Answer:
Adding by 4 each time
Step-by-step explanation:
First, distribute 8
8s+24=72
Now, isolate the variable with inverse operations
subtract 24 from both sides
8s=48
Divide by 8 on both sides
s=6
The length of the carpet's side is 11 feet
Step-by-step explanation:
Step 1 :
The area covered by the carpet = 121 square feet
We need to find the length of side of carpet
Step 2 :
Since it is given that the carpet is square, the length of all sides are the same
The area is obtained by squaring the side. Hence to find the side from the given area we need to take the root of the area.
Side² = 121
Therefore side = √121 = 11 feet
Step 3 :
Answer :
The length of the carpet's side is 11 feet
Answer is: B
Step-by-step explanation: correct answer is B
b
2
−a
2
Given, acotθ+bcscθ=p
bcotθ+acscθ=q
⇒p
2
−q
2
=(p−q)(p+q)
=[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]
=[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]
=(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)
=(a
2
−b
2
)(cot
2
θ−csc
2
θ)
=(−1)(a
2
−b
2
)[∵csc
2
θ−cot
2
θ=1]
=(b
2
−a
2
)
