Answer:
or 
.
Step-by-step explanation:
How are tangents and secants related to sines and cosines?
.
.
Sticking to either cosine or sine might help simplify the calculation. By the Pythagorean Theorem, 
. Therefore, for the square of tangents,
.
This equation will thus become:
.
To simplify the calculations, replace all 
with another variable. For example, let 
. Keep in mind that 
.
.
.
Solve this equation for 
:
.
.
.
Given that 
, 
is the only possible solution.
,
, where 
(i.e., 
is an integer.)
Given that 
,
.
or 
. Accordingly,
or .
The solution would be like this for this specific problem:
Volume of a cylinder = pi * r^2 * h
Volume of a cone = 1/3 * pi * r^2 * h
Total Height = 47
Height of the cone = 12
Height of the cylinder = 35
If the top half is filled with sand, then:
volume (sand) = pi * 4^2 * 36
volume (cone) = 1/3 * pi * 4^2 * 12
Total volume = 1960.353816 cubic millimeters
353816 / (10 * pi) = 62.4 seconds.
It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 500$
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
4 and 6
Step-by-step explanation:
2(2x-4)+2(2x-2)=20
4x-8+4x-4=20
8x-12=20
8x=32
32/8=4
X=4
It’s 58 because the length is increasing by 14
