Answer:
12/18 cups or 2/3 cups
Step-by-step explanation:
1/2 * 9 = 9/18
1/18 cup to make one cupcake
A fraction x/y is a ratio between two numbers x and y.
The ratio is preserved if both x and y are scaled up or down by the same number n.
This means you can obtain any fraction equivalent to x/y by multiplying both x and y by n, i.e. (n*x)/(n*y).
Then we have 1/4 = (2*1)/(2*4) = 2/8, for example.
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: 3.83
Step-by-step explanation:
(2.24)(1.71)
=3.83
I think you just simply solve it
Answer:
The answer to your question is 7:6
Step-by-step explanation:
Data
Number of red marbles = 28
Number of green marbles = 30
Number of yellow marbles = 24
Radio = ?
Process
1.- Write the ratio
Red marbles : Yellow marbles
2.- Substitution
28 : 24
3.- Simplification
-Divide both terms by 2
14 : 12
-Divide by two both terms
7 : 6
-It is not possible to simplify more.
