Formula for triangle perimeter is: a + b + c. In this scenario we have:
a = 3 feet 8 inches
b = 2 feet 10 inches
c = 4 feet
a + b + c =
= 3 ft + 8 in + 2 ft + 10 in + 4 ft =
= 9 ft + 18 in
We know that 1 foot is 12 inches, so we can simplify the result to this form:
10 ft + 6 in
or:
<u>10.5 feet</u>
Answer:
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The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
<h3>How to calculate compound interest's amount?</h3>
If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

The final amount becomes:

For the considered case, we're given that:
- Initial amount Laura deposited = $5,500 = P
- Type of interest: Compound interest
- Unit of time: Annually
- Rate of interest = 1.6% annually = R
- Total unit of time for which amount is to be calculated: 4 years = T
The final amount at the end of 4 years in the considered account of Laura is evaluated as:

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)
Learn more about compound interest here:
brainly.com/question/11897800
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014