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3 years ago

MATH PLEASE HELP

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

5 0

Answer:

$122.10

Step-by-step explanation:

Note cm is changed to ft

Perimeter of the garden:

P = 2(14 + 23) = 74 ft

The price of fencing:

74*$1.65 = $122.10

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Step-by-step explanation:

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A rectangle has a height of k2 + 3 and a width of k2 + 7.

ElenaW [278]

Answer:

The area of the rectangle in polynomial form is $k^4 +10 k^2 + 21$

Step-by-step explanation:

Given

Shape: Rectangle

$Height: k^2 + 3$

$Width: k^2 + 7$

Required

Area of the rectangle

The area of a rectangle is calculated as thus;

$Area = Length * Width$

By substituting $k^2 + 3$ for height and $k^2 + 7$ for width; This gives

$Area = (k^2 + 3)(k^2 + 7)$

Expand the bracket

$Area = k^2(k^2 + 7) + 3(k^2 + 7)$

Open each bracket

$Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7$

$Area = k^4 +7 k^2 + 3k^2 + 21$

$Area = k^4 +10 k^2 + 21$

Hence, the area of the rectangle in polynomial form is $k^4 +10 k^2 + 21$

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3 years ago

Identify the area of a regular hexagon with side length 14 in. rounded to the nearest tenth.

kakasveta [241]

$\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{4}ns^2\ cot\left( \frac{180}{n} \right)\qquad 
\begin{cases}
s=\textit{length of a side}\\
n=\textit{number of sides}\\
\frac{180}{n}=\textit{angle in degrees}\\
----------\\
s=14\\
n=6\leftarrow hexagon
\end{cases}
\\\\\\
A=\cfrac{1}{4}\cdot 6\cdot 14^2\cdot cot\left( \frac{180}{6} \right)$

make sure your calculator is in Degree mode

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