3 years ago

To the nearest hundredth, what is the surface area that will be painted?

Mathematics

2 answers:

bearhunter [10]3 years ago

4 0

This is easy, 6.5 in

Aleksandr-060686 [28]3 years ago

3 0

Answer:

6.5in

Step-by-step explanation:

find the area of the shaded regions

fine the surface area of the square

A = 2×2

A = 4

find the area of the triangle

A = 1/2bh

A = 1/2×2×2.5

A = 2.5

add the areas

2.5+4 = 6.5

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What is the nth term of the geometric sequence that has a common ratio of 6 and 24 as it’s third term?

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$\bf \begin{array}{ccll}
n&term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
1&a_1&a_1\\
2&a_2&6a_1\\
3&a_3&6(6a_1)\\
&&36a_1
\end{array}\implies \stackrel{\textit{3rd term is 24}}{36a_1=24}
\\\\\\
a_1=\cfrac{24}{36}\implies a_1=\cfrac{2}{3}$

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=6\\
a_1=\frac{2}{3}
\end{cases}
\\\\\\
\boxed{a_n=\cfrac{2}{3}\cdot 6^{n-1}}$

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Step-by-step explanation:

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