Its 5/12 you just divide sin by cos to get tan so divide 5/13 by 12/13 and you'll get tan
Answer:
i hope its correct
Step-by-step explanation:
11x + 2y=68 ------------1
5x+y=13 ------------2
y= 13-5x. ------------3
put 3 into 1
11x +2(13-5x) =68
11x +26 -10x =68
x=42
put x =42 into 2
5(42) +y =13
210+y=13
y=13-210
y=197
Answer: D.
a p e x
this is a hard one, I tried my best. let me know in the comments if I am right. :)
Step-by-step explanation:
By definition, the volume of the cone is given by:
V = (1/3) (π) (r ^ 2) (h)
Substituting values we have:
V = (1/3) (π) ((4/2) ^ 2) (5)
V = (20/3) (π)
Then, the volume of the cylinder is:
Vc = 3 * V
Vc = 3 * (20/3) (π)
Vc = 20π
Answer:
the volume of the original cylinder jesse bought is:
Vc = 20π
(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when
and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance
and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

which follows from the definition of absolute value. In particular, if
is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so
is the derivative of
:

Compute the acceleration at
seconds:

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)