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Flura [38]
3 years ago
13

Find the volume of the cylinder use 3.14 for pie. Round to the nearest tenth

Mathematics
1 answer:
lisov135 [29]3 years ago
7 0

Answer:

it is the last answer

Step-by-step explanation:

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A small garden measures 9 ft by 13 ft. A uniform border around the garden increases the total area to 192 ft square. What is the
victus00 [196]

The width of border is 1.5 feet

<h3><u>Solution:</u></h3>

Given that small garden measures 9 ft by 13 ft

A uniform border around the garden increases the total area to 192 ft square

To find: width of border

Let the width of border be "x"

Then the new measures of garden are (9 + 2x) feet and (13 + 2x) feet

The total area of garden = 192 square feet

(9 + 2x)(13 + 2x) =192

117 + 18x + 26x + 4x^2 = 192\\\\4x^2 + 44x - 75 = 0

<em><u>Let us solve the above equation by quadratic formula</u></em>

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

For 4x^2 + 44x - 75 = 0 , we have a = 4 ; b = 44 ; c = -75

Substituting the values of a = 4 ; b = 44 ; c = -75 in above quadratic formula we get,

\begin{aligned}&x=\frac{-44 \pm \sqrt{44^{2}-4(4)(-75)}}{2 \times 4}\\\\&x=\frac{-44 \pm \sqrt{1936-1200}}{8}\\\\&x=\frac{-44 \pm \sqrt{3136}}{8}\\\\&x=\frac{-44 \pm 56}{8}\end{aligned}

\begin{aligned}&x=\frac{-44+56}{8} \text { or } x=\frac{-44-56}{8}\\\\&x=\frac{12}{8} \text { or } x=\frac{-100}{8}\\\\&x=1.5 \text { or } x=-12.5\end{aligned}

Since "x" cannot be negative,

we get x = 1.5

Thus width of border is 1.5 feet

4 0
3 years ago
A 36 inch string is divided into 5 pieces. Two of the
icang [17]
X + x + 3(2+x)= 36
2x + 6 + 3x = 36
5x + 6 = 36
5x = 36 - 6
5x = 30
x = 6
Longer piece = 2 + 6 = 8inches
3 0
3 years ago
I don’t understand the second one please help
OLEGan [10]
You have to put the number in the graph
6 0
3 years ago
Read 2 more answers
Identify the postulate that proves the triangles are congruent.
Ratling [72]

Answer:

ASA

Step-by-step explanation:

Triangle ABD is congruent to triangle BDC by ASA because angle B in ABD  is 30 degrees. Then they give you BD which equals BD by the reflexive property. And finally angle D in ABD is also 30 degrees. In triangle BCD, angle B is 30 degrees, BD = BD, and angle D in BCD is 30 degress. So we have an angle (B), side (BD), and another angle (D)

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3 years ago
-2x-y=-9<br> 5x-2y=18<br> substitution
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6 0
2 years ago
Read 2 more answers
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