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julsineya [31]
3 years ago
7

Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how m

any square feet of space she will have to use. Calculate the area of her garden from the picture below.
please show your work/how you got your answer :)​

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer: 439,824 ft

Step-by-step explanation: the | means it is equal to so there is one on 7ft so the one without a number will be 7ft

Area is LxW

so 7x6x8x11x17x7=439,824

not sure if it’s correct tho but i guess I helped  

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Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1
Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

x'=\frac{dx}{dt}

a)  x’=t–sin(t),  x(0)=1

dx=(t-sint)dt

Apply integral both sides:

\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k

where k is a constant due to integration. With x(0)=1, substitute:

1=0+cos0+k\\\\1=1+k\\k=0

Finally:

x=\frac{t^2}{2} +cos(t)

b) x’+2x=4; x(0)=5

dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\

Completing the integral:

-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}

Solving the operator:

-\frac{1}{2}ln(4-2x)=t+k

Using algebra, it becomes explicit:

x=2+ke^{-2t}

With x(0)=5, substitute:

5=2+ke^{-2(0)}=2+k(1)\\\\k=3

Finally:

x=2+3e^{-2t}

c) x’’+4x=0; x(0)=0; x’(0)=1

Let x=e^{mt} be the solution for the equation, then:

x'=me^{mt}\\x''=m^{2}e^{mt}

Substituting these equations in <em>c)</em>

m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i

This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>

x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)

Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:

x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}

Finally:

x=\frac{1}{2} sin(2t)

7 0
3 years ago
James wants to send two gifts by mail. One packages weighs 2 3/4 pounds. The other package weighs 1 3/4 pounds. What is the tota
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What is the value of the underligned digit in 5436788
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Which is the underlined digit?
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The hole for a support post needs to be 6 feet deep. It is currently 1 foot 8 inches deep. How much deeper must the hole be? Jus
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Montel Edwards bought a 20-oz package of ham for $8.75. He can buy a 3-ib package of ham for $15.60. How much will he save per o
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C. 11.3 cents per ounce

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3 0
3 years ago
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