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sergiy2304 [10]
3 years ago
5

What are the dimensions of the outside rectangle?

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

Outer Square perimeter minus inside perimeter equals outside square perimeter

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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
#SPJ1



6 0
2 years ago
The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
In general, the median of a data set is less resistant to outliers than the mean. A. True B. False
Leto [7]
A. true, the median of a data set is less resistant to outliers than the mean
7 0
3 years ago
Read 2 more answers
Help quickly please!!!
vagabundo [1.1K]

Answer:

1/3 B h

1/3(50.24)(10)

plug in into a calculator

6 0
4 years ago
The temperature at 6:00 am was -12 Fahrenheit. The temperature increased by 1/2 Fahrenheit each hour for 6 hours. What was the t
zlopas [31]

Answer: -9°F

Step-by-step explanation:

From the question, we are told that the temperature at 6:00 am was -12 Fahrenheit and that the temperature increased by 1/2 Fahrenheit each hour for 6 hours.

The temperature, in degrees Fahrenheit, at noon would be:

= -12°F + 1/2(6)

= -12°F + 3°F

= -9°F

6 0
3 years ago
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