Remark
<u>Two facts.</u>
1) Tan(x) = Sin(x) / Cos(x)
2) Csc(x) and Sin(x) are reciprocal relationships. When multiplied together, they equal 1.
Solution
So Csc(x) * tan(x) = csc(x) * sin(x) / cos(x) = 1/cos(x) = sec(x)
So far what we have is tan^2(x) + sec(x). We have to get rid of tan^2(x)
Use the identity of 1 + tan^2(x) = sec^2(x)
tan^2(x) = sec^2(x) - 1
sec^2(x) - 1 + sec(x)
a^2 + a - 1 <<<<<< Answer
B is the answer.
The largest radius for the swimming pool is 15.1 feet
Step-by-step explanation:
Step 1:
Circumference of the circular swimming pool built by Dan = 95 feet
We need to determine the largest radius for the pool.
Step 2 :
Circle's circumference is given by 2πr
Where r represents the radius
This shows that the radius is in direct proportion to the circumference. Hence the radius corresponding to the maximum circumference will be the largest possible radius
So we have 2πr = 95
=> r = 
=> r = 
× 
where 
=> r = 15.1 feet (rounded off to tenth of a foot)
Step 3 :
The largest radius for the swimming pool is 15.1 feet
You simply multiply the two and distribute to solve. I am starting with t(x) because I think it is easier.
(x+4)*(2x^2+3x-4)
2x^3+3x^2-4x+8x^2+12x-16 (distribute)
2x^3+11x^2+8x-16 (combine like terms)
I'm pretty sure that you multiply 10x by 6. Since it is length by width those are the length and the width.
Glad I could help!
Answer:
d. 15-(-18)
Step-by-step explanation:
Take the second point and subtract the first point
15 - (-18)
15 + 18
33
