<h3>Hello There!!</h3>
<u>Given</u>
Perimeter = (32x + 8)
<u>To </u><u>Find</u>
Length of the Patio
<u>We Know,</u>
<h3>Hope this helps!!</h3>
(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: a. 1734 b. 477000
Step-by-step explanation:
We know that,
Distributive property : a(b+c) = ab+ac
a. 17 x 102
= 17 (100+2)
= 17 x 100 + 17 x 2 [Distributive property ]
= 1700+34
= 1734
b. 477×1035 -477×35
= 477 (1035-35) [Distributive property ]
= 477 (1000)
= 477000
3/5 = 6/10 (which is 60%) 100% - 60% = 40%
