(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
Answer:
80, 20 suvs in 45 vehicles, 45 is 1/4 of 180, so just multiply 20 times 4 and the answer you get is 80
Answer:
4.13=4.130
If there is a 0 at the end of a decimal then you can drop it.
Step-by-step explanation:
Taking any two points through which the line passes;(-10,-3) and (-5,-1)
The equation of the line is given by
=> 5y+15 = 2x+20
=> 5y =2x+5
option C
<h2><u>Answer (d</u>) :</h2>
These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :
Given :
In triangle 1 and 2 :
- A side in triangle 1 and a side in triangle 2 are equal.
- Another side in triangle 1 and triangle 2 is equal.
- The angle between the equivalent sides is also equal.
Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.
