Answer:
Step-by-step explanation:
2/cos^2(theta) - sin^2(theta)/cos^(theta) = p
(2 - sin^2(theta) ) / cos^2(theta) = p
cos^2(theta) = 1 - sin^2(theta) Relationship between sines and cosines
2 - sin^2(theta)/ (1 - sin^2(theta) ) = p Everything is now in terms of sines
sin^2 (theta) = 1 / csc ^2 (theta) sin^(theta) = 1/csc(theta)
2 - 1/csc^2(theta) Make Left over csc(theta)
============== = p
1 - 1/csc^2(theta)
2 csc^2(theta) - 1
------------------------
csc^2(theta)
================ = p Cancel out denominators (csc^2(theta))
csc(theta) - 1
-------------------
csc^2(theta)
2 csc^2 (theta) - 1
=============== = p Multiply both sides by csc^2(theta) - 1
csc^2(theta) - 1
2csc^2(theta) - 1 = p*csc^2(theta) - p Collect csc^2(theta) on the left, p on the right.
csc^2(theta) (2 - p) = 1 - p
csc^2(theta) = (1 - p)/(2 - p)
Answer:
y = 4
Step-by-step explanation:
y - 1 = √y + 5
(y - 1)² = y + 5 (Square both sides)
y² - 2y + 1 = y + 5 (Expand left side)
y² - 3y - 4 = 0 (Subtract y and 5 from both sides)
(y + 1) (y - 4) = 0 (Factor)
y = -1, 4 (Use ZPP)
When we check y = -1 we see that it is not a solution so the answer is y = 4.
Given:
Diameter of ball = 8 cm
To find:
The volume of the ball.
Solution:
We know that the radius of sphere is half of is diameter.
It is given that the the diameter of ball is 8 cm. So, the radius of the ball is:
The radius of the ball is 4 cm.
The volume of a sphere is:
Where r is the radius of the sphere.
Putting in the above formula, we get
Therefore, the volume of the ball is about 267.95.
Answer: it should be G if my math is correct
Step-by-step explanation: Can you mark brainliest?
So, for this one, you can do this one of two ways:
Either 39+(39*.0725)
Or 39*1.0725
Either way, answer is 41.8275 or $41.83