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
Roman55 [17]
3 years ago
7

The area of a rectangular wall of a barn is 85 square feet. Its length is 12 feet longer than the width. Find the length and wid

th of the wall of the barn.
Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

Length = 17 feet, Width = 5 feet

Step-by-step explanation:

Given:

The area of a rectangular wall of a barn is 85 square feet.

Its length is 12 feet longer than the width.

Question asked:

Find the length and width of the wall of the barn.

Solution:

Let width of a rectangular wall of a barn = x

<u>As length is 12 feet longer than the width.</u>

Length of a rectangular wall of a barn = 12+x

As we know:

Area\ of\ rectangle=length\times breadth

85=(12+x)x\\\\85=12x+x^{2} \\

Subtracting both sides by 85

x^{2} +12x-85=0\\x^{2} +17x-5x-85=0\\Taking\ common\\x+(x+17)-5x(x+17)=0\\(x+17)(x-5)=0\\x+17=0, x-5=0\\x=-17,x=5

As width can never be in negative, hence  width of a rectangular wall of a barn = x = 5 feet

Length of a rectangular wall of a barn = 12+x=12+5=17\ feet

Therefore, length and width of the wall of the barn is 17 feet and 5 feet respectively.

                 

You might be interested in
Can you help me do this Q please :)
goldenfox [79]

Answer:

i didnt get it

Step-by-step explanation:

can you explain

3 0
3 years ago
What are the next two terms in the pattern 3,6,5,10,9,18,17
Llana [10]
The next two term in patterns is below 3,6,5,10,9,18,17,34,33,66
7 0
3 years ago
Read 2 more answers
Use proper probability notation. Identify function and label inputs when using technology.
zhannawk [14.2K]

Answer:

0.1349

Step-by-step explanation:

Given that:

Sample size, n = 500

20% of 500 ; 0.2 * 500 = 100

p = 0.18 ; n = 500 ; 1 - p = 0.82

P(x ≥ 100) ;

Using the binomial probability relation :

P(x =x) = nCx * p(x)^x * (1 - p)^(n - x

P(x ≥ 100) = 500C100 * 0.18^100 * 0.82^400

P(x ≥ 100) = 0.1349

5 0
3 years ago
What is the expansion of (3+x)^4
Vlad1618 [11]

Answer:

\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81

Step-by-step explanation:

Considering the expression

\left(3+x\right)^4

Lets determine the expansion of the expression

\left(3+x\right)^4

\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i

a=3,\:\:b=x

=\sum _{i=0}^4\binom{4}{i}\cdot \:3^{\left(4-i\right)}x^i

Expanding summation

\binom{n}{i}=\frac{n!}{i!\left(n-i\right)!}

i=0\quad :\quad \frac{4!}{0!\left(4-0\right)!}3^4x^0

i=1\quad :\quad \frac{4!}{1!\left(4-1\right)!}3^3x^1

i=2\quad :\quad \frac{4!}{2!\left(4-2\right)!}3^2x^2

i=3\quad :\quad \frac{4!}{3!\left(4-3\right)!}3^1x^3

i=4\quad :\quad \frac{4!}{4!\left(4-4\right)!}3^0x^4

=\frac{4!}{0!\left(4-0\right)!}\cdot \:3^4x^0+\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1+\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2+\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3+\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4

=\frac{4!}{0!\left(4-0\right)!}\cdot \:3^4x^0+\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1+\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2+\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3+\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4

as

\frac{4!}{0!\left(4-0\right)!}\cdot \:\:3^4x^0:\:\:\:\:\:\:81

\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1:\quad 108x

\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2:\quad 54x^2

\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3:\quad 12x^3

\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4:\quad x^4

so equation becomes

=81+108x+54x^2+12x^3+x^4

=x^4+12x^3+54x^2+108x+81

Therefore,

  • \left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81
6 0
3 years ago
Round <br> 0.655<br> to one decimal place.
Virty [35]

Answer:

0.7

Step-by-step explanation:

If we're rounding to one decimal place, we need to round up since it's 0.65.

8 0
3 years ago
Read 2 more answers
Other questions:
  • There are 20 entries in the chess tournament. How many ways can they finish in first, second,
    14·1 answer
  • How do i solve 3(2x+1)
    9·1 answer
  • A textbook store sold a combined total of 248 math and history textbooks in a week. The number of history textbooks sold was 68
    7·1 answer
  • Which ordered pair describes a point that should be removed from the graph so that the graph represents a function.
    6·2 answers
  • I need to find the approximate sum. ​
    11·1 answer
  • Y+1.8=3.14 to a whole number
    5·1 answer
  • Pls help i’ve been on this same question and i’m really about to snap
    11·1 answer
  • 2 show by calculation of nature of triangle AMK<br>3 CULCULATE BP MK AK
    7·1 answer
  • 8(−9 − 5x) + 4b use x = 9 and b = −9
    10·1 answer
  • ∠A and \angle B∠B are vertical angles. If m\angle A=(5x-4)^{\circ}∠A=(5x−4) ∘ and m\angle B=(2x-1)^{\circ}∠B=(2x−1) ∘ , then fin
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!