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tankabanditka [31]

3 years ago

14

Rationalize the denominator in each expression. That is, rewrite the expression so that there is a rational expression in the de

nominator a)((x-9)/√(x-9))b)((x-9)/(√x+3))

1 answer:

ad-work [718]3 years ago

7 0

Answer:

explanations: we multiply with a rational surd

(x-9)*√(x+9)/(√(x-9)*√(x+9)

=(x-9)√(x+9)/

$x {}^{2} - 9$

B.( x-9)/√x+3 =( x-9)*(√x-3)/(√x+3)*(√x-3)

= (x-9)*(√x-3)/x-9

=√x-3

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The distance from around the Earth along a given latitude can be found using the formula C=2∏r cos L , where r is the radius of

guajiro [1.7K]

Answer:

The distance reduces to 0 as you go from 0° to 90°

Step-by-step explanation:

The question requires you to find the distance using different values of L and check the trend of the values.

Given C=2×pi×r×cos L where L is the latitude in ° and r is the radius in miles then;

Taking r=3960 and L=0° ,

C=2× $\pi$ ×3960×cos 0°

C=2× $\pi$ ×3960×1

C=7380 $\pi$

Taking L=45° and r=3960 then;

C= 2× $\pi$ ×3960×cos 45°

C=5600.28 $\pi$

Taking L=60° and r=3960 then;

C=2× $\pi$ ×3960×cos 60°

C=3960 $\pi$

Taking L=90° and r=3960 then;

C=2× $\pi$ ×3960×cos 90°

C=2× $\pi$ ×3960×0

C=0

Conclusion

The values of the distance from around the Earth along a given latitude decreases with increase in the value of L when r is constant

7 0

3 years ago

Read 2 more answers

1. Which number sets does the number

Zina [86]

Answer:

natural numbers and integers

8 0

3 years ago

Y'all please answer this, i asked this two times already :(

Andrew [12]

Answer:

-7 C

Step-by-step explanation:

The difference between -5 C and -12 C is -7 C, since -12 - (-5) = -7

5 0

3 years ago

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If 32(2)c = 8c+7, what is the value of c?<br><br> o 1<br> o 2<br> o 3<br> o 5

Jlenok [28]

If you are doing this you would have to do It the value of c Is 5 I did the test

6 0

2 years ago

An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated.

SCORPION-xisa [38]

Answer:

(a)See below

(b)I) 0.125 (ii)0.828125 (iii)0.234375 (iv) 0.625 (v)0.65625

Step-by-step explanation:

When an 8-sided die is rolled twice, the sample space is the set of all possible pairs (a,b) where a is the 1st outcome and b is the 2nd outcome.

The sample space is:

$[(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),(1, 7),(1, 8)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),(2, 7),(2, 8)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),(3, 7),(3, 8)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),(4, 7),(4, 8)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5, 6),(5, 7),(5, 8)\\(6, 1), (6, 2), (6, 3), (6, 4)(6, 5),(6, 6),(6, 7),(6, 8)\\(7, 1), (7, 2), (7, 3), (7, 4)(7, 5),(7, 6),(7, 7),(7, 8)\\(8, 1), (8, 2), (8, 3), (8, 4)(8, 5),(8, 6),(8, 7),(8, 8)]$

<u>PART A</u>

The sample space of the product a*b of each pair forms the required possibility diagram.

This is given as:

$1, 2, 3, 4, 5, 6,7,8\\2, 4, 6, 8, 10, 12,14,16\\3,6,9,12,15,18,21,24\\4,8,12,16,20,24,28,32\\5,10,15,20,25,30,35,40\\6,12,18,24,30,36,42,48\\7,14,21,28,35,42,49,56\\8,16,24,32,40,48,56,64$

<u>PART B</u>

I) A prime number

The number of products that gives prime numbers = 8

The probability that the product is a prime number

$=\dfrac{8}{64}= \dfrac{1}{8}\\=0.125$

ii) Not a perfect square

Number of products that results in perfect squares =11

The probability that the product is not a perfect square

$=\dfrac{64-11}{64}= \dfrac{53}{64}\\=0.828125$

iii) A multiple of 5

Number of products that are multiples of 5=15

The probability that the product is a multiple of 5

$=\dfrac{15}{64}\\=0.234375$

iv) Less than or equal to 21

Number of products which are less than or equal to 21=40

The probability that the product less than or equal to 21

$=\dfrac{40}{64}=\dfrac{5}{8}\\=0.625$

v) Divisible by 4 or 6

Number of products divisible by 4 or 6= 42

The probability that the product is divisible by 4 or 6

$=\dfrac{42}{64}=\dfrac{21}{32}\\=0.65625$

8 0

3 years ago