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Masteriza [31]
4 years ago
8

a right triangle has side lengths 15 centimeters, 25 centimeters, and 20 centimeters. How can you use the Pythagorean Theorem to

write an equation that describes how the side lengths are related ?
Mathematics
2 answers:
Leno4ka [110]4 years ago
8 0

Answer:

625

The sides of right triangle are related based on Pythagorean Theorem.  

Step-by-step explanation:

nika2105 [10]4 years ago
5 0

The sides of right triangle are related based on Pythagorean Theorem.  

Step-by-step explanation:

Given that,

Side 1 = s1 = 15cm

Side 2 = s2 = 20cm

Side 3 = s3 = 25cm

The general definition of Pythagorean Theorem is that the square of hypotenuse is equal to the sum of square of other two sides in right triangle.

Also, hypotenuse is the largest side of rectangle. So, it is 25 cm.

In that case, the Pythagorean Theorem would be:

(s3)^{2} = (s2)^{2} + (s1)^{2}

(25)^{2} = (20)^{2} + (15)^{2}

625 = 400 + 225

625 = 625

Hence, the sides of right triangle are related based on Pythagorean Theorem.  

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Answer:

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Step-by-step explanation:

Notation and definitions

n random sample taken  (variable of interest)

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A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

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In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586  

And rounded up we have that n=350

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