Answer:
5.4 m
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the various lengths is ...
cd² = ac² +ad²
cd² = (2.4 m)² + (1.8 m)² = 9.00 m²
cd = √(9.00 m²) = 3.0 m
Since cd = cb and ab = ac+cb, we have ...
ab = 2.4 m + 3.0 m = 5.4 m
_____
You may recognize this as a 3-4-5 right triangle with a scale factor of 0.6. We are asked for the sum of the lengths of the "4" and "5" legs, which is ...
0.6·(4+5) = 5.4
Answer:
y=-50*0.2^x
Step-by-step explanation:
the formula for an exponential function is:
y=a*b^x
what do we multiply -50 by to get -10?
-50x=-10
x=-10/-50
x=1/5
x=2/10
x=0.2
This initial value here is -50, it is the first in the table
y=-50*0.2^x
Diagonals of a parallelogram bisect each other. It is not relevant that PN=9. since AO=4 then AM=4
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = 
S = 480 + 18X
E(S) = 
= 750
Mean of S = 750
Var (S) = 
Var(S) = 
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72
Answer:
4 m/s downwards
Step-by-step explanation:
Velocity is given by dividing the distance by time taken to cover the diatance. Therefore, expressed as v=d/t
The distance is given as 24 m but the time given covers only half the distance. Therefore, the distance is 0.5*21=12 m
Time taken is given as 3 s
Substituting 12 m for d and 3 s for t then
V=12/3= 4 m/s
Velocity must have direction component hence velocity is 4 m/s downwards
