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Marrrta [24]
3 years ago
15

The perimeter of a rectangle is 48 cm. The length is 6cm less than twice the width. Which system would model this situation and

what are the lengths and the width
Mathematics
1 answer:
fenix001 [56]3 years ago
7 0
The easiest way to solve this question would be to subtract the 6 from the 48 which results in 42. Then because the length is twice it’s width we divide the 42 by 3 which gives us 14. Therefore the width is 14 and the length is double of fourteen which is 28
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Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?
bonufazy [111]

Answer:

16

Step-by-step explanation:

The mean of a group of values is calculated as

mean = \frac{sum}{count}

Given 5 numbers with a mean of 12, then

\frac{sum}{5} = 12 ( multiply both sides by 5 )

sum = 60

let the number removed be x , then

\frac{60-x}{4} = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

The number removed was 16

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Nina [5.8K]

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Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig
Aleks [24]

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

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We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

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Substituting the coordinates of the point C in the above formula, we get;

(2, 1) \Rightarrow(-1, 2)

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5 0
4 years ago
Find cot θ if csc θ = negative square root of thirty seven divided by six and tan θ &gt; 0.
Ket [755]
You can use the trigonometric identity  1+\cot^2{x}=\csc^2{x}.

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The requirement that \tan{\theta}\ \textgreater \ 0 eliminates -1/6 from being another solution.
6 0
3 years ago
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