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Licemer1 [7]
3 years ago
8

The perimeter of a rectangle is 162 inches. what are the dimensions of the rectangle if the length is 7 times than 3 times the w

idth?​
Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:

3.68 inches × 77.28 inches

Step-by-step explanation:

Given that,

The perimeter of a rectangle is 162 inches.

Let the width is b.

ATQ,

Length = 7 times than 3 times the width

l = 7(3b) = 21b ...(1)

The perimeter of a rectangle is given by :

P = 2(l+b)

Put all the values,

162 = 2(21b+b)

81 = 22b

b = 3.68 inches

Put the value of b in equation (1)

l = 21b

= 21 (3.68)

= 77.28 inches

Hence, the dimensions of the rectangle are 3.68 inches × 77.28 inches

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Solve |2x - 2| < 8
Alex777 [14]

Answer:

C

Step-by-step explanation:

|2x - 2| < 8

it implies that

2x - 2 < 8

2x -2 + 2 < 8 + 2

2x < 10

x < 5

or

-(2x - 2) < 8

-2x + 2 < 8

-2x + 2 - 2 < 8 - 2

- 2x < 6

x > -3 ( the sense of the inequality reverse because I divided by minus)

The solution can be combine to

-3<x<5

4 0
3 years ago
Morton made 36 out of 48 free throws last season. What percent of his free throw did Morton make?
sveta [45]
Just divide 36 by 48, and you will get that he made 75% of his free throws.
8 0
3 years ago
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How to write a decimal as a fraction?
love history [14]

Answer:

Step-by-step explanation:

Convert Decimals to Fractions

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

5 0
3 years ago
Solve the following quadratic equation 6x2 – 7x = 20
siniylev [52]

Answer:

<h2>x = 5/2 , x = - 4/3</h2>

Step-by-step explanation:

6x² - 7x - 20 = 0

Using method of factorization

Rewrite - 7x as a difference

That's

6x² + 8x - 15x - 20 = 0

Factor the expression

That's

2x( 3x + 4) - 5( 3x + 4) = 0

Which is

(2x - 5) (3x + 4) = 0

2x - 5 = 0

2x = 5

Divide both sides by 2

x = 5/2

3x + 4 = 0

3x = - 4

Divide both sides by 3

x = -4/3

Hope this helps you

5 0
3 years ago
Read 2 more answers
Who knows what 5 to the power of 2 i
Alexxandr [17]
If you mean 5^2 and not 5^2i then
5^2 just means 5 times itself,twice or 5 times 5 or 25


if you meant 5^2i
i=√-1
so law of exponents says a^(xz)=(a^x)^z so
5^2i=(5^2)^i or (25)^i
the answer (if you wanted 5^2i) is 25^i


IF YOU MEANT 5^2 then the answer is 25
6 0
3 years ago
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