Answer:
The simple pendulum should be 15.9 m long.
Step-by-step explanation:
Approximately (for small amplitudes), the period of a simple pendulum is
T = 2*pi * sqrt (L/g), L=length
using pi = 22/7, and g=9.8 m/s^2
8 = 2* 22/7 * sqrt(L/9.8)
solve for L
L = (8*7/(2*22))^2 * 9.8
= 15.874 m
That's quite a long pendulum!
Answer:
7560.
Step-by-step explanation:
There are 9 letters after the M consisting of 3 O's, 2 H's, 2 H's and 2 E's.
So the number of ways is 9! / (3!*2!*2!*2!)
= 362880 / (6*2*2*2)
= 362880 / 48
= 7560.
Answer:
Velocity of jet in still air is 800mph hour and velocity of wind is 180mph
Step-by-step explanation:
Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.
#Jet's velocity against jet-stream is:

#Jet's velocity with jet-stream:

#The velocity against jet-stream is x-y and with jet-stream is x+y:

Hence,velocity of jet in still air is 800 mph hour and velocity of wind is 180 mph.
9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).
Answer:
The GCF of 12 and 14 is 2,
Step-by-step explanation:
Use of GCF of 12 and 14
12 14 = 12 2 14 2 = 6 7 .