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mixas84 [53]
3 years ago
13

The area of the rectangle is 24 inches. How much longer is its length than its width?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0
I Belive That There Can't Be 3 Numbers In A Rectangle Because At The Top You Get 24 And 6 And I Think It Is BxH One Half Times Base Times Height So 2xBxH . 
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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
Crazy boy [7]

Let

a1=768\\a2=480\\a3=300\\a4=187.5

Step 1

Find \frac{a2}{a1}

\frac{a2}{a1} =\frac{480}{768}

Divide by 96 numerator and denominator

\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\   \\ \frac{480}{768}=\frac{5}{8}

a2=a1*\frac{5}{8}

Step 2

Find \frac{a3}{a2}

\frac{a3}{a2} =\frac{300}{480}

Divide by 60 numerator and denominator

\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\   \\  \frac{300}{480}=\frac{5}{8}

a3=a2*\frac{5}{8}

Step 3

Find \frac{a4}{a3}

a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}

\frac{a4}{a3} =\frac{\frac{375}{2}}{300}  \\ \\  \frac{a4}{a3} =\frac{375}{600}

Divide by 75 numerator and denominator

\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\   \\ \frac{375}{600}=\frac{5}{8}

a4=a3*\frac{5}{8}

In this problem

The geometric sequence formula is equal to

a(n+1)=a(n)*\frac{5}{8}\\

For n\geq 1

therefore

the answer is

the common ratio for the geometric sequence above is \frac{5}{8}



6 0
3 years ago
Read 2 more answers
The measures of the angles of ABC are given by the expressions in the table A( 6X - 1 ) ° B 20° C ( x + 14 ) ° what are the meas
lawyer [7]

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. This means that in triangle ABC,

Angle A + angle B + angle C = 180

Therefore,

6x - 1 + 20 + x + 14 = 180

6x + x + 20 + 14 - 1 = 180

7x + 33 = 180

Subtracting 33 from the left hand side and the right hand side of the equation, it becomes

7x + 33 - 33 = 180 - 33

7x = 147

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7x/7 = 147/7

x = 21

Therefore

Angle A = 6x - 1 = 6 × 21 - 1

Angle A = 125 degrees

Angle C = x + 14 = 21 + 14

Angle C = 35 degrees.

7 0
3 years ago
Simple Interest on £50 at 3% for 2 years
Semenov [28]

Answer:l

Step-by-step explanation:L

6 0
2 years ago
Which of the following represents a function?
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Answer:

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Step-by-step explanation:

6 0
3 years ago
An in ground rectangular pool has a concrete pathway surrounding the pool. if the pool is 16 feet by 32 feet and the entire area
Anastasy [175]
1. Let's call:
 
 x: the width of the walkway.
 b: 2x+16 (there is a widht "x" of the walkway on each side).
 h: 2x+32  (there is a widht "x" of the walkway on each side).
 A: 924 ft^2 ( the area of the pool of including the walkway).
 
 2. The area of a rectangle is:  
 
 A=(b)(h)
 
 b: the base of the rectangle (2x+16)
 a: the height of the rectangle (2x+32)

 3. Then, we have a quadratic equation:
 
 924=(2x+16)(2x+32)
 4x^2+64x+32x+512-924=0
 4x^2+96x-412=0
 
 4. We apply the quadratic formula to find the value of "x":
 
 x=(-b±√(b^2-4ac))/2a
 
 x=3.71
 
 The answer is: The width of the walkway is 3.71 ft

7 0
3 years ago
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