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3 years ago

14

If one leg of a right triangle is 8 mm and the other leg is 5 mm, what is the approximate length of the hypotenuse of the triang

le? round your answer to the nearest whole.

2 answers:

Dmitry [639]3 years ago

6 0

The formula to calculate the missing side of a triangle is the Pythagorean theorem:

c² = a² + b²

In your case, c will be the hypotenuse:

$c^{2} = 8^{2} + 5^{2} 
$
$c^{2} = 64 + 25$
$c^{2} = 89$
$c = \sqrt{89}$
$c = 9,43$

The answer is 9mm.

Hope it helped!

lapo4ka [179]3 years ago

3 0

Answer: 9 mm

Explanation:

a² + b² = c²
8² + 5² = c²
c² = 64 + 25
c² = 89
c= √89
c = 9 mm (nearest whole number)

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nalin [4]

Answer:

The exact answer in terms of radicals is $x = 5*\sqrt[3]{25}$

The approximate answer is $x \approx 14.62009$ (accurate to 5 decimal places)

===============================================

Work Shown:

Let $y = \sqrt[5]{x^3}$

So the equation reduces to -7 = 8-3y

Let's solve for y

-7 = 8-3y

8-3y = -7

-3y = -7-8 ... subtract 8 from both sides

-3y = -15

y = -15/(-3) ... divide both sides by -3

y = 5

-----------

Since $y = \sqrt[5]{x^3}$ and y = 5, this means we can equate the two expressions and solve for x

$y = 5$

$\sqrt[5]{x^3} = 5$

$x^3 = 5^5$ Raise both sides to the 5th power

$x^3 = 3125$

$x = \sqrt[3]{3125}$ Apply cube root to both sides

$x = \sqrt[3]{125*25}$

$x = \sqrt[3]{125}*\sqrt[3]{25}$

$x = \sqrt[3]{5^3}*\sqrt[3]{25}$

$x = 5*\sqrt[3]{25}$

$x \approx 14.62009$

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3 years ago

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Answer:

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Answer: strong positive correlafion between data plan size 'x' and number of text messages sent 'y'

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'R' in statistics is used to denote correlation Coefficient. The correlation Coefficient is a value which ranges between -1 to +1. It tells us the level of relationship or correlation which exists between the relative movement of two variables, in this case the relationship between data plan size and the number of text messages sent in the US. R value of 0 depicts that no relationship exists between the two variables, R value closer the R value is to +1 and - 1 depicts the strength of positive and negative correlation of the two variables respectively.

A R value of +0.97 in the context above, depicts a strong positive correlation between data plan size and number of text messages sent in the US. That is large data size usually corresponds to large number of text messages and vice versa.

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3 years ago

How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be

SCORPION-xisa [38]

<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

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$C(n,r)=\dfrac{n!}{r!(n-r)!}$

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Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

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3 years ago

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Evgen [1.6K]

Answer:

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Step-by-step explanation:

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on solving the inequality by adding 3x on both side and adding 90 on both side we get that

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