You combine like terms like 8y+13y which gives you 21y and don't forget the -5x so your simplified equation would end up being A. 21 - 5x
____ was planning a birthday party. He/she is planning on inviting 14 people to the party. Each person will be given a goodie-bag at the end of the party. ____ decided that he/she will put 19 gummy worms into each bag. how many gummy worms will ____ need?
The answer to this problem is 266 because 14x19= 266.
the person needs 266 gummy worms if they want to put 19 into each person's goodie-bag
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: - (27/40)
Step-by-step explanation:
-(3/8) / (5/9) is the same as -(3/8) × (9/5)
-((3×9) / (8×5))
-(27/40)
Answer:
C. 
Step-by-step explanation:
Given that A and B are matrices and
is a scalar, then the distributive property of scalar multiplication over addition is given by;

The distributive property of scalar multiplication over subtraction is

The correct answer is C.