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3 years ago

Rationalise the denominator.1/√5+√2

Mathematics

2 answers:

Pani-rosa [81]3 years ago

3 0

Answer:

Exact Form:

√5 + 5√2

__________

Decimal Form:

1.86142715

…

Step-by-step explanation:

N/A

Romashka-Z-Leto [24]3 years ago

3 0

Step-by-step explanation:

$\frac{1}{ \sqrt{5} + \sqrt{2} } \\ = \frac{1}{ \sqrt{5} + \sqrt{2} } \times \frac{\sqrt{5} - \sqrt{2} }{ \sqrt{5} - \sqrt{2} } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{ {( \sqrt{5)} }^{2} - {( \sqrt{2)} }^{2} } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{5 - 2 } \\ \\ = \frac{ \sqrt{5} - \sqrt{2} }{3}$

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To estimate the mean of a population with unknown distribution shape and unknown standard deviation, we take a random sample of

Naddika [18.5K]

Answer:

$t_{critical} = \pm 1.7793$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 64

Sample mean = 22.3

Sample standard deviation = 8.8

We want to estimate 92% confidence interval.

92% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

Degree of freedom = n - 1 = 63

$t_{critical}\text{ at degree of freedom 63 and}~\alpha_{0.01} = \pm 1.7793$

$22.3 \pm 1.7793(\dfrac{8.8}{\sqrt{64}} ) = 22.3 \pm 1.95723 = (20.34,24.26)$

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3 years ago

after flying at an altitude of 50 meters, a helicopter starts to descend when its ground distance from the landing pad is 11 kil

yarga [219]

Answer:

The angle of depression for the flight part is approximately 0.2604 degrees

Step-by-step explanation:

The given altitude at which the helicopter is flying = 50 meters

The horizontal distance of the helicopter from the helipad = 11 kilometers = 11,000 meters

The angle of depression = The angle of elevation = Arctan(Altitude/(Horizontal distance)

Therefore;

The angle of depression for the flight part = Arctan(50/(11,000)) ≈ 0.2604 degrees

8 0

2 years ago

Can someone solve this

zysi [14]

You know how Soh Cah Toa applies to right triangles; you can assign the adjacent side = 4 and hypotenuse = 7

CosФ = (adjacent) / (hypotenuse)

Then with the Pythagorean theorem
4² + b² = 7²
16 + b² = 49
b² = 49 - 16
b² = 33
b = √(33)

So "b" is the opposite side.

SinФ = (opposite) / (hypotenuse) = √(33)/7
TanФ = (opposite) / (adjacent) = √(33)/4

3 0

3 years ago

What is 0.11 as a fraction in simplest form

bazaltina [42]

11 hundredths , or 11/100

3 0

3 years ago

Find the measure of Angle B A. 50° B. 55° C. 60° D. 65°

kondaur [170]

Option B. 55° is the correct answer

Step-by-step explanation:

"The sum of interior angles of a triangle is always 180°"

Given

m∠A=(3x+1)°

m∠B=(2x-1)°

m∠C = 40°

We know that

m∠A+m∠B+m∠C=180°

Putting the values of angles

$(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\$

Subtracting 40 from both sides

$5x+40-40=180-40\\5x=140$

Dividing both sides by 5

$\frac{5x}{5} = \frac{140}{5}\\x=28$

We have to find Angle B,

m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°

Hence,

m∠B=55°

Option B. 55° is the correct answer

Keywords: Triangle, Interior angles

Learn more about triangles at:

#learnwithBrainly

8 0

3 years ago

Rationalise the denominator.1/√5+√2​

Rationalise the denominator.1/√5+√2