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3 years ago

The length of a rectangle is 4 more than its width. The area of the rectangle is 21m^2 . What is the measure of the width?

1 answer:

5 0

Make the length x+4 and the width x and then make a formula x(x+4)=21
then u ll get x^2+4x-21=0 and then solve for x ..... the width is 3

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dalvyx [7]

Answer:

$SinA = \frac{84}{85}$ and $CosA=\frac{13}{85}$

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

$Sin A = \frac{Opposite}{Hypotenuse}$ , and

$CosA = \frac{Adjacent}{Hypotenuse}$

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

$Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}$

$CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}$

The correct answer is the first answer choice.

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mrs_skeptik [129]

Answer:

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3 years ago

Find the first five terms of each geometric sequence described <br><br> A1=1 R=4

xenn [34]

$\bf n^{th}\textit{ term of a geometric sequence}
\\\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
r=\textit{common ratio}\\
a_1=\textit{first term}\\
-------\\
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r=4
\end{cases}\\\\
-----------------------------\\\\
$

$\bf \begin{array}{ccllll}
term&value\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
1&a_1=1\\
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3&a_3=a_1\cdot 4^{3-1}\\
4&a_4=a_1\cdot 4^{4-1}\\
5&a_5=a_1\cdot 4^{5-1}\\
\end{array}$

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3 years ago

What is the domain and range for f(x)=x^2+8

Vladimir79 [104]

Domain is (-infinity, infinity)
Range is [8, infinity)

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3 years ago

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