Answer:
-12 + 3 - (10x - 15x + 96)
Step-by-step explanation:
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Answer:
Question unclear.
If the question was about the perimeter of the rectangle, it is calculated as:
= (Length * 2) + (Height * 2)
= (11 * 2) + (6 * 2)
= 22 + 12
= 34 cm
If the question was bout Area, the area is:
= Length * width
= 11 * 6
= 66 cm²
Answer:
(B)
Step-by-step explanation:
The given options are:
A. 2, 2, ![\sqrt{42}](https://tex.z-dn.net/?f=%5Csqrt%7B42%7D)
B. 9,40, 41
C. ![\sqrt{5},10,\sqrt{125}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D%2C10%2C%5Csqrt%7B125%7D)
In order to prove that the given side lengths form a right triangle, we will satisfy the Pythagoras theorem.
A. ![(\sqrt{42})^{2}=(2)^{2}+(2)^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B42%7D%29%5E%7B2%7D%3D%282%29%5E%7B2%7D%2B%282%29%5E%7B2%7D)
⇒![42=4+4](https://tex.z-dn.net/?f=42%3D4%2B4)
⇒![42=8](https://tex.z-dn.net/?f=42%3D8)
which does not satisfy the theorem, thus this option is incorrect.
B. ![(41)^{2}=(9)^{2}+(40)^{2}](https://tex.z-dn.net/?f=%2841%29%5E%7B2%7D%3D%289%29%5E%7B2%7D%2B%2840%29%5E%7B2%7D)
⇒![1681=1600+81](https://tex.z-dn.net/?f=1681%3D1600%2B81)
⇒![1681=1681](https://tex.z-dn.net/?f=1681%3D1681)
which satisfies the theorem, thus this option is correct.
C. ![(\sqrt{125})^{2}=(10)^{2}+(\sqrt{5})^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%7B125%7D%29%5E%7B2%7D%3D%2810%29%5E%7B2%7D%2B%28%5Csqrt%7B5%7D%29%5E%7B2%7D)
⇒![125=100+5](https://tex.z-dn.net/?f=125%3D100%2B5)
⇒![125=105](https://tex.z-dn.net/?f=125%3D105)
which does not satisfy the theorem, thus this option is incorrect.
1 2/3 = 5/3
Divide fraction, multiply reciprocal
5/3 * 8/1 = 40/3