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djyliett [7]
3 years ago
11

The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0
Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

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\textbf{Answer:}

\frac{-1}{4}

\textbf{Step-by-step explanation:}

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\textrm{The rate of change of this line is } \frac{-1}{4}

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1. For the function f(x) = 3x + 1, find f(-2). (substitute -2 in for x)
puteri [66]

Answer:

f(-2) = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
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  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x + 1

f(-2) is x = -2

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(-2) = 3(-2) + 1
  2. Multiply:                               f(-2) = -6 + 1
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4 0
3 years ago
What are RQS and TQS?
yaroslaw [1]

Answer:

m∠RQS = 72°

m∠TQS = 83°

Step-by-step explanation:

m∠RQS +m ∠TQS = m∠RQT

The two angles combine to make a larger angle

So

m∠RQS = (4x - 20)

m∠TQS = (3x + 14)

(4x - 20) + (3x + 14) = 155

Group the Xs and the constants

4x + 3x - 20 + 14 = 155

Combine like terms

7x - 6 = 155

Add 6 to both sides

7x = 161

Divide by 7 on both sides

x = 23

Check:

4(23) - 20 + 3(23) + 14 = 155

92 - 20 + 69 + 14 = 155

155 = 155

But we need to find m∠RQS and m∠TQS. So plug in x = 23 to the values.

m∠RQS = 4(23) - 20 = 72°

m∠TQS = 3(23) + 14 = 83°

Checking:

72 + 83 = 155

8 0
3 years ago
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