We can solve this by drawing a triangle with three points. The first point at Fort Collins (F), the second at Cheyenne (C) and the third at Laramie (L).
The angle at F = 46.5, the angle at L = 43.6. We know the side opposite angle L = 3.2 (side FC), now we must solve for the side opposite angle F (side LC).
We can use the law of sines to solve this where:
sinA/a = sinB/b
sin43.6/ 3.2 = sin46.5/LC
LC = 3.2 (sin46.5/sin43.6)
LC = 3.37 inches
We are told 1 in = 10.6 miles, therefore:
3.37 inches x 10.6 miles/in = 36 miles from Laramie to Cheyenne.
Answer:
Step-by-step explanation:
1)Population of Interest : All UC Berkeley Undergraduates
Sample : 129 UC Berkeley Undergraduates
2)
Can the results of the study be generalized to the population of interest?
No, because the sample is not representative of the population since it consists of only UC Berkeley undergraduates.
3)
No, because the the study is observational.
Answer:
$340
Step-by-step explanation:
85 x 4 = 340.
Because 85 = 1/4, 4/4 = 85 x 4 = 340
Answer:
y = - 3x + 16
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 
x + 8 ← is in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - 3, so
y = - 3x + c ← is the partial equation of the perpendicular line
To find c substitute (6, - 2) into the partial equation
- 2 = - 18 + c ⇒ c = - 2 + 18 = 16
y = - 3x + 16 ← equation of perpendicular line
