Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.
Answer:
Step-by-step explanation:
Sorry not sorry I really need the points
Answer:
80%
Inverted = 125%
Step-by-step explanation:
Simplify the fraction to the most simpliest number, which is 4/5. 4/5 = 80%.
If it’s inverted (as in 60/48), the most simpliest number is 5/4. 5/4 = 125%.
Answer:
x = 24
Step-by-step explanation:
Firstly, isolate x by adding 2 to both sides.
9 = 3/8x
Then, multiply 8 to both sides.
72 = 3x
Then, divide both sides by 3.
24 = x
Answer:
13.41 cm
Step-by-step explanation:
The radius, height, and HALF of vertical angle makes a triangle.
Where
Radius will be the base of the triangle
Height will be the "height" of the triangle
Top angle will be HALF of vertical angle (40/2 = 20)
From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.
<em>Which trig ratio relates opposite and adjacent? Yes, that is TAN. Thus we can write:</em>
Tan(20) = opposite/adjacent
Tan(20) = 30/h
h = 30/Tan(20)
h = 13.41
So
The height of the cone would be around 13.41 cm
