Answer: The first one is = 27.5
1/3 * 25 * 3.3 = 27.5
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.
Answer:
64
Step-by-step explanation:
A square has equal side measurements meaning that each side is 8. To find the area, multiply the length by the width which would be 8 * 8 = 64.
3:5:7:15
?:?:?:180
by using cross multiplication 3×180÷15=36
the measure of the smallest angle is 36°
Solution:
<u>Note that:</u>
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
<u>Using the perimeter of the smaller triangle, solve for x.</u>
- 2(Perimeter of smaller triangle) = Perimeter of larger triangle
- => 2(3.5 + x + h) = 7 + 4 + 2h
- => 7 + 2x + 2h = 7 + 4 + 2h
- => 2x = 4
- => x = 2
The length of x is 2 units.
