Answer:
1. .26
2. .29
3. .22
4. .23
Step-by-step explanation:
3.1 ÷ 12 = .26
2.92 ÷ 10 = .29
3.52 ÷ 16 = .22
1.85 ÷ 8 = .23
<em>good luck, i hope this helps :)</em>
Answer:
0.75 cup = 0.1763 liters
Step-by-step explanation:
From the question:
Using the conversion factors given in question
We are converting
0.75 cup to liters
Step 1
Convert cups to pint
1 cup = 0.5 pints
0.75 cup = x pints
x = 0.75 × 0.5 pints
x = 0.375 pints
Step 2
Convert pints to Quart
1 pints = 0.5 quart
0.375 pint = x quart
Cross Multiply
x quart = 0.375 × 0.5 quart
x quart = 0.1875 quart
Step 3
Convert from quart
1 quart = 0.94 liter
0.1875 quart = x liter
Cross Multiply
x liter = 0.1875 × 0.94 liter
x liter = 0.17625 liters
Approximately to 4 significant figures= 0.75 cup = 0.1763 liters
x = x
Consider x. Let x be a quantity denoted in the real numbers equal to x. Now, some properties of the real numbers include closure under the four basic operations.
Answer:
None of these
Step-by-step explanation:
See attached image
Answer:
Step-by-step explanation:
I used calculus for this, as I'm not sure there's any other way to do it and to do it as easily. This is the volume of a solid found by using the disk method of rotation:
![V=\pi\int\limits^a_b {[R(x)]^2-[r(x)]^2} \, dx](https://tex.z-dn.net/?f=V%3D%5Cpi%5Cint%5Climits%5Ea_b%20%7B%5BR%28x%29%5D%5E2-%5Br%28x%29%5D%5E2%7D%20%5C%2C%20dx)
where R(x) is the outer shell of the solid and r(x) is the space inbetween the solid and the axis of rotation. There is no space between the solid and the axis of rotation, so r(x) = 0. R(x) is the height of the solid which is 3. Therefore, f(x) = 3 and that's the function we put into the formula with the lower bound of 3 and the upper bound of 5:
and
and integrating:
and using the First Fundamental Theorem of Calculus:
V = π(9(5) - 9(3)) and
V = π(45 - 27) so
V = 18π units cubed or in decimal format,
V = 56.549 units cubed
