the answer is b shift 2 cause the mean of shift to equals 40.4
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
Answer:
The correct answer is 2 inches.
Step-by-step explanation:
Let l inches and w inches be the length and width of a rectangle respectively.
According to the given problem, l - 8 =
.
Area of the rectangle is given to be, according to the question, 18 square inches.
Thus l × w = 18
⇒ l × (2l - 16) = 18
⇒ 2
- 16l - 18 = 0
⇒
- 8l - 9 = 0
⇒ ( l - 9) ( l + 1) = 0
The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.
Width of the rectangle is 2 inches.
Answer:
so sorry
Step-by-step explanation:
wish I could help but I don't know how to do it
Answer:
Mrs. B's age = y = 38 years
her son's age = x = 8 years
Step-by-step explanation:
To Find:
Mrs. B's age = y =?
her son's age = x = ?
Solution:
Let Mrs. B's age be 'y' years
and her son's age be 'x' years
Three years ago Mrs B's will be (y - 3) and her son's age will be (x - 3)
According to the first given condition,
y = 6 + 4x ...............Equation ( 1 )
According to the second given condition,
(y - 3 ) = 7 (x - 3 )..........Equation ( 2 )
equating equation 1 in equation 2 we get
6 + 4x -3 = 7x - 21
7x - 4x = 21 + 3
∴ 
Now substitute x in equation 1 we get
y = 6 + 4×8
y = 6 + 32
∴ y = 38 years
Mrs. B's age = y = 38 years
her son's age = x = 8 years