t+3.75, whcih should be your answer!
6 0
3 years ago
Some wanna look at this and help me ?​
Vika [28.1K]
21x+1+14x+4=180
35x+5=180
35x=175
X=5
21(5)+1
105+1
Answer
4 0
3 years ago
F (x) = √2X-6<br> What is f(5)?
inessss [21]

Answer:

f(5) = 2

Step-by-step explanation:

<u>Given: </u>

  • Function f(x) = \sqrt{2x - 6}

<u>For x=5 :</u>

  • f(5) = \sqrt{2*5 - 6} = \sqrt{4} = 2
7 0
3 years ago
Please help its hard btw
Rudiy27

Answer:

4213

Step-by-step explanation:

go to the numbers that pop out and do it backwards.

7 0
3 years ago
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