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ohaa [14]
2 years ago
14

A grassy space is 6ft by 8 ft. The town wants to add a walking track around this space. If the total area is to be 71 square fee

t, what should be added to each side of the grassy space
Mathematics
1 answer:
dalvyx [7]2 years ago
7 0

Answer:

5.75 ft on each side

Step-by-step explanation:

6ft*8ft=48ft

71ft-48ft=23ft

23-4=5.75ft

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(-5/3)•(-6/1)=(30/3)
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If sinA =3/5 and A+B =90 find cosB
-Dominant- [34]

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Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1

Other method:

Look at the picture.

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3 years ago
Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

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We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

This implies that

{( {r}^{2} )}^{2}  = 4(( { r \cos\theta)  }^{2} -  {(r \sin\theta) }^{2}  )

Let us evaluate the exponents to get:

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Factor the RHS to get:

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Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

Apply the double angle identity

\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

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