Answer:
<h3>
![\boxed{15.2\: \: inches}](https://tex.z-dn.net/?f=%20%20%5Cboxed%7B1%3C%2Fstrong%3E%3Cstrong%3E5%3C%2Fstrong%3E%3Cstrong%3E.%3C%2Fstrong%3E%3Cstrong%3E2%3C%2Fstrong%3E%3Cstrong%3E%5C%3A%20%5C%3A%20%20inches%7D)
</h3>
Explanation:
Hypotenuse ( h ) = 16 inches
base ( b ) = 5 inches
perpendicular ( p ) = ?
Now, Using the Pythagoras theorem
![\mathsf{{h}^{2} = {p}^{2} + {b}^{2} }](https://tex.z-dn.net/?f=%20%5Cmathsf%7B%7Bh%7D%5E%7B2%7D%20%20%3D%20%20%7Bp%7D%5E%7B2%7D%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%7D)
![\mathsf{ {p}^{2} = {h}^{2} - {b}^{2} }](https://tex.z-dn.net/?f=%20%5Cmathsf%7B%20%7Bp%7D%5E%7B2%7D%20%20%3D%20%20%7Bh%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%7D)
plug the values
![\mathsf{ {p}^{2} = {16}^{2} - {5}^{2} }](https://tex.z-dn.net/?f=%20%5Cmathsf%7B%20%7Bp%7D%5E%7B2%7D%20%20%3D%20%20%7B16%7D%5E%7B2%7D%20%20-%20%20%7B5%7D%5E%7B2%7D%20%7D)
Evaluate the power
![\mathsf{ {p}^{2} = 256 - 25}](https://tex.z-dn.net/?f=%20%5Cmathsf%7B%20%7Bp%7D%5E%7B2%7D%20%20%3D%20256%20-%2025%7D)
Add the numbers
![\mathsf{ {p}^{2} = 231}](https://tex.z-dn.net/?f=%20%5Cmathsf%7B%20%7Bp%7D%5E%7B2%7D%20%20%3D%20231%7D)
Squaring on both sides
![\mathsf{ p = 15.19}](https://tex.z-dn.net/?f=%20%5Cmathsf%7B%20p%20%3D%2015.19%7D)
( Approximately 15.2) inches
Extra information
<u>Pythagoras</u><u> </u><u>Theorem</u>
The adjoining triangle is a right angled triangle ABC right angled at B. The side AC opposite to the right angle is called it's hypotenuse. Similarly, the sides AB and BC are called the perpendicular and the base respectively.
Pythagoras was a Greek Mathematician who loved around 500 B.C. and discovered a significant fact about right - angled triangles known as 'Pythagoras Theorem' .
The square of the hypotenuse of a right -angled triangle is equal to the sum of the squares of the remaining two sides.
( See attached picture )
Hope I helped!
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Blamed Germany for starting the war
Answer:
6-D) The porcupine is showing a physical characteristic adaptation and the opossum is showing a behavioral adaptation.
7-C) Both producers and consumers use energy that started from the sun.
8-C) Part 1 are producers, Part 2 is the sun
9-C) Salmon #2, life cycle adaptation
10-A) A change in its skin color
Explanation:
Answer: A-received services that the territorial government struggled to provide.
Explanation: got correct on Edge
Answer:
The Soviet Union and the United States stayed far apart during the next three decades of superpower conflict and the nuclear and missile arms race. Beginning in the early 1970s, the Soviet regime proclaimed a policy of détente and sought increased economic cooperation and disarmament negotiations with the West.
Explanation:
It's called the Cold War because no actual military engagement took place between the United States and the USSR (Union of Soviet Socialist Republics). Instead, fighting took place in proxy wars conducted in "third-world" countries.