Answer:
N = 18
Step-by-step explanation:
The triangles are similar, thus the ratios of corresponding sides are equal, that is
= ( cross- multiply )
5N = 90 ( divide both sides by 5 )
N = 18
Answer:
A. On the first day, 3 leaves fall.
B. D. The number of leaves that fall on a given day is 2 times the number of leaves that fell on the previous day.
Step-by-step explanation:
Given
Solving (a) The meaning of 3.
3 represents the initial number of leaves (i.e. the first day) and this proved as follows.
On the first day, n = 0.
Substitute 0 for n in
Solving (b) The meaning of 2.
2 represents the rate which leaves fall down.
In (a)
Take n = 1
Substitute 1 for n in
When f(1) is divided by f(0), the result 2. So, the number of leaves doubles everyday
Answer:
Smallest to largest
Step-by-step explanation
4/3, square root of 2, 1.423..., pie, 1.666...., square root of 4
We are given with a limit and we need to find it's value so let's start !!!!
But , before starting , let's recall an identity which is the <em>main key</em> to answer this question
Consider The limit ;
Now as directly putting the limit will lead to <em>indeterminate form 0/0.</em> So , <em>Rationalizing</em> the <em>numerator</em> i.e multiplying both numerator and denominator by the <em>conjugate of numerator </em>
Using the above algebraic identity ;
Now , here we <em>need</em> to <em>eliminate (√x-2)</em> from the denominator somehow , or the limit will again be <em>indeterminate </em>,so if you think <em>carefully</em> as <em>I thought</em> after <em>seeing the question</em> i.e what if we <em>add 4 and subtract 4</em> in <em>numerator</em> ? So let's try !
Now , using the same above identity ;
Now , take minus sign common in <em>numerator</em> from 2nd term , so that we can <em>take (√x-2) common</em> from both terms
Now , take<em> (√x-2) common</em> in numerator ;
Cancelling the <em>radical</em> that makes our <em>limit again and again</em> <em>indeterminate</em> ;
Now , <em>putting the limit ;</em>