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SCORPION-xisa [38]
3 years ago
12

An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 210 feet of antiqu

e picket fencing are to be used to enclose the​ garden, find the dimensions of the garden.
Mathematics
1 answer:
ra1l [238]3 years ago
7 0

P=Perimeter

W=Width

L=Length  

Assuming the 210 feet is the perimeter

P = 210 feet

P = 2W + 2L  

W = 2/3 L . . . so sub W with 2/3 L in the equation  

P = 2(2/3 L)+ 2(L) = 210 feet

4/3 L + 2L = 210 feet

10/3 L = 210 feet

Multiply both sides by 3/10 to solve for L

L = (210)(3/10) = 63 feet

W = 2/3 L so W = 2/3 x 63 = 42 feet  

Garden is 42 feet wide by 63 feet long

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\bf h(t)=-16t^2+64t+0\implies h(t)=-16t^2+64t\implies \stackrel{\textit{hits the ground}~\hfill }{0=-16t^2+64t} \\\\\\ 0=-16t(t-4)\implies t= \begin{cases} 0\\ \boxed{4} \end{cases}

Check the picture below, it hits the ground at 0 feet, where it came from, the ground, and when it came back down.

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A city has a population of 230,000 people. Suppose that each year the population grows by 9%. What will the population be after
zloy xaker [14]

<u>Answer:</u>

<h2><u>385,733</u></h2>

Step-by-step explanation:

If it grows by 9% each year, you can simply do the current population times 109%. Because its an additional 9%.

230,000*109% = 250,700

After the first year, there is a population of 250,700 people.

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After the second year, there is a population of 273,263 people.

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After the third year, there is a population of 297,856.67 people.

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After the fourth year, there is a population of 324,663.77 people.

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After the fifth year, there is a population of 353,883.509 people.

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After the sixth year, there is a population of 385,733.025 people

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