Answer:
Answer:
n = 1
Step-by-step explanation:
This equation is just basic alegebra. First, combine like terms to get
9 - n = 8n. (Because 3 - 3 = 0, and -4n + 3n = -n.) Now the equation is much simpiler; add n to both sides to get 9 = 9n. Divide 9 by both sides to get that n = 1.
You can check your answer by plugging 1 in for n.
9 - 4(1) + 3(1) = 8(1) + 3 - 3
9 - 4 + 3 = 8 + 3 - 3
5 + 3 = 11 - 3
8 = 8
Therefore, n is proven to equal 1.
Hope this is helpful kid sorry i went very far yesterday hope you can forgive me but Anyways here it is <3
Answer:
1331
Step-by-step explanation:
Im not sure, get a second opinion
Answer:
Dude, where's the picture?
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
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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>


The triangle angle sum theorem states that the 3 angles in the triangle must equal 180 degrees.