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sleet_krkn [62]
3 years ago
8

A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.

Mathematics
1 answer:
k0ka [10]3 years ago
5 0

Answer:

Step-by-step explanation:

a) Let the width = w

Two times its width = 2*w = 2w

9 inches less than 2w = 2w - 9

Length = 2w - 9

Area of rectangle = length *width = 180 square inches

(2w - 9 ) * w = 180

2w*w - 9*w = 180

2w² - 9w - 180 = 0

b) sum = -9

Product= -360

Factors  = -24 , 15    {15 *[-24] = -360 and 15 + (-24) = -9 }

2w² - 9w - 180 = 0

2w² - 24w + 15w - 180 = 0

2w(w - 12w) + 15(w - 12) = 0

(w -12) (2w + 15) = 0

{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}

w - 12 = 0

w = 12 inches

l = 2w -9

 = 2*12 - 9

= 24 - 9

l = 15

length = 15 inches

Width = 12 inches

c) Perimeter = 2 *(length + width)

                     = 2*(15 + 12)

                     = 2 * 27

                     = 54  inches

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as they lie on the transversal

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Round off 53.96 to the nearest tenth​
Ne4ueva [31]

Answer:

54.0

Step-by-step explanation:

53.96

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9 + 1 = 10

Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.

5<u>3</u>.96

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Since you are focusing on the tenth place, keep the zero sitting on that spot.

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3 years ago
Right now Jack’s age is greater than twice Fred’s age by 4. After 8 years, the sum of their ages is 59. Find Fred’s age.
Lady bird [3.3K]

Fred's age is 13 years

Let

Fred's age = x

Jack's age = 2x + 4

After 8 years:

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  • Jack's age = 2x + 4 + 8

= 2x + 12

  • Sum of their ages = 59

Sum of their ages = Fred's age + Jack's age

59 = (x + 8) + (2x + 12)

59 = x + 8 + 2x + 12

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Therefore, Fred's age = 13 years

brainly.com/question/24371832

4 0
3 years ago
Antia has 300 in her savings account that earns 5% annually.the interest is not compounded.how much interest will she earn in 1
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Explain how to use the combine place values strategy to find 223-119
Irina-Kira [14]
Combine place value strategy is useful if you try to subtract a number with bigger digits from a number with a smaller digit in the same place... such as now, where 3 is smaller than 9 in the ones place. 

<span>Then we can combine two place values: 23 and 19 and subtruct those. 23-19 is 4 (you can just count up from 19 to 23), so you know that the two will give  the result of </span>04, and then you can proceed to the left: 2-1=1<span>. </span>

<span>so the final result will 104.

Hope I helped:P </span>
8 0
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