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riadik2000 [5.3K]
3 years ago
11

1. In 2005, there were 100 rabbits in Polygon Park. The population increased by

Mathematics
1 answer:
aleksley [76]3 years ago
7 0

The exponential growth formula is y = a(1+r)^x

y = 100(1+.11)^t

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Find The art length of a sector with an area of 8 square units.
frez [133]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\

\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
6 0
3 years ago
What is it a continuous or discrete the length of boat
cluponka [151]

Answer:

discrete

Step-by-step explanation:

3 0
3 years ago
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PLZ HELP What is the mode interval for the histogram? Science Test Scores Frequency No Бел о об - 1 50-59 60-69 70-79 80-89 90-1
Ksju [112]

Answer: You are correct. The mode is between 90 and 100

This is because the tallest bar corresponds to this interval. The mode is the most frequent value.

4 0
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Ede4ka [16]

Answer:

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Of means multiply

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Change to decimal form

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What value of ‘W’ satisfies <br> 8(w+4)=38+7w<br> A. 8<br> B.6<br> C.11<br> D. 4.5
dlinn [17]
B. 6

Explanation: 8(6+4)= 80
38+ 7(6)= 80
5 0
3 years ago
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