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Aleks04 [339]
3 years ago
14

A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar

ea?
Mathematics
1 answer:
Ket [755]3 years ago
7 0
<span>A = l x w
Since 
l = 3w

Substitute the l with 3w
The formula will be

A = 3w + w
A = 4w

An example:
The given known values are: Length of 4 cm Width is unknown Perimeter is 34 cm Find the dimensions of the rectangle.   Since the geometric formula for perimeter is: </span>
P= 2 (l + w) 
L = 2w – 4 cm 
W =?   
Derivation and solution: 
34 = 2 (2w - 4) + 2w <span>
34 =  4w – 8 + 2w</span> 
42 = 6w 42/6 = w 
W = 7 cm   

34 = 2l + 2(7) 
34 = 2l + 14 
2l = 34 – 14 
2l = 20 
L = 20/2 
L = 10 cm<span> <span>
</span></span>

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What is the fourth term in the sequence given by a n=5n+3
OverLord2011 [107]
To determine the fourth term, plug 4 into the equation;
n = 5n+3 \\  n_{4} =5(4)+3 \\  n_{4} =20+3 \\ n_{4}=23
3 0
3 years ago
Consider the following equation.
EastWind [94]

The approximate solution of the above equation is: 55/15 (Option A). This is solved using the quartic formula, not quadratic equation.

<h3>What is the Quartic Formula?</h3>

The quartic formula has up to four various solutions including real and imaginary numbers. Read on for more explanation.

<h3>What is the solution to the above question?</h3>

First we restate the above equation:

x²-3x+2= √(x-2) + 2

Next we remove square roots

x^{4} - 6x³ + 9x² = x - 2

Add two to both sides

→ x^{4} - 6x³ + 9x²+2 = x - 2 +2

→  x^{4} - 6x³ + 9x²+2 = x

Subtract X from both sides

→  x^{4} - 6x³ + 9x²+2 -x = x -x

→  x^{4} - 6x³ + 9x²+2 - x= 0

Using the Quartic formula to solve the fourth order equation:
ax^{4} + bx³ + cx² + dx + e

The resolution of x is given as:

x = 2.691085, 3.346753

Because the fraction nearest to 3.4 is 55/16

hence, the correct answer is Option A.

Learn more about quadratic equations at;
brainly.com/question/25841119
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6 0
2 years ago
If PQ bisects Angle RPS and measure of angle RPS = 120°, find p and measure of angle RPQ.
Ghella [55]

Answer:

p = 6; RPQ = 60 degrees

Step-by-step explanation:

Because RPS is 120 degrees and it is bisected by PQ (cut into 2 equal parts), we can determine that both sides are 60 degrees. Set the expression 5p+30 equal to 60 to find the value of p.

5p + 30 = 60

5p = 30

p = 6

So now you have determined that p = 6, and the measure of RPQ is 60 degrees.

Hope this helped!

8 0
3 years ago
Read 2 more answers
Find the area of the trapezoid. Pls explain and I will mark brainliest.
timama [110]

Answer:

  • B. 191.4 m²

Step-by-step explanation:

Split the trapezoid as pictured below

Find its height and the upper base, then find the area of the trapezoid.

There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles

  • The ratio of sides of a 30°×60°×90° triangle is  1 : √3 : 2
  • The legs of a 45x45 triangle are equal

<u>The above mentioned properties give us:</u>

  • h = 16/2 = 8 m
  • b = 8√3 ≈ 13.85 m
  • a = h = 8 m

<u>Now find the area:</u>

  • A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²

Correct choice is B

8 0
3 years ago
Please help, will give brainlist
yulyashka [42]

Answer:

VERTICAL

Step-by-step explanation:

6 0
3 years ago
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