3 years ago

Need help on this first column

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

Answer: No idea

Step-by-step explanation:

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If a student stands 15 m away directly west of a tree what is the trees bearing from the students

Galina-37 [17]

Answer:

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Step-by-step explanation:

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Rearrange the steps to solve for the following equation: 2(x-5)=8

OlgaM077 [116]

Answer:

$x=9$

Step-by-step explanation:

$2(x-5)=8$ | Given

$(2x-10)=8$ | Distribute the 2 inside the parentheses

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$2x=18$ | Add. Optional; not included in your question.

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3 years ago

The area of a circular sun spot is growing at a rate of 1,200 km2/s.

Tpy6a [65]

A)

$\bf \textit{area of a circle}\\\\
A=\pi r^2
\\\\\\
\cfrac{dA}{dt}=\pi \cdot 2r\cfrac{dr}{dt}\implies \cfrac{dA}{dt}=2\pi r\cfrac{dr}{dt}\implies \cfrac{\frac{dA}{dt}}{2\pi r}=\cfrac{dr}{dt}\\\\
-----------------------------\\\\
\left. \cfrac{dr}{dt} \right|_{r=3000}\implies \cfrac{1200}{2\pi \cdot 3000}=\cfrac{dr}{dt}\\\\$

B)

$\bf A=\pi r^2\qquad A=490000\implies 490000=\pi r^2\implies \sqrt{\cfrac{490000}{\pi }}=r
\\\\\\
\left. \cfrac{dr}{dt} \right|_{r=\sqrt{\frac{490000}{\pi }}}\implies \cfrac{1200}{2\pi \cdot \sqrt{\frac{490000}{\pi }}}=\cfrac{dr}{dt}
$

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3 years ago