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Dmitrij [34]
2 years ago
8

If the ratio of the length to the breadth of a rectangle be 5:3 and its perimeter is 144m find the length of the rectangle

Mathematics
1 answer:
Kamila [148]2 years ago
5 0

Answer:

length=45 m (2 sides = 90m)

Step-by-step explanation:

5x +3x=144

8x=144

x=18 (each of the 8 parts of 144 measure 18m)

5(18) + 3(18)=144

90 +54=144

90/2=45 (1 length side)

54/2=27 (1 width side)

The rectangle= 45+45 +27+27 = 144

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What is least to greatest 2/8 2/1 3/4 5/6 7/6​
yKpoI14uk [10]

Answer:

2/8, 3/4, 5/6, 7/6, 2/1

Step-by-step explanation:

To convert the fractions into ascending order (least to greatest):

     1.  Determine the LCM (Least common multiple) of the denominators.

     2. Then, using the LCM, multiply such number to the denominators                       such that the product is equivalent to the LCM of the denominators.

  • Note: The number we multiply to the denominator must also be multiplied to the numerator.

     3. Finally, create the set, in ascending order.

<h3>Determine the LCM of the denominators:</h3>

Given fraction set;

\dfrac{2}{8} ;  \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}

Therefore, the denominators of the fraction set are;

   \implies \text{Denominators: 8, 1, 4, 6, 6}

Determining the LCM using Division method;

   \ \ \underline{................}\\2\underline{| 8, 1, 4, 6, 6}\\ 2\underline{|4, 1, 2, 3, 3} \\ 2\underline{|2,1,1,3,3} \\3 \underline{|1, 1,1,1,1}

LCM of denominators: 2 × 2 × 2 × 3 = 24

<h3>Multiplying the denominators:</h3>

LCM of denominators: 24

<u>Multiply such number such that the denominators are equivalent to 24.</u>

   \implies \dfrac{2}{8} ;  \ \dfrac{2}{1}; \ \dfrac{3}{4}; \ \dfrac{5}{6};\ \dfrac{7}{6}

   \implies \dfrac{2 \times 3}{8 \times 3} ; \ \dfrac{2 \times 24}{1 \times 24}  ; \ \dfrac{3 \times 6}{4 \times 6}  ; \ \dfrac{5 \times 4}{6 \times 4}  ; \ \dfrac{7 \times 4}{6 \times 4}

   \implies \dfrac{6}{24}  ; \ \dfrac{48}{24}  ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}

<h3>Creating the set, in ascending order;</h3>

<u>Simply compare the fractions and put them in "smallest to biggest" order.</u>

   \implies \dfrac{6}{24}  ; \ \dfrac{48}{24}  ; \ \dfrac{18}{24} ; \ \dfrac{20}{24}; \ \dfrac{28}{24}

   \implies \dfrac{6}{24} < \dfrac{18}{24} < \dfrac{20}{24} < \dfrac{28}{24} < \dfrac{48}{24}

   \implies \dfrac{6}{24}  \ \ \huge{\text{(}\dfrac{2}{8} } \text{)}; \ \dfrac{18}{24} \ \huge{\text{(}\dfrac{3}{4}\huge{\text{)} ; \ \dfrac{20}{24} \ \huge{\text{(}\dfrac{5}{6} \huge{\text{)} ; \ \dfrac{28}{24} \ \huge{\text{(} \dfrac{7}{6} \huge{\text{)}; \ \dfrac{48}{24} \ \huge{\text{(} \dfrac{2}{1} \huge{\text{)}

Therefore, the set, in ascending order, is 2/8, 3/4, 5/6, 7/6, 2/1

Learn more about this topic: <u>brainly.com/question/27432239</u>

8 0
2 years ago
Sherman likes to make frozen snack cubes. He has a container that is 10 cm high, 7 cm long, and 5 cm wide. Each cube is 1 cm in
8090 [49]

Answer:

350 cubes

Step-by-step explanation:

10x7x5=350

3 0
2 years ago
Read 2 more answers
8y - 3y Combining like terms
Alchen [17]

Answer:

5y

Step-by-step explanation:

subtract 8 from 3

8 0
3 years ago
Read 2 more answers
Three times a number, increased by 1, is 25
Olegator [25]
The answer is 8. 
8 x 3 = 24
24 + 1 = 25 
Hope I helped :)
6 0
3 years ago
Read 2 more answers
I️ have to use 15 as Y
statuscvo [17]
-1/5of 15 =-3 then add 3 2/5th which is 17/2 so -3+17/2 = 11/2=5 1/2
7 0
3 years ago
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