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Ulleksa [173]
3 years ago
14

Mr. Thompson drew a rectangle on the chalkboard with a length to width ratio of 5 to 2. He asked students to draw a rectangle wi

th the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimeters. What length should Audrey's rectangle have?
Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

15 centimeters

Step-by-step explanation:

Ratio of Mr. Thompson rectangle = length : width

= 5 : 2

Audrey plans to draw a rectangle with a width of 6 centimeters.

Ratio of Audrey rectangle = length : width

= x centimeters : 6 centimeters

Equate the two ratios to find the value of x

5 : 2 = x : 6

Cross product

5 * 6 = 2 * x

30 = 2x

Divide both sides by 2

x = 30 / 2

= 15

x = 15 centimeters

Audrey's rectangle should have a length of 15 centimeters

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Answer:

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Step-by-step explanation:

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The long side has length 7cm, so the sum of 2 shorter sides must be bigger than 7cm for them to "touch". Note: if the sum was 7cm, the only way they would touch is if they were laid along the long side, so it would not be a triangle - it would be a segment.

Fortunately, 3cm + 5cm > 7cm, so we can form a triangle.

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Answer:

30:19 or 30/19 or 30 to 19

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Manuel is 6 years older than melissa. In 6 years the sum of their ages will be 52. How old is manuel now?
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Step-by-step explanation:

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g The sixth row of Pascal's Triangle is: 1 6 15 20 15 6 1 (a) What is the 7th row of Pascal's Triangle? (b) Use your answer to t
allsm [11]

ANSWER

a)The 7th row is:

1 7 21 35 35 35 21 7 1

b)

{(x + y)}^{7}  = {x}^{7}+ 7 {x}^{6} y+ 21 {x}^{5}  {y}^{2}+ 35 {x}^{4}  {y}^{3} + 35{x}^{3}  {y}^{4} + 21{x}^{2} {y}^{5}  + 7x {y}^{6}+ {y}^{7}

EXPLANATION

The sixth row of Pascal's Triangle is:

1 6 15 20 15 6 1.

We generate the 7th row by repeating the eXtreme 1s and adding the entries directly above to generate the entries within as show in the attachment.

The 7th row is:

1 7 21 35 35 35 21 7 1

b) We can use this to expand

{(x + y)}^{7}

We know that the degree of x is going to decrease from left to right and the degree of y is going to increase from left to right.

{(x + y)}^{7}  = 1 ({x}^{7} ) + 7( {x}^{6} y) + 21( {x}^{5}  {y}^{2} ) + 35( {x}^{4}  {y}^{3} ) + 35( {x}^{3}  {y}^{4} ) + 21(  {x}^{2} {y}^{5} ) + 7( x {y}^{6} ) + 1( {y}^{7} )

This simplifies to,

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4 years ago
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