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muminat
3 years ago
13

The sum of the reciprocals of 2 consecutive integers is 32/132

Mathematics
1 answer:
lisabon 2012 [21]3 years ago
4 0
SOLUTION:

x + x + 1 = 132 / 32

2x + 1 = 33 / 8

2x = 33 / 8 - 1

2x = 25 / 8

x = 25 / 8 / 2

x = 25 / 16

The first number is 25 / 16. Therefore, as the second number is consecutive we simply add 1 to the first number to achieve the second number as displayed below:

Second number:

= x + 1

= 25 / 16 + 1

= 36 / 16

= 9 / 4

ANSWER:

Therefore, the first number is 25 / 16 and the second number is 9 / 4.

Hope this helps! :)
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If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same an
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Answer:

The cotangent of the angle will be b/a

Step-by-step explanation:

Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,

then the cotangent will be the reciprocal of the value of the tangent

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A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V
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Answer:

<h3>2642km</h3>

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278

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Hence the birds distance in km will be 2642km to the nearest kilometers

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3 years ago
Joshua has (10+6a^2-5a) dollars in his savings account. Maranda had (4a^2a+3) dollars in her saving account how much more money
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Answer:

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Step-by-step explanation:

Joshua has 6a^2 -5a + 10 dollars and Maranda has 4a^2 + a + 3 to find out how much more money Joshua has we need to subtract the amount he has by the amount of Maranda's account. Since both expressions are pollynomial we'll have to subtract the numbers wich are multiplying the same power, so we do as follow:

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Joshua has 2a^2 -6a + 7 more than Maranda.

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