4/6 = 1/x cross multiple so x= 1.5 dollars
A point (-0.8, 0.6) will be a point on the unit circle in the second quadrant. Since it is a unit circle, its radius is 1, and we have
sin(α) = y = 0.6
cos(α) = x = -0.8
tan(α) = y/x = 0.6/-0.8 = -0.75
The angle is α = arccos(-0.8) ≈ 143.13°
______
For the unit circle, the trig values are always the coordinates or their ratio as shown above, regardless of quadrant.
Answer:
0.9
Step-by-step explanation:
Since A and B are independent hence;
P(A∩B) = P(A)P(B)
Given the following
P(A∩B) = 0.27
P(A) = 0.3
Required
P(B)
Substitute into the formula;
P(B) = P(A∩B)/P(A)
P(B) = 0.27/0.3
P(B) = 0.9
Hence the value of P(B) is 0.9
Answer:
The maximum value of the equation is 1 less than the maximum value of the graph
Step-by-step explanation:
We have the equation
.
We can know that this graph will have a maximum value as this is a negative parabola.
In order to find the maximum value, we can use the equation 
In our given equation:
a=-1
b=4
c=-8
Now we can plug in these values to the equation

Now we can plug the x value where the maximum occurs to find the max value of the equation

This means that the maximum of this equation is -4.
The maximum of the graph is shown to be -3
This means that the maximum value of the equation is 1 less than the maximum value of the graph
Answer:
13/4 - (13,4) - however your teacher wants you to write it out.
Step-by-step explanation:
Rise (y) over Run (x)
Equation:
y2 - y1
over
x2 - x1
Inputting the numbers, 6 - -7 (aka 6+7) over -3 - -7 (aka -3+7)
6+7 = 13
-3+7 = 4
13/4 - The line is rising moving towards the right.
Hope I helped!