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3 years ago

I need help and the answer to #9

Mathematics

1 answer:

alex41 [277]3 years ago

8 0

perimeter of rectangle = 20+20 +15+15 = 70 yards = 70*3 = 210 feet

210/5 = 42 seconds

Courtney walks it in 42 seconds

the diagonal = 15^s + 20^2 = 225+400=625

sqrt(625) = 25 yards

Natalie walks 20 +15 +25 = 60 yards

60*3 = 180 feet

180 /5 =36 seconds

42 - 36 = 6 seconds faster

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3 years ago

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3 years ago

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kotegsom [21]

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$\displaystyle\int\frac t{t^4+2}\,\mathrm dt=\int\frac{\sqrt y}{2\sqrt y(y^2+2)}\,\mathrm dy=\frac12\int\frac{\mathrm dy}{y^2+2}$

Now let $y=\sqrt2\tan z$ , so that $\mathrm dy=\sqrt2\sec^2z\,\mathrm dz$ . Then

$\displaystyle\frac12\int\frac{\mathrm dy}{y^2+2}=\frac12\int\frac{\sqrt2\sec^2z}{(\sqrt2\tan z)+2}\,\mathrm dz=\frac{\sqrt2}4\int\frac{\sec^2z}{\tan^2z+1}\,\mathrm dz=\frac1{2\sqrt2}\int\mathrm dz=\dfrac1{2\sqrt2}z+C$

Transform back to $y$ to get

$\dfrac1{2\sqrt2}\arctan\left(\dfrac y{\sqrt2}\right)+C$

and again to get back a result in terms of $t$ .

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3 years ago

a person walks 80 feet in 40 seconds. what equation represents this relationship. how many feet will the person walk in 10 secon

larisa [96]

Answer:

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Step-by-step explanation:

$\frac{80 feet}{40 seconds}$ = $\frac{x feet}{10 seconds}$