Hello!
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
66
Step-by-step explanation:
the order of operations is the acronym PEMDAS which stands for:
P: Parentheses
E: Exponents
M & D: Multiplication and Division
A & S: Addition and Subtraction
we do these in order, from left to right in the equation
for the equation (14 - 8) x (15 - 4), we would start with solving the parentheses
there are 2 sets of parentheses, so we will go from left to right in solving it:
(14 - 8) = 6
(15 - 4) = 11
we replace the values we have found from the parentheses into the equation
6 x 11
now we go through the list
we can already eliminate exponents because there are none in this equation
the next step is multiplication & division, in this equation there is only multiplication, so we multiply 6 x 11 which gives us the answer 66
there is nothing left for us to do at this point, so 66 is our final answer
Answer: The closest answer I got is 9 5/6 hours
Answer:
a:b
3:7
Step-by-step explanation:
a:b also means a/b
Taking the equation
7a = 3b
Dividing each side by b
7a/b = 3b/b
7 a/b = 3
Divide each side by 7
a/b = 3/7
The ratio is 3/7
a:b
3:7
