Answer:
Ф = 
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and 
so these are the solutions to the problem
Answer:
Step-by-step explanation:
Their point of intersection, assuming there is one, will be somewhere on the line y = x. This line, y = x, is the line of symmetry between a function and its inverse. So if the two do in fact intersect, it will be at some point on that line
Answer:
20n
Step-by-step explanation:
One pretzel has 20 calories. Write an algebraic expression for the total number of calories in n pretzels.
1 pretzel = 20 calories
n pretzel = x
Cross Multiply
x × 1 pretzel = n pretzel × 20 calories
x = n pretzel × 20 calories/1 pretzel
x = 20 n
Therefore, an algebraic expression for the total number of calories in n pretzels = 20n
Answer:
2/10
Step-by-step explanation:
Im pretty sure its 2/10
have a great day:)
Answer:
8cm
Step-by-step explanation:
First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square
Area of a semi circle = πr²/2
25.12 = πr²
25.12 = 3.14r²/2
r² = 25.12(2)/3.14
r² = 16
r = √16
r = 4
Get the diameter
d = 2r
d =2(4)
d = 8cm
Hence the length of the side of the square is 8cm
