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Tanya [424]
3 years ago
13

A rectangular parking lot has a perimeter of 232 feet. The length of the parking lot is 36 feet less than the width. Find the le

ngth and the width.
Mathematics
1 answer:
Ne4ueva [31]3 years ago
3 0

Answer:

<u>The rectangular parking lot has a width of 76 feet and a length of 40 feet</u>

Step-by-step explanation:

Let's find the length and the width of the rectangular parking lot, this way:

Perimeter = 232 feet

Perimeter = 2 Length + 2 Width

Length = Width - 36 feet

Now, substituting, we have:

2 (Width - 36) + 2 Width = 232

2 Width - 72 + 2 Width = 232

4 Width = 232 + 72

4 Width = 304

Width = 304/4 = 76 feet

Length = 76 - 36 = 40 feet

<u>The rectangular parking lot has a width of 76 feet and a length of 40 feet</u>

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Answer:

R-{-5}

Step-by-step explanation:

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so the vertex would be (-5,0)

the domain =R-{-5} , range=R-{0}

3 0
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Arjun solved the equation 7·m=56 His work is shown. What error did Arjun make?
natulia [17]
He multiplied rather than dividing.

\mathrm{Divide\:both\:sides\:by\:}7 \ \textgreater \  \frac{7m}{7}=\frac{56}{7} \ \textgreater \  Simplify \ \textgreater \ m = 8

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6765201

Step-by-step explanation:

(5.1*10)^4

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5 0
3 years ago
For each value of y , determine whether it is a solution to -21=6y-9 . A -5, B 3 , C -2, D 9
Nezavi [6.7K]

Option C

For each value of y, -2 is a solution of -21 = 6y - 9

<u>Solution:</u>

Given, equation is – 21 = 6y – 9  

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

<em><u>Option A) </u></em>

Given option is -5

Let us substitute -5 in given equation

- 21 = 6(-5) – 9

- 21 = -30 – 9  

- 21 = - 39  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option B)</u></em>

Given option is 3

- 21 = 6(3) – 9  

- 21 = 18 – 9  

- 21 = 9  

L.H.S ≠ R.H.S ⇒ not a solution

<em><u>Option C)</u></em>

Given option is -2

- 21 = 6(-2) – 9  

- 21 = - 12 – 9  

- 21 = - 21  

L.H.S = R.H.S ⇒ yes a solution

<em><u>Option D)</u></em>

- 21 = 6(9) – 9

- 21 = 54 – 9  

- 21 = 45  

L.H.S ≠ R.H.S ⇒ not a solution

Hence, the solution for the given equation is – 2, so option c is correct

6 0
3 years ago
The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of
ivanzaharov [21]
<h2>Answer:</h2>

R_2  is 3 ohms

<h2>Step-by-step explanation:</h2>

In a circuit containing two resistors R_1 and R_2 connected together in parallel, the total resistance R_T is given by;

\frac{1}{R_T} = \frac{1}{R_1}  + \frac{1}{R_2}              ---------(i)

<em>Make </em>R_2<em> subject of the formula;</em>

=> \frac{1}{R_2} = \frac{1}{R_T}  - \frac{1}{R_1}  

=> \frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}

=>   {R_2} = \frac{R_TR_1}{R_1 - R_T}       ---------------(ii)

From the question,

R_1 = 6Ω

R_T = 2Ω

Substitute these values into equation (ii) as follows;

=> {R_2} = \frac{2*6}{6 - 2}

{R_2} = \frac{12}{4}

R_2 = 3Ω

Therefore, the value of R_2 = 3 ohms or R_2 = 3Ω

3 0
3 years ago
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