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
Elina [12.6K]
3 years ago
10

The area of trapezoid TRAP is 100 m squared

Mathematics
1 answer:
Anastasy [175]3 years ago
6 0
Answer:  30 m ; (or, write as: "30 meters") .
______________________________________________
Explanation:
____________________

Area of a trapezoid, "A" = (1/2) ( b₁ + b₂) h ;
______________________________________________
or, write as:  A = ( b₁ + b₂) h  / 2 ;
___________________________________
in which:  A = area;
              b₁ = length of "base 1" (choose either one of the 2 (two bases);
              b₂ = length of "base 2" (use the base that is remaining);
              h = height of trapezoid;
____________________________________________
From the information given: 
___________________________
A = 100 m² ; 
h = 5 m
b₁ = 10 m
b₂ =  x 
___________________________
Find "x", which is:  "b₂" ;
__________________________
      A = ( b₁ + b₂) h  / 2  ;
_____________________________
Plug in our known values; and plug in "x" for "b₂" ; and solve for "x" ;
_________________________________________________________
  100 m² = [(10m + x) (5m)] / 2  ; Solve for "x" ;
_________________________________________________________
          (10m + x) (5m) = (2)* (100m²) ;
_________________________________________________________
             (5m) (10m + x) = 200 m² ;
___________________________________________
Note:  The distributive property of multiplication:
____________________________________________
    a(b+c) = ab + ac ;
 
    a(b−c) = ab <span>− ac ;
</span>____________________________________________

  We have:  (5m) (10m + x) = 200 m²  ;
____________________________________________
So:    (5m) (10m + x) =  (5m*10m) + (5m * x) ;
                           
                               =  50m² + (5m)x  ;
_______________________________________________
     →  50m² + (5m)x = 200m²  ; 
_______________________________________________
Divide the ENTIRE equation by "5m" ;
_______________________________________________
     → { 50m² + (5m)x } / 5m = (200m² / 5m) ;
_______________________________________________
     →  10m + x   = 40m ; 
________________________________________________
Now, subtract "10m" from EACH side of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
_______________________________________
     →  10m + x  − 10m  =  40m − 10m ;

to get:

                →    x  =  30 m  ; which is our answer.
___________________________________________________
Answer:  30 m ; (or, write as: "30 meters") .
_____________________________________________________
You might be interested in
Jay Spring pays $350.00 annually for his health insurance. This is 1/3 of the total cost of the premium; his company pays the re
WINSTONCH [101]

Q: How much did Jay have to pay excluding his share of the insurance premium?

A: $1800+$200 = $2000

Q: How much did Jay's company pay for his insurance premium?

A: $700. If Jay's $350 is 1/3 of the premium , then Jay's company pays 2*$350=$700 as rest of his premium.

Q: Jay paid 10% and the plan paid 90% beyond the deductible. How much did Jay's insurance company pay total?

A: Jay's insurance company paid $16200. Given that Jay paid $1800 beyond his deductible of $200 (and that is 10% of the actual cost) means that his plan (insurance company) paid 90%=9*$1800=$16200.

Q: How much did Jay have to pay total, including his share of the premium?

A: Jay paid $2350. He paid $200 deductible + $1800 beyond deductible + $350 premium



8 0
3 years ago
Read 2 more answers
Selectie correct answer.
denis-greek [22]

Answer:

OD.0

Step-by-step explanation:

because 2(X+4)-1 = 2x+7

or, 2x+8-1 = 2x+7

or, 2x+7= 2x+7

and it cancels out eachother so it will be 0

4 0
3 years ago
Which equation has a solution of -10? -28+32+x=-40 -28x+32x=-40 -28−32+x=6 -28x+23x=2
Leno4ka [110]
I think it is the 3rd one but I might be wrong...
8 0
3 years ago
Read 2 more answers
Help ASAp will give brainliest!!!!!!!
anzhelika [568]

Answer:

x = 51

Step-by-step explanation:

2x + 4 + x + 23 = 180

3x + 27 = 180

3x = 153

x = 51

8 0
3 years ago
Read 2 more answers
Pearl lives in Atlanta but spent 1⁄6 of the year in New York and 4⁄9 of the year in Los Angeles. What fraction of the year did s
solong [7]
She spent 5/6th of nights away from atlanta
6 0
3 years ago
Other questions:
  • Can someone do the whole thing
    7·1 answer
  • You are at the bottom of a mountain where the temperature is 74°F. The top of the mountain is 5500 feet above you. What is the t
    10·1 answer
  • PLEASE PLEASE HELP!!!!. A fish tank, in the shape of a rectangular prism with dimensions 51 centimeters by 39 centimeters by 28
    15·2 answers
  • 1. What's one way we can check our answer to 2 x10 = 20?
    5·1 answer
  • Relative humidity (%)= actual moisture content ___________________ x 100 saturation moisture content if the actual moisture cont
    15·1 answer
  • If 14 out of 24 students in a college class are men,then,to the nearest tenth of a percent,what percent of the classics composed
    6·2 answers
  • PLEASE ANSWERRRRRRRRRRRR
    7·2 answers
  • What expression can be used for estimating 868 divided by 28?<br> Pls help me<br> Thanks
    5·1 answer
  • PLEASE HELP!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • In ΔOPQ, the measure of ∠Q=90°, the measure of ∠P=25°, and OP = 5.6 feet. Find the length of PQ to the nearest tenth of a foot.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!