Answer:
Volume of a cylinder = 653.12 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
Height, h = 13 cm
Radius, r = 4 cm
π = 3.14
Volume of a cylinder = πr²h
= 3.14 × (4cm)² × 13 cm
= 3.14 × 16 cm² × 13 cm
= 653.12 cm³
Volume of a cylinder = 653.12 cm³
Answer: A triangle can either be... an
Acute-angled triangle.
Obtuse-angled triangle.
Right-angled triangle.
Step-by-step explanation: Here is an image of each type of triangle based on its angles.
Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)
18/24 = 63/x...18 width to 24 length = 63 width to x length
cross multiply
(18)(x) = (24)(63)
18x = 1512
x = 1512/18
x = 84 inches <===
Answer:
6 photos more if you use the fast printer
30 photos
Step-by-step explanation:
To figure out the answer, it will be much easier to figure out how many pages each printer can print in 1 minute. For the office printer, we need to divide both numbers by 12.5. This means that the office printer can print 2 pages per minute.
Do the same thing for the home printer. We need to divide both numbers by 6. This means that the home printer can print 2.5 pages per minute.
The home printer is indeed faster.
Now, we need to figure out how many more pages can the home printer print in 12 minutes. In 12 minutes, the office printer can print 24 pages. In 12 minutes, the home printer can print 30 pages. The difference in the number of pages between the faster printer and the slower one within 12 minutes is 6 pages.
