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Xelga [282]
3 years ago
14

What's 99 divided by 9,801

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0
                                      __
99 divided by 9801 = 0.01
ra1l [238]3 years ago
3 0

Answer:

The answer is 0.01.

Step-by-step explanation:

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A rectangle has the length of 22 inches less than 7 times the width. If the area of the rectangle is 3197 square inches, find th
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The length of rectangle is 139 inches

Solution:

Given that, area of the rectangle is 3197 square inches

Let "L" be the length of rectangle and "W" be the width of rectangle

Also given that rectangle has the length of 22 inches less than 7 times the width

Length = 7 times width - 22

L = 7W - 22

<em><u>The area of rectangle is given as:</u></em>

\text {Area of rectangle }=\text { length } \times \text { width }

Substituting the values we get,

\begin{array}{l}{3197=(7 W-22)(W)} \\\\ {3197=7 W^{2}-22 W} \\\\ {7 W^{2}-22 W-3197=0}\end{array}

On solving the above quadratic equation using quadratic formula,

\text {For the quadratic equation } a x^{2}+b x+c=0 \text { where } a \neq 0

x=\frac{-b \pm \sqrt{\left(b^{2}-4 a c\right)}}{2 a}

\begin{array}{l}{\text {Here in } 7 \mathrm{W}^{2}-22 \mathrm{W}-3197=0} \\\\ {a=7 ; b=-22 ; c=-3197}\end{array}

Substituting in above quadratic formula,

\begin{array}{l}{W=\frac{-(-22) \pm \sqrt{\left((-22)^{2}-4(7)(-3197)\right)}}{2 \times 7}} \\\\ {W=\frac{22 \pm \sqrt{90000}}{14}=\frac{22 \pm 300}{14}} \\\\ {W=\frac{22+300}{14} \text { or } W=\frac{22-300}{14}} \\\\ {W=23 \text { or } W=-19.85}\end{array}

Since width of rectangle cannot be negative, ignore negative value of "W"

So width W = 23 inches

Length L = 7W - 22 = 7(23) - 22 = 139 inches

Thus length of rectangle is 139 inches

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The measure of an angle is 8 degrees less than three times the measure of another angle. If the two angles are supplementary, wh
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The measure of the large angle is
133 degrees
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