"One rotation" would be the circumference of the wheel, which is
C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.
1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches
Here "inches" cancels out and you are left with (4/3)pi ft.
So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.
Divide this into 700 feet:
700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4
You can use substitution here. First, get y alone:
14x + y = -4
subtract 14x from each side
y = -4 - 14x
Then, plug y into the second equation
-4 - 14x = 3x² - 11x - 4
then solve from there
Hope this helps :)
Answer:
b>3.133333333
Step-by-step explanation:
13/5<b-8/15
13/5+8/15<b
39+8/15<b
47/15<b
3.13333333<b
b>3.13333333
<h3>
Answer: -a > -b</h3>
Explanation:
Let's go over an example.
We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.
The corresponding opposites are: -a = -1 and -b = -7
The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b
Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.
In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.
Answer:
Step-by-step explanation:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
