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Otrada [13]
2 years ago
6

Using the Pythagorean method solve the problem and find the area of the triangle

Mathematics
1 answer:
denis-greek [22]2 years ago
8 0

Answer:pythagoream theorem applies to right angle triangle.

Formula

C^2= a^2 + b^ 2

Where a&b are the two sides of the triangle so we need to find side c.

C^2 = 35.42^2+ 21.64^2

C^2 = 1254.57 + 468.29

C^2 = 1722.86

C = square root of 1722.86

C= 41.51m

Area of triangle

A = ab/2

A = 35.42 x 21.64/2

A = 383.24.

Step-by-step explanation:

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emmasim [6.3K]

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

7 0
3 years ago
I NEED HELP ASAP PLEASE
Kipish [7]

Answer:

D=(-3,3)

E=(5,0)

F=(2,-2)

Step-by-step explanation:

The coordinates are stated as =(x,y)

7 0
3 years ago
Pls help! (put a joke in ur awnser)
djverab [1.8K]

Answer:

r⁶

Step-by-step explanation:

Cancel the common factors or r⁹ and r³

3 0
2 years ago
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Please help! (listing BRAINLIST and giving points) ​ :)​
NikAS [45]

Answer:

Tan B = 12/5

Sin B = 12/13

Cos B = 5/13

Step-by-step explanation:

sine B =  opposite (12)/hypotenuse (13)

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Cosine B = adjacent/hypotenuse

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Tangent B = opposite/adjacent

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The answer is the top answer

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