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
Romashka-Z-Leto [24]
3 years ago
12

The area of a rectangular wall of a barn is 234 square feet. Its length is

Mathematics
1 answer:
professor190 [17]3 years ago
6 0

Answer:

  • length: 26 ft
  • width: 9 ft

Step-by-step explanation:

Let w represent the width of the wall. Then the length is 2w+8, and the area is the product of these dimensions:

  234 = w(2w+8)

Dividing by 2, we can simplify this to

  117 = w² +4w

We can add 4 to each side to complete the square, then take the square root.

  121 = w² +4w +4 = (w+2)²

  11 = w+2 . . . . . . . we are only interested in the positive square root

  9 = w . . . . . subtract 2

  2w+8 = 2·9 +8 = 26 . . . . . this is the length

The length and width of the wall are 26 ft and 9 ft, respectively.

You might be interested in
find a number such that when 3/4 of it is added to 3.5 the sum is the same as when 2/3 of it is subtracted from 6.5​
Lilit [14]

Answer:

2.1

Step-by-step explanation:

let unknown number be x

3/4x + 3.5= 6.5 - 2/3x

collect like terms

3/4x+2/3x=6.5 - 3.5

17/12x = 3

cross multiply

12 * 3=17x

36=17x

x=36/17

x=2.1

5 0
3 years ago
Can i have help thanks
Blizzard [7]

Answer:

∠ BOC = 42°

Step-by-step explanation:

Since OA and OC are perpendicular , that is at 90° to each other, then

∠ AOB + ∠ BOC = 90 , substitute values

5x + 8 + 6x - 6 = 90

11x + 2 = 90 ( subtract 2 from both sides )

11x = 88 ( divide both sides by 11 )

x = 8

Thus

∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°

5 0
3 years ago
(7a – 6) + 3.- 8a – (-2a +5).
mixer [17]

Answer:

a - 8

Explanation:

7a−6+3−8a−(−2a+5)

Distribute the Negative Sign:

=7a−6+3−8a+−1(−2a+5)

=7a+−6+3+−8a+−1(−2a)+(−1)(5)

=7a+−6+3+−8a+2a+−5

Combine Like Terms:

=7a+−6+3+−8a+2a+−5

=(7a+−8a+2a)+(−6+3+−5)

=a + −8

Answer:

= a − 8

7 0
3 years ago
I need your Help, please!<br> THX:)
USPshnik [31]
450 miles
1 in. Per 60 miles
460/60 = 7.5 inches
7 0
3 years ago
Read 2 more answers
Multiply the following complex numbers (4-6i)(6-8i)
Bad White [126]
(4-6i)(6-8i)

24-32i-36i+48i²

24 + -68i - 48

-24-68i
6 0
4 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is17 and the sum of their squares is 145. Find the larger number.
    8·2 answers
  • List the zeros of y = x(3x + 2)
    15·1 answer
  • Which of the sequences is an arithmetic sequence
    5·1 answer
  • A:1/360<br> B:1/90<br> C:1/180<br> D:1/100
    12·1 answer
  • What is expression that uses partial products to multiply 8x64 in 5th grade math
    9·2 answers
  • Find the value of the following expression:
    11·1 answer
  • What is the measure of XZ shown in the diagram below?
    6·2 answers
  • 1. In a survey of villagers it is found that 20% of the people have visited Kano and 25% have visited Port Harcourt and 5% have
    11·1 answer
  • Toni drives a boat 15 km/h upstream and then turns around and drives 25 km/h back downstream to her
    15·1 answer
  • A salesperson's commission rate is 4% what is the commission from the scale of 39,000 worth of furnaces?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!