Answer:
E
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A is not correct. A trapezoid does not have 4 equal sides.
B is not correct. Same reason as A even if the trapezoid is isosceles.
C is not correct. A square has 4 equal sides and 2 sets of parallel lines and 1 right angle. That is not what this figure looks like.
D is the correct answer.
E is incorrect. A rectangle has 2 pairs of equal sides and two sets of opposite sides that are equal and parallel. It also has at least 1 right angle.
The original figure has none of these things.
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>


Answer:
Daniel's Mistake was that she didnt add all the sides
Step-by-step explanation:
She only added the right side of the triangle, and the right and bottom sides of the square. She is missing the left of the triangle, which is another 6x-4, and the left side of the square, which is 12x +3.
Using these sides the answer should look like this,
set up your problem
1) (6x-4)*2 + (12x+3)*2 + (14x+13)
multiply your 2's in
2) (12x-8) + (24x+6) + (14x+13)
simplify
3) 50x + 11 is your answer
6 foot =850
850÷6=141.667
then for 12 section
141.667x 12=1700 or
you find the ratio of 6:12
= 1:2
therefore 2×850=1700