Answer:
$36.8
Step-by-step explanation:
Answer: 86.6ft closer to the ground.
Step-by-step explanation:
The diameter of the wheel is 200ft
Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.
Initially, the seat is at the same level that the center of the wheel.
And the distance between the center of the wheel and the bottom is the radius.
Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=
Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)
And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:
y = sin(-60°)*R
y = sin(-60°)*100ft = -86.6ft
So the seat is 86.6ft closer to the ground.
The new height of the water is = 9.34 inches (approx)
Step-by-step explanation:
Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.
Let the new height of water level be x inches.
The volume of the container = (20×16×12) cubic inches
=3840 cubic inches
According to the problem,
3840 - (20×16×x) = 850
⇔3840 -320x = 850
⇔-320x =850-3840
⇔-320 x = -2990
⇔x = 9.34 inches
The new height of the water is = 9.34 inches (approx)
PART A :OK so here is the table for the health inspector; all you are really doing is 7+7+7, and so on:
PART A: health inspector: 7,14,21,28,35,42,49,56,63,70,77,84..........
PART A:same thing for the fire inspector, except this time your adding 12+12+12, and so on:
PART A: fire inspector: 12,24,36,48,60,72,84,96.......
PART B: and to figure out what day they will both come is you have to find the LCM (least common multiple)
PART B: which in this case is Day 84
hopes this helps!!!!!
The equation should look like :
[H+] = (1-a)(x) + (a)(y)
Where:
5.8 = -log [H+]
5.0 = -log x
6.9 = -log y
(1-a) = proportion of x
<span>a = proportion of y
so calculating a will give you the result of how many ounces are required</span>
