Answer:
-1333/1000
Step-by-step explanation:
Evaluate tan(sin^-1(-4/5)).
First we need to evaluate the expression in parenthesis
sin^-1(-4/5)
= sin^-1(-0.8)
= -53.13
SUbstitute the given value into the original expression as shown;
tan(sin^-1(-4/5))
= tan(-53.13)
= -1.333
= -1333/1000
Hence the required answer is -1333/1000
Answer:
15*(1+root(3))
Step-by-step explanation:
BD=5, BC=5*root(3), you can find it by using trigonometry.
AC^2=300, AC=10*root(3)
AB^2=225, AB=15.
Perimeter of ABC is AB+BC+CA=15+5*root(3)+10*root(3).
15(1+root(3))
The graph is attached.
Answer:
(-2.2, 4) and (8.2, 4)
Step-by-step explanation:
In an ellipse, there is a minor radius and a major radius.
Let major radius be = a
Let minor radius be= b
From the graph, we are given:
Major radius, a = 6
Minor radius, b = 3
Now, let's find the distance from the center to the focus using the formula:

Substituting values, we have:



≈ 5.2
We can see from the graph that center coordinate is (3, 4). Therefore, the approximate locations of the foci of the ellipse would be:
(3-5.2, 4) and (3+5.2, 4)
= (-2.2, 4) and (8.2, 4)
Because it's perpendicular, you know that they must have the same slope, -3/2. So, just factor that and the point into the slope-point form to get
y = -3/2x