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
lozanna [386]
3 years ago
9

A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 20 square feet. Find the

length of the rectangle.
Please show your work So i can learn it
Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

Length = 5 feet

Step-by-step explanation:

The formula for finding the area of a rectangle is:

Area = Length x Width

The problem said that the width is 1 foot shorter than the length. This can be shown like this:

Width = (Length - 1)

Going back to our formula for finding area, we can replace Width with (Length - 1). We can also put 20 as the area since the problem already told us that the area of the rectangle is 20 square feet. By now, your equation should look similar to this:

Area = Length x Width

Area = Length x (Length - 1)

20 = Length x (Length - 1)

Now, we can go on to figuring out what the length is. For now, the length is going to be referred to as ' x '.

20 = Length x (Length - 1)

20 = (x)(x - 1)

*Distribute x to (x - 1)*

20 = x² - x

*This is beginning to look like a quadratic equation. Let's move all of the terms over to one side.*

20 = x² - x

0 = x² - x - 20

*It would appear that we need to factor this equation to get our answer.*

x² - x - 20

This would be the factored version of our equation because the factors -4 and 5 give us a product of -1 but also give us a sum of -1.

(x - 5) (x + 4)

From here, our options are narrowed down to 5 and -4. As we know, lengths cannot be real which means...

Length = 5 feet

~Hope this helps!)

You might be interested in
Help me pleaseeeeeee
Pepsi [2]

so I don't know but just use the internet

5 0
2 years ago
Please help asap! i don’t know what the answer is!
miss Akunina [59]

Answer:

I think its B

Step-by-step explanation:

I think it is B because 4*2=8 if I am wrong please tell me and i will double check and make sure i give you the right answer

5 0
3 years ago
What statement complete the proof below given 3x+ 7=x-5
Advocard [28]

Proof: x=-6

llllllllllllllllllllll


4 0
3 years ago
Read 2 more answers
If the FDIC has an insurance fund of $67. 8 billion and must use 7. 6% of it to cover several failed banks, approximately how mu
Black_prince [1.1K]

The remaining money will be $62. 65 billion

<h3>What will be the remaining fund in FDIC?</h3>

Given amount =$67. 8 billion

Amount used to cover several failed banks = 7.6% of the total amount

So the amount used to cover several failed banks=  \dfrac{67.8\times 7.6}{100}

Amount = 5.1528

So the remaining amount = 67.8-5.15=62.65

Thus the remaining money will be $62. 65 billion

To know more about percentage follow

brainly.com/question/24304697

4 0
2 years ago
"Suppose an object falling in the atmosphere has mass m=15kg and the drag coefficient is γ=9kg/s. Recall that the differential e
Art [367]

Answer:

a. v(t)= -6.78e^{-16.33t} + 16.33 b. 16.33 m/s

Step-by-step explanation:

The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=e^{\int\limits^  {}k \, dt } =e^{kt}. We now multiply both sides of the equation by the integrating factor.

μv' + μkv = μg ⇒ e^{kt}v' + ke^{kt}v = ge^{kt} ⇒ [ve^{kt}]' = ge^{kt}. Integrating, we have

∫ [ve^{kt}]' = ∫ge^{kt}

    ve^{kt} = \frac{g}{k}e^{kt} + c

    v(t)=   \frac{g}{k} + ce^{-kt}.

From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have

9.55 = 9.8 × 15/9 + ce^{-16.33 * 0} = 16.33 + c

       c = 9.55 -16.33 = -6.78.

So, v(t)=   16.33 - 6.78e^{-16.33t}. m/s = - 6.78e^{-16.33t} + 16.33 m/s

b. Velocity of object at time t = 0.5

At t = 0.5, v = - 6.78e^{-16.33 x 0.5} + 16.33 m/s = 16.328 m/s ≅ 16.33 m/s

6 0
3 years ago
Other questions:
  • Explain what is a Fungi?
    9·2 answers
  • 4m2 - 3mm + 5m4<br> help??
    13·1 answer
  • Marsha’s scores on seven tests were: 82, 78, 77, 93, 85, 91, and 86. What does she need to score on her next test to have an 86
    11·1 answer
  • How to perform long division
    9·1 answer
  • Which phrase best describes the association between variables X and Y?
    9·1 answer
  • What is the third cubed number
    14·1 answer
  • What is the Ratio of 472 and 482?
    5·2 answers
  • Compare the line passing through the points (—2, —9) and (4, 6) to the line given by the equation y = 2/5x - 4
    11·1 answer
  • Solve x2 – 2x = 15 by applying the quadratic formula.
    11·1 answer
  • A bank charges a fee of 0.5% per month for having a checking account. Stephani’s account has $325 in it. Which function models t
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!