we know its diameter is 12, thus its radius must be half that, or 6.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi 6^2\implies A=36\pi \implies A\approx 113.097](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%206%5E2%5Cimplies%20A%3D36%5Cpi%20%5Cimplies%20A%5Capprox%20113.097)
Answer:
b = 4
Step-by-step explanation:
The given expression is
Cos (11b + 2) = Sin (12b - 4)
Since, Sin(θ) = Cos(90 - θ)
Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]
Where 0 < b ≤ 90°
11b + 2 = 90 - (12b - 4)
11b + 2 = 94 - 12b
11b + 12b + 2 = 94 - 12b + 12b
11b + 12b + 2 - 2 = 94 - 2
23b = 92

b = 4
Therefore, b = 4 will be the answer.
By definition, the area of a rectangle is given by:
A = (width) * (long)
Substituting values we have:
750 = (y-5) * (y)
Rewriting we have:
750 = y ^ 2 - 5y
y ^ 2 - 5y - 750 = 0
Answer:
An equation that can be used to solve for And the length of the room is:
y ^ 2 - 5y - 750 = 0
Answer:
Yes he will have enough money to pay for the gift, and with that said, he will pay $23.10.
Step-by-step explanation:
All you have to do here is multiply 22 by 5%, which will get you 1.1, then you just add the 1.1 onto the $22 and you will have the total amount he has to pay.
Answer:
There are two points of intersection
(-4,1) and (1,-4)
Step-by-step explanation: