now, by traditional method, as "x" progresses towards the positive infinitity, it becomes 100, 10000, 10000000, 1000000000 and so on, and notice, the limit of the numerator becomes large.
BUT, notice the denominator, for the same values of "x", the denominator becomes larg"er" than the numerator on every iteration, ever becoming larger and larger, and yielding a fraction whose denominator is larger than the numerator.
as the denominator increases faster, since as the lingo goes, "reaches the limit faster than the numerator", the fraction becomes ever smaller an smaller ever going towards 0.
now, we could just use L'Hopital rule to check on that.
notice those derivatives atop and bottom, the top is static, whilst the bottom is racing away to infinity, ever going towards 0.
Answer:
y = -3, -4
Step-by-step explanation:
Formula is (b/2)^2
So...
(y+7/2)^2 - 1/4 = 0
Add 1/4 to each side
(y+7/2)^2 = 1/4
Square root...
y+7/2 = +-1/2
Add
y = -3, -4
The probability for a boy is 8/12 and the girls is 4/12 so that's a 4/12 diffrence
We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)
sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44
Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22
The height of the tree is 29.22 feet.
<h3>
Answer:</h3>
a=45
<h3>
Solution:</h3>
- We need to multiply both sides by 3 in order to get rid of the denominator, 3:
- 2/3a•3=30•3
- 2a=90
- Divide both sides by 2:
- a=45
Hope it helps.
Do comment if you have any query.
