The first step to solving this is to use tan(t) =
to transform this expression.
cos(x) ×
Using cot(t) =
,, transform the expression again.
cos(x) ×
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) ×
Using sin(t)² + cos(t)² = 1,, simplify the expression.
cos(x) ×
Reduce the expression with cos(x).
Lastly,, use
= csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)
Answer:
6N = T
They will take 96 minutes to add 16 seats.
Step-by-step explanation:
In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.
If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.
⇒ N = kT ........... (1)
Now, N = 2 for T = 12 minutes.
So, from equation (1), 2 = 12k
⇒ 
Therefore, the equation (1) becomes 
⇒ 6N = T ......... (2)
Now, for N = 16, from equation (2) we get,
T = 16 × 6 = 96 minutes.
Therefore, they will take 96 minutes to add 16 seats. (Answer)
The volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
<h3>How to find the volume of the composite figures?</h3>
To find the volume of the composite figures, follow the steps listed below:,
- Separate the figure.
- Calculate the volume of each figure by which the composite figure is made of.
- Add the volume of all the individual figures to get the total volume of composite figures.
A pyramid-shaped hip roof is a good choice for a house in an area with many hurricanes. The volume of the roof is:
The volume of the room is:
V=length x width x height
V=40 x 40 x 30
V=48000 ft³
The volume of the entire house, including the roof, is,
V=10667+48000
V=58667 ft³
Thus, the volume of the roof is 10667 cube feet and the volume of the entire house, including the roof, is 58667 cube feet.
Learn more about the volume of composite figures here;
brainly.com/question/1205683
#SPJ1
2y² - 3x² = 6
To put the hyperbola in standard form, divide everything by 6
(2/6)y² - (3/6)x² = 6/6
Standard form:
(1/3)y² - (1/2)x² = 1
hyperbola opens up/down NOT sideways (because its y² -x²).
then the a=√3 and b=√2
(h,k) = (0,0)
Not sure what needs to be done with xy=12
Answer:10,666,66 
m^3
Step-by-step explanation:
V=
