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2 years ago

The sum of three consecutive odd numbers is 99. What is the smallest of the three numbers ?

Mathematics

1 answer:

MAVERICK [17]2 years ago

4 0

hope this is helpful!

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The length of a rectangle is 3 metern .<br> more than triple the width

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It is 9 because you need to triple 3 so 3x3 is 9

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2 years ago

Round 103,475 to the nearest ten thousands place:

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Answer: 103,000

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What is the equation to this graph above

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2 years ago

A farmer is building a fence to enclose a rectangular area consisting of two separate regions. The four walls and one additional

Vlad [161]

Answer:

The maximal area will be "1093.5 square feet".

Step-by-step explanation:

Let,

Length = L feet

Breadth = b feet

Given Total fencing = 162 feet

According to the question,

$(2\times L)+(3\times b)=162$

$2L+3B=162$

$L=\frac{162-3b}{2}$

$L=81-\frac{3}{2}b$

As we know,

$Area=Length\times breadth$

$=(81-\frac{3}{2}b)\times b$

$=81b-\frac{3}{2}b^2$

Now, we required to decrease or minimize the are. So for extreme points:

$\frac{dA}{db}=0$

or,

$\frac{dA}{dB}=\frac{d}{db}(81-\frac{3}{2}b^2 )=0$

$81-\frac{3}{2}\times 2\times b=0$

$b=\frac{81}{3}$

$b=27 \ feet$

Now on putting the value of b, we get

$l=81-\frac{3}{2}\times 27$

$=81-40.5$

$=40.5 \ feet\\$

So that the dimensions will be:

⇒ 40.5 feet by 27 feet

Therefore when the dimension are above then the area will be:

= $81\times 27-\frac{3}{2}\times 27\times 27$

= $2187-\frac{3}{2}\times 729$

= $2187-1093.5$

= $1093.5 \ square \ feet$

6 0

3 years ago