Answer: F
Step-by-step explanation:
For a 30-60-90 triangle, we know that the hypotenuse is 2x. Since we know the hypotenuse is 10, we can solve for x.
2x=10
x=5
Now that we know x is 5, we can use this to solve for s and q. The side across from 30° is just x. Since we know x, s is 5.
The side across from 60° is x√3. Since we know what x is, we can just plug in. q is 5√3.
Answer: -1/2 and 1/3
Step-by-step explanation:
It's hard to type and hard to read the "inverse tangent" function, as you've seen (above).
So, use "arctan x" instead.
Then the problem becomes: "differentiate cos (arctan x)."
You must apply first the rule for differentiating the cosine function, and next apply the rule for differentiating the arctan function:
(d/dx) cos (arctan x) = - sin (arctan x) * [1/(1+x^2)]
Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3
