9514 1404 393
Answer:
cot(θ) = 4/5
Step-by-step explanation:
In the polar/rectangular coordinate representation (x, y) ⇔ (r; θ), we know that ...
(x, y) = (r·cos(θ), r·sin(θ))
From the various trig definitions and identities, we also know that ...
cot(θ) = cos(θ)/sin(θ) = (x/r)/(y/r) = x/y
For the given (x, y) = (-4, -5), the cotangent is ...
cot(θ) = -4/-5 = 4/5
Answer: 96 ways
In this case, the freshman must take one class each from Science(6 courses), Humanities(4 courses) and Mathematics( 4 courses).
Then to know how many ways she can arrange you just need to multiply the each course count (it would different if she has to take more than one class).
The calculation would be: 6 x 4 x 4= 96 ways.
Answer:
y<−1
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
−3y>3
Step 2: Divide both sides by -3.
−3y
−3
>
3
−3
=y<-1
Answer:
Sam is yeas old, and Dean is (x - 10) year's old, where 'x' is the age of their sister
Step-by-step explanation:
The relationship between the ages of the brothers are;
Sam's age + Dean's age = Their sister's age
Dean's age + 10 = Dean's age + Sam's age
Therefore, we have;
Sam's age = Dean's age + 10 - Dean's age = 10
Sam's age = 10 years
Let 'x' represent their sisters age, we get;
Sam's age + Dean's age = x
10 + Dean's age = x
Dean's age (in variable form) = x - 10
Answer:
4 in 5 days
Step-by-step explanation:
