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nadezda [96]
3 years ago
6

Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 24 square feet and no bigge

r than 48 square feet. If the length is 2 feet more than the width, what are the range of possible values for the width?
Mathematics
2 answers:
Julli [10]3 years ago
5 0

Answer: 6 feet to 8 feet

Step-by-step explanation: 6x4=24 8x6=48

Nadya [2.5K]3 years ago
5 0
6x4=24, and 6x8=48
Possible range: 4,6,and 8 .
Hope it helped
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Step-by-step explanation:

3x + 3 = 27

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Igoryamba

Answer:

The curvature is \kappa=1

The tangential component of acceleration is a_{\boldsymbol{T}}=0

The normal component of acceleration is a_{\boldsymbol{N}}=1 (2)^2=4

Step-by-step explanation:

To find the curvature of the path we are going to use this formula:

\kappa=\frac{||d\boldsymbol{T}/dt||}{ds/dt}

where

\boldsymbol{T}} is the unit tangent vector.

\frac{ds}{dt}=|| \boldsymbol{r}'(t)}|| is the speed of the object

We need to find \boldsymbol{r}'(t), we know that \boldsymbol{r}(t)=cos \:2t \:\boldsymbol{i}+sin \:2t \:\boldsymbol{j}+ \:\boldsymbol{k} so

\boldsymbol{r}'(t)=\frac{d}{dt}\left(cos\left(2t\right)\right)\:\boldsymbol{i}+\frac{d}{dt}\left(sin\left(2t\right)\right)\:\boldsymbol{j}+\frac{d}{dt}\left(1)\right\:\boldsymbol{k}\\\boldsymbol{r}'(t)=-2\sin \left(2t\right)\boldsymbol{i}+2\cos \left(2t\right)\boldsymbol{j}

Next , we find the magnitude of derivative of the position vector

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The unit tangent vector is defined by

\boldsymbol{T}}=\frac{\boldsymbol{r}'(t)}{||\boldsymbol{r}'(t)||}

\boldsymbol{T}}=\frac{-2\sin \left(2t\right)\boldsymbol{i}+2\cos \left(2t\right)\boldsymbol{j}}{2} =\sin \left(2t\right)+\cos \left(2t\right)

We need to find the derivative of unit tangent vector

\boldsymbol{T}'=\frac{d}{dt}(\sin \left(2t\right)\boldsymbol{i}+\cos \left(2t\right)\boldsymbol{j}) \\\boldsymbol{T}'=-2\cdot(\sin \left(2t\right)\boldsymbol{i}+\cos \left(2t\right)\boldsymbol{j})

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Answer:

Step-by-step explanation:

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spayn [35]

Answer:

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Step-by-step explanation:

4 0
3 years ago
50 POINTS PLEASE HELP!!!!!!!!!! ALL SH!+Y ANSWERS REPORTED.
NNADVOKAT [17]
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