Cone details:
Sphere details:
================
From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
===========================
To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>
<u>apply chain rule</u>
<u>Equate the first derivative to zero, that is V'(x) = 0</u>
<u />
<u>maximum volume:</u> <u>when h = 40/3</u>
<u>minimum volume:</u> <u>when h = 0</u>
Hello,
1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45
2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198
Answer:
m = 1/2
Step-by-step explanation:
We need to solve the equation:
3/4 = m + 1/4
In order to solve for m, we must isolate the variable - in other words, we need to move all the m terms to one side and all the non-m terms to the other.
So, subtract 1/4 from both sides to isolate m:
3/4 - 1/4 = m
m = 2/4 = 1/2
Thus, m = 1/2.
<em>~ an aesthetics lover</em>
Answer: finding slope (-4, 1), (1,-2) : m= -3/5
Hey there
Lets solve this question together,
Convert <span>76.8%</span><span> to a decimal.
</span>
Multiply 0.768<span> by </span>x<span> to get </span><span>0.768x</span><span>.
</span>
Multiply<span> each </span>term<span> by </span><span>1 / 0.768</span><span> and simplify.
</span>
Cancel the common factor of 0.768.
Divide 40.32<span> by </span>0.768<span> to get </span><span>52.5
</span>
<span>
</span>
