Answer:
32 minutes
Step-by-step explanation:
all you have to do is know that the unit rate is 4 so multiply 8 and 4 to get 32
The line thru (-3,0) and (-6,5) has this slope:
5-0 5
m = ----------- = ------- = - 5/3
-6-(-3) -3
The y-intercept of the desired line is simply (0,0), and so b = 0 and the equation of this line is
y = (-5/3)x
First get the tangent vectors by differentiating r1 and r2

Evaluate at t=0

Use identity for angle between 2 vectors:

Evaluate dot product and unit vectors:

Sub into identity and solve for theta:

Answer:
Angle of intersection is about 79 degrees.
Answer:


Step-by-step explanation:
Represent Celsius with C and Fahrenheit with F.
So, we have:


Solving (a): Represent as a linear equation
First, we calculate the slope:

This gives:



The linear equation is then calculated using:

Where




Make F the subject


Solving (b): The value of F when C = 30
Substitute 30 for C in 



The ratio is - 6:12
(6 boys, 12 girls)