The wide of the model should be approximately 5.194 inches
Step-by-step explanation:
You are building a scale model of a fishing boat
- The boat is 62 ft long
- The boat is 23 ft wide
- The model will be 14 in long
We need to find how wide should it be
∵ The boat is 62 feet long
∵ The model of the boat is 14 inches long
- That means 14 inches represents 62 feet
By using the ratio method
→ Actual (ft) : Model (in)
→ 62 : 14
→ 23 : x
By using cross multiplication
∵ 62 × x = 23 × 14
∴ 62 x = 322
- Divide both sides by 62 to find x
∴ x ≅ 5.194
∵ x represents the wide of the model
∴ The wide of the model is approximately 5.194 inches
The wide of the model should be approximately 5.194 inches
Learn more:
You can learn more about the scale drawing in brainly.com/question/570757
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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:
haha
Step-by-step explanation:
