Answer:
Step-by-step explanation:
Given
--- First Quadrant
Required
Find tan(A)
The sin of an angle is:
and
By comparison:
So, the Adjacent is:
Collect like terms
Take square roots
The tangent of an angle is:
This gives:
Answer: 564480 arrangements
Step-by-step explanation:
First, let's consider the French and English delegates as one party because they will sit next to each other.
So total delegates if French and English are always together comes out to be 9 instead of 10.
Now, they are to sit in a row and can have different seats so the total number of ways they can sit is= 2 x 9!= 725760 ways.
Now, when Russian and U.S delegates are not to sit next to each other so consider similarly like before consider them as one unit like French and English. Now they can also change their seats so number of way for them= 2 x 2 x 8!= 161280 ways
To find out when French and English delegates are together and Russain and U.S delegates are not together we subtract the way from the original value.
725760-161280= 564480 way.
Y - y1 = m (x - x1)
y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)
y - 5 = 1/3 (x - 0)
y - 5 = 1/3x
y = 1/3x + 5
Answer:
f(5) = 75
Step-by-step explanation:
The function is f(x) = 2x^2 + x(100 - 15x).
Evaluate this function at x = 5: replace each instance of x with 5:
f(5) = 2(5)^2 + 5(100 - 15·5)
Order of operations rules require evaluating the expression enclosed in parentheses first. We get:
f(5) = 2(5)^2 + 5(100 - 15·5)
= 50 + (100 - 75), so that:
f(5) = 50 + 25 = 75
f(5) = 75
Let umber of hours in which snowfalls of the both towns become equal = x
Given that rate at which snow depth is increasing in town 1 =
inches per hour
Then amount of snow fall in x hours in twon 1 = 
Given that rate at which snow depth is increasing in town 2 =
inches per hour
Then amount of snow fall in x hours in twon 2 = 
when snow fall becomes equal then we get equation:
0=x
Hence final answer is 0 hours.
