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3 years ago

Estimake square root of 11. ?

Mathematics

2 answers:

Greeley [361]3 years ago

8 0

Answer:

3.3164 correct to four decimal places

Step-by-step explanation:

WE USE BINOMIAL THEOREM.

√11=√(10+1)=(10 + 1)^½

FACTOR TEN OUT

=> 10^½(1 +1/10)^½

WE KNOW THAT:

(1 +X) ^n= 1 + nX + [n(n -1)(x)²]/2! + .........

NOW LET X =1/10 AND n= ½

SUBSTITUTING INTO THE FORMULA ABOVE

=>(1/10)^½ [1 + (½)(1/10) +[½(½ –1)(1/10)^½]/2×1 + ......]

=(1/10)^½[1 + 1/20–1/800 +......]

=> (1/10)^½(839/800)

≈3.3164

THEREFORE √11 ≈ 3.3164( ESTIMATED)

elena55 [62]3 years ago

6 0

Answer:

11 not have root

Step-by-step explanation:

beause it is the prime number MARKE AS BRILLIANT

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer and explanation

docker41 [41]

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3 years ago

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

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3 years ago

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Vladimir79 [104]

Answer: The height of the building is 50.75 feet.

Step-by-step explanation:

The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.

For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.

The ratio will be: 5.8ft/3.2ft = 1.8125

Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:

H/28ft = 1.8125

Now we can solve this for H.

H = 1.8125*28ft = 50.75 ft

Then the height of the building is 50.75 feet.

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3 years ago