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aev [14]
3 years ago
9

A rectangle is twice as long as it is wide. Its width is 51⁄2 cm. Find the area of the rectangle.

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

Step-by-step explanation:

The are of rectangle is 1300.5cm2

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Please help!! I will make you brainlest.
Strike441 [17]

Answer:

Step-by-step explanation:

These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.

The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:\sqrt{2\\}, so I have to divide the hypotenuse by \sqrt{2\\} to get the legs. The hypotenuse is 15\sqrt{6}, so that divided by \sqrt{2\\} is 15\sqrt{3\\}. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15\sqrt{3\\}.

The second triangle is a 30 60 90 degree triangle, so the ratio is x:x\sqrt{3}:2x. The short leg is 7\sqrt{3}, so 7\sqrt{3} * 2 is the hypotenuse, which is 14\sqrt{3}. The long leg is 7\sqrt{3} * \sqrt{3}, which is 21. So, x for the second triangle is 14\sqrt{3}, and y for the second triangle is 21.

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3 years ago
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A polynomial has a leading coefficient of -4 and is a sixth-degree monomial. Name the expression that represents this polynomial
Bogdan [553]

Answer:

its 988080808808080808080808000000000000000000000000000000000

Step-by-step explanation:

988080808808080808080808000000000000000000000000000000000

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3 years ago
Tim Worker is doing his budget. He discovers that the average electric bill for the year was $206.00 with a standard deviation o
ivanzaharov [21]

Answer:

  • -2.2
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<h3>Step-by-step explanation:</h3>

The z-value is computed from ...

... z = (x -µ)/σ

... z = (184 -206)/10 = -2.2 . . . . for $184

... z = (200 -206)/10 = -0.6 . . . . for $200

You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.

... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)

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Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.

_____

<em>Comment on the calculator display</em>

The difference that got cut off from the display in the attachment is ...

... 0.2603496703

The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.

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3 years ago
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Answer:

(4k^2+7)(7k-6)

Step-by-step explanation:

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4k^2(7k-6)+7(7k-6)

Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:

(4k^2+7)(7k-6)

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