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Leni [432]
3 years ago
5

Rationalise the denominator.1/√5+√2​

Mathematics
2 answers:
Pani-rosa [81]3 years ago
3 0

Answer:

Exact Form:

  √5 + 5√2

__________

       5

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)

7 0
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
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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<br><br> A. 50°<br> B. 55°<br> C. 60°<br> 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,

So

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:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#learnwithBrainly

8 0
3 years ago
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