Answer: The correct option is (D) pie.
Step-by-step explanation: We are to select the correct number that produces an irrational number when multiplied by pie.
We know that if one of number is a non-zero rational number, then for the product to be irrational, we must have the other number irrational.
Give number is 2/5, which is rational. So the other number must be irrational.
Out of the given options, first three numbers are rational.
Only the last number pie is irrational. Because, the digits after the decimal are non-repeating and non-terminating.
So, the product will be irrational, if the other number is pie.
Thus, the correct option is (D).
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
(-3) + (-5) + 9
(-3) + (-5) = -8
-8 + 9
= 1
Is something missing
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Answer:
V = 6 in ^3
Step-by-step explanation:
The formula for volume is
V = Bh where B is the area of the base
The base is a triangle and the height is 2 inches
B = 1/2 bh where b is 3 and h is 2
B =1/2 (3)*2 = 3 in^2
V = 3 *2
V = 6 in ^3
