In a right angled triangle we can use Pythagoras theorem to determine third side in case two sides are given.
The formula of Pythagoras theorem is given by:
![x^{2} +y^{2} =z^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%2By%5E%7B2%7D%20%3Dz%5E%7B2%7D%20%20)
Where x , y and z are sides of triangle , z is hypotenuse.
Now we use this formula to find hypotenuse.
Plugging other two sides which are 5 in. and 12 in.
![5^{2} +12^{2} =z^{2}](https://tex.z-dn.net/?f=%205%5E%7B2%7D%20%2B12%5E%7B2%7D%20%3Dz%5E%7B2%7D%20%20)
![25 +144 =z^{2}](https://tex.z-dn.net/?f=%2025%20%2B144%20%3Dz%5E%7B2%7D%20%20)
![169 =z^{2}](https://tex.z-dn.net/?f=%20169%20%3Dz%5E%7B2%7D%20%20)
Taking square root on both sides
square root of 169 is 13
so we have z=13
Hypotenuse is 13 inches.
The quantity that is present after 2000 years will be A. 7.851 grams.
<h3>How to calculate the quantity?</h3>
From the information given, initially at t = 0, the quantity is 10 grams.
After 2000 years, the appropriate quantity will be:
Q(2000) = 10 (1/2) × (2000/5730)
Q(2000) = 7.851 grams.
In conclusion, the correct option is A.
Learn more about quantity on:
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Answer:
6x^2-7x-20 (c)
Step-by-step explanation:
(3x+4)(2x−5)
=(3x+4)(2x+−5)
=(3x)(2x)+(3x)(−5)+(4)(2x)+(4)(−5)
=6x^2−15x+8x−20
=6x^2-7x-20
Answer:
-128
Step-by-step explanation:
Answer:
Brand A unit price;
= 5.29/28
= $0.19
Brand B unit price;
= 8.47/48
= $0.18 per pencil
<u><em>Brand B </em></u><em>is the</em><u><em> better buy </em></u><em>as it is cheaper per pencil. </em>