Answer:
A
Step-by-step explanation:
in option B, you are adding the 3 pound plastic box to each cardboard box
in option A, you have 5 separate carboard packages, and one 3 pound plastic box
This [option a] is the diagram that matches the scenario given.
Think of the x's as normal numbers. Let's say the weight of each "x" is 1. [it's not I'm aware that this question is different]
if you have 5 x's, you have
1 1 1 1 1 3
<em>not </em>1+3 ; 1+3 ; 1+3 ; 1+3 ; 1+3
you would only have this if you were to add a 3 pound plastic box to each individual package
I think the answer could be 10 or even 12
First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:
Now, let's add the components of the same direction:
To find the resultant bearing (theta), we can use the formula below:
The angle -86° is equivalent to -86 + 360 = 274°.
Therefore the correct option is b.
Answer: 256
Step-by-step explanation:
8x8=64
64x4=256
Answer: a) An = An-1 + An-2
b) 55ways
Step-by-step explanation:
a) a nickel is 5 cents and a dime is 10cent so a multiple of 5 cents is the possible way to pay the tolls in both choices.
Let An represents the number of possible ways the driver can pay a toll of 5n cents, so that
An = 5n cents
Case 1: Using a nickel for payment which is 5 cents, the number of ways given as;
An-1 = 5( n-1)
Case 2: using a dime which is two 5 cents, the number of ways is given as;
An-2 = 5(n-2)
Summing up the number of ways, we have
An = An-1 + An-2
From the relation,
If n= 0, Ao= 1
n =1, A1= 1
b) 45 cents paid in multiples of 5cents will give us 9 ways(A9)
From the relation, we have that
Ao = 1
A1 = 1
An =An-1 + An-2
Ao = 1
A1 = 1
A2 = A1+Ao = 1+1= 2
A3 = A2 + A1 = 3
A4 = A3+A2=5
A5=A4+A3=8
A6=A5+A4=13
A7 =A6+A5 = 21
A8= A7+A6= 34
A9= A8+A7= 55
So there are 55ways to pay 45cents.
