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
Valentin [98]
3 years ago
6

What’s the missing length??

Mathematics
1 answer:
VashaNatasha [74]3 years ago
3 0

Answer: Side p = 33.9 mi

Step-by-step explanation: The figure in the question is a trapezoid with the area already given as 792.965.

The unknown side p is one of the two bases (parallel lines) in the trapezoid. The area of a trapezoid is given as

Area of trapezoid = {(a + b)/2} x H

Where H is the vertical height and a and b are the parallel lines

The area of the trapezoid can now be properly expressed as

792.965 = {(15.2 + p)/2} x 32.3

By cross multiplication we now have

792.965/32.3 = (15.2 + p)/2

(792.965/32.3) x 2 = 15.2 + p

49.1 = 15.2 + p

Subtract 15.2 from both sides of the equation

33.9 = p

Therefore the missing length (side p) equals 33.9 mi

You might be interested in
Complete the derivation of the formula for a cylinder
viva [34]

Answer:

2r(2r)

R

Pi/4

Pi times r cubed

Step-by-step explanation:

Believe it or leave it

4 0
3 years ago
The sum of two numbers is 47 and the difference is 25 . what are the numbers?
taurus [48]
The numbers are:  36 and 11 .
______________________________________________
Explanation:
______________________________________________
Let us represent the TWO (2) numbers with the variables;
         "x" and "y" .
__________________________________________
     x + y = 47 .

     y − x = 25.
__________________________________________
Since:  " y − x = 25 " ;

Solve for "y" in terms of "x" ;

  y − x = 25  ;

Add "x" to each side of the equation:
_____________________________________________
   y − x + x  = 25 + x  ;

to get:

   y = 25 + x .

Now, since:

  x + y = 47 ;

Plug in "(25 + x)" as a substitution for "y"; to solve for "x" :

x + (25 + x) = 47  ;

x + 25 + x + 47 ;

2x + 25 = 47 ;

Subtract "25" from each side of the equation:

2x + 25 − 25 = 47 − 25 ;

2x  = 22  ;

Divide EACH SIDE of the equation by "2" ;
 to isolate "x" on one side of the equation; and to solve for "x" ; 
 
2x / 2 = 22 / 2 ;

    x = 11 ;
______________________________________________
x + y = 47<span> ;

</span>Plug in "11" for "x" into the equation ; to solve for "y" ;

11 + y = 47 ;

Subtract "11" from EACH SIDE of the equation;
  to isolate "y" on one side of the equation; and to solve for "y" ;

 11 + y − 11 =  47 − 11  ;

            y = 36 .
___________________________________________
So:  x = 11 , y = 36 ;
___________________________________________
 Let us check our work:

y − x = 25 ;

36 − 11 =? 25 ?  Yes!

x + y = 47 ;

36 + 11 =? 47 ? Yes!
______________________________________________
The numbers are:  36 and 11 .
______________________________________________
5 0
3 years ago
-1/2 -8/15 which on is bigger
liraira [26]
-1/2 is bigger than -8/15
8 0
3 years ago
Read 2 more answers
"In the figure, what is m<br> A) 15<br> B) 35<br> C) 50<br> D) 65"
laila [671]
B) 35
the formula is .5(outer angle - inner angle) = .5(100-30)=.5*70=35
7 0
3 years ago
Read 2 more answers
Which of the following is a description of the data with a correlation coefficient of -0.3?
STALIN [3.7K]
The number is near zero, so it is classified as "low." Its sign is negative, so it is a ...
   -low negative correlation
6 0
3 years ago
Read 2 more answers
Other questions:
  • 3X3X11<br> Write the number whose prime factorization is given
    7·2 answers
  • Ami saved $14.25 on a new scarf she purchased from macy's. she paid at most $25. What is x, the original cost of the scarf befor
    8·1 answer
  • If Mr. arenth wants to put new carpeting in the room shown, how many square feet should he order L= 14ft. W = 6c-8ft. L= 5+3c ft
    10·2 answers
  • The weekly salaries (in dollars) for employees of a small business are given below. (Note that these are already ordered from le
    9·2 answers
  • Negative 50 over negative 5 integers
    6·1 answer
  • What patter do you see in the coordinatinates​
    6·1 answer
  • Write the algebraic expression for “twice a number n decreased by seven”
    14·1 answer
  • 2<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%2048-3%20%5Csqrt%7Bx%7D%2012%2B3%5C%5C%2027" id="TexFormula1" title="\sqrt{x}
    15·1 answer
  • H(1)=-35<br><br>h(n)=h(n-1)*2<br><br>h(3)=
    13·1 answer
  • Find the area of the trapezoid.<br> 95 cm<br> 133 cm
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!