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
liq [111]
3 years ago
6

The area of a rectangular wall of a barn is 90 square feet. It’s length is 8 feet longer than twice it’s width. Find the length

and width of the wall of the barn
Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer: The answer is that the length is square ft, and the width is  .

Step-by-step explanation:

You might be interested in
If <img src="https://tex.z-dn.net/?f=%20300cm%5E%7B2%7D%20" id="TexFormula1" title=" 300cm^{2} " alt=" 300cm^{2} " align="absmid
Artist 52 [7]
Check the picture below.  Recall, is an open-top box, so, the top is not part of the surface area, of the 300 cm².  Also, recall, the base is a square, thus, length = width = x.

\bf \textit{volume of a rectangular prism}\\\\&#10;V=lwh\quad &#10;\begin{cases}&#10;l = length\\&#10;w=width\\&#10;h=height\\&#10;-----\\&#10;w=l=x&#10;\end{cases}\implies V=xxh\implies \boxed{V=x^2h}\\\\&#10;-------------------------------\\\\&#10;\textit{surface area}\\\\&#10;S=4xh+x^2\implies 300=4xh+x^2\implies \cfrac{300-x^2}{4x}=h&#10;\\\\\\&#10;\boxed{\cfrac{75}{x}-\cfrac{x}{4}=h}\\\\&#10;-------------------------------\\\\&#10;V=x^2\left( \cfrac{75}{x}-\cfrac{x}{4} \right)\implies V(x)=75x-\cfrac{1}{4}x^3

so.. that'd be the V(x) for such box, now, where is the maximum point at?

\bf V(x)=75x-\cfrac{1}{4}x^3\implies \cfrac{dV}{dx}=75-\cfrac{3}{4}x^2\implies 0=75-\cfrac{3}{4}x^2&#10;\\\\\\&#10;\cfrac{3}{4}x^2=75\implies 3x^2=300\implies x^2=\cfrac{300}{3}\implies x^2=100&#10;\\\\\\&#10;x=\pm10\impliedby \textit{is a length unit, so we can dismiss -10}\qquad \boxed{x=10}

now, let's check if it's a maximum point at 10, by doing a first-derivative test on it.  Check the second picture below.

so, the volume will then be at   \bf V(10)=75(10)-\cfrac{1}{4}(10)^3\implies V(10)=500 \ cm^3

6 0
3 years ago
3x+4y= 12 and 2x-y=8
Anettt [7]

i dont no sorry :(

..................

4 0
3 years ago
The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the
taurus [48]
Product of two consecutive integer so this mean that x and y but y = x+1 than

x(x+1)=1332

x^2 +x -1332 =0  so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie 

x^2 +x -1332 = 0

(x+37)(x-36)=0

x+37=0

x=-37 so the larger integer result that will be 37 
9 0
3 years ago
Read 2 more answers
if grant drove his car for 417 miles on 15 gallons of gas. how many miles per gallon does grants car get?
lara [203]

Answer:

27.8 per mile.

Step-by-step explanation:

417 divided by 15 equals 27.8 miles per gallon

miles/ gallon

/ = per

so

417/ 15

27.8 gallons

3 0
2 years ago
Read 2 more answers
What is the slope intercept form of the equation 16y= -4x?
AlexFokin [52]

Answer:

y = -1/4x

Step-by-step explanation:

16y = -4x

y = -1/4x

3 0
3 years ago
Read 2 more answers
Other questions:
  • (8 -2i)^2 <br>a:60 <br>b:68-32i <br>c:60-32i <br>d:64-32i+4i^2
    13·1 answer
  • Can you simplify a chain of if then statements? if so what do we call it?
    15·1 answer
  • You are a nascar fan that collects cars that are 1:64 scale to the original car. if your collection has cars that ar 3 inches in
    13·2 answers
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B5%20-%20%20%5Csqrt%7B3%7D%20%7D%20" id="TexFormula1" title=" \frac{7}{5 -
    11·1 answer
  • If 4 is added to both numerator and denominator of 5/8, by how much is the fraction changed?
    9·1 answer
  • 9x-3y=12. Solve for why
    14·1 answer
  • PLZ HELP
    12·2 answers
  • What it the answer?​
    11·1 answer
  • Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her
    12·1 answer
  • -6 ÷ -2 (-1 - 3)2 x -1
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!