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2 years ago

PLEASE HELP... VERY URGENT... WILL GIVE BRAINLIEST!!!

Mathematics

1 answer:

lakkis [162]2 years ago

7 0

Answer:

Step-by-step explanation:

a) Pythagorean theorem,

altitude² + base² = hypotenuse²

h² + (w² - 1)² = (w² + 1)²

h² = (w² + 1)² - (w² - 1)²

{Compare with (a + b)² - (a -b)² = 4ab where a =w² & b = 1}

h² = 4*w²*1

h² = 4w²

$h=\sqrt{4w^{2}} = \sqrt{2*2*w*w} \\\\\\h = 2w$

b) Area of triangle = $\frac{1}{2}b*h$

$=\dfrac{1}{2}*(w^{2}-1) *2w\\\\= (w^{2}-1)*w = w^{2}*w - 1*w\\\\=w^{3}-w$

c) w =2

Area of triangle = 3w = 3*2 = 6

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Data given and notation

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$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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We need to calculate the degrees of freedom first given by:

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