Pythagoras' Theorem only works with right angle triangles.
A makes a right angles triangle because:
√3² + 4² = 5
However B doesn't because:
√7² + 8² = 10.631 (which is not 9)
Nor does C because:
√3² + 9² = √90 (which is not √95)
So the answer is A
Answer:
<h3>The answer is option D.</h3>
Step-by-step explanation:
First we must first find the LCM
The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is
x² + 3x + 2
So we have
![\frac{x}{ {x}^{2} + 3x + 2 } - \frac{1}{(x + 2)(x + 1)} \\ \\ = \frac{x - 1}{ {x}^{2} + 3x + 2 }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%203x%20%2B%202%20%7D%20%20-%20%20%5Cfrac%7B1%7D%7B%28x%20%2B%202%29%28x%20%2B%201%29%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7Bx%20-%201%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%203x%20%2B%202%20%7D%20)
Hope this helps you
Answer:
Correct option is D)
The decimal expansion of a rational number is either terminating or non-terminating repeating.
(A) 0.14 is terminating, so it is a rational number
(B) 0.14
16
ˉ
=0.141616....
is also rational ( non-terminating repeating ), where digits 16 are repeating.
(C) 0.1416 is terminating, so it is a rational number
(D) 0.4014001400014.....
is an irrational number because it is neither terminating nor repeating.
1st payment = $1451
2nd payment = $1451 (1/3) = $483.67
3rd payment = $1452(1/3)² = $161.22
4th payment = $1451(1/3)³ = $53.74
Total after 4 payments = 1451 + 483.67 + 161.2 + 53.7 = $2149.63
Answer: C. $2,149.63