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alex41 [277]
1 year ago
8

The question is above. I posted a pic. Pls help

Mathematics
1 answer:
AleksandrR [38]1 year ago
8 0

A petal in the third quadrant is generated when r is negative.

\begin{gathered} \text{ On the interval (}\frac{\pi}{6},\frac{\pi}{3})\text{ ,} \\ \cos (3\theta)\in\lbrack0,-1\rbrack \end{gathered}

Therefore,

r=6\cos (3\theta)\text{ is in \lbrack{}0,-6\rbrack on the interval (}\frac{\pi}{6},\frac{\pi}{3})

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A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the
vovangra [49]

Answer: (A) A=300l-l^{2}

               (B) Length varies between 1 and 150

               (C) Largest area is 22500ft²

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

2l+2w=600

Area of a rectangle is calculated as

A=lw

Now, we have a system of equations:

2l+2w=600

A=lw

Isolate w, so we have l:

2w=600-2l

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) <u>Function of area in terms of length is given by </u><u>A = 300l - l²</u>

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

<u>The largest area the fence can enclose is </u><u>22500ft².</u>

4 0
2 years ago
Simplify.
Citrus2011 [14]
First I'd expand the brackets so that you can re-simplify the values, so:
(2x + 3)(3x + 4)
6x^2 + 9x + 8x + 12
6x^2 + 17x + 12
The answer A. 2x(3x + 4) + 3(3x + 4) can be simplified the same way, with 6x^2 + 8x + 9x + 12, and so the answer is A. I hope this helps!
3 0
3 years ago
Read 2 more answers
Look at the photo pick A B C D either one explanation not needed thank you! &lt;3
elena55 [62]

Answer:

A?

Step-by-step explanation:

8 0
3 years ago
Use the rules to evaluate or simplify. Write without negative exponents.
zhannawk [14.2K]
(y^-5) / (y^-2)
Flip fraction and get rid of the negative from the exponents (you can do that!)
(y^2) / (y^5)
(y * y) / (y * y * y * y * y)
Cancel y's
1 / (y * y * y)
1 / (y^3)

That's your answer.
Have an awesome day! :)
7 0
3 years ago
The cost of 4 bicycles at $165 each plus the cost of 3 tricycles at <br> $54 each
IrinaK [193]

Answer:

$822

Step-by-step explanation:

4*165+3*54=822

good luck

6 0
3 years ago
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