So here. I don't know how to explain so-
Answer:
$12.09
Step-by-step explanation:
formula; Y= kx
where; y = $24.18
x = 2 books
k = constant of proportionality
Step 1. Do the equation based on the data given
Y = kx
$24.18 = k2
Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.
<u>24.18 =k2</u>
2
k = $ 12.09 is the constant of proportionality cost in dlooars per book
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
<span>After 1 hour, the diving bell was -1/2 mile relative to sea level.
Since the rate of decent is constant, we can use two ratios to represent the depth at 2 different times. To make things easier to write, I'll use decimals to represent time and depth.
-.75 / 1.5 = x / 1
Now solve for x
-0.5 = x
So after 1 hour, the diving bell was -1/2 mile relative to sea level.</span>
Answer:
100 revolitions
Step-by-step explanation:
180s = 3min
50s = 1min
50 * 2 = 100
