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3 years ago

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A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the cheese? Approximat

e the the nearest hundredth.

1 answer:

Maksim231197 [3]3 years ago

8 0

The side length is the square root of 8. Because the square has 4 equal sides, the side lengths must be equal. So the answer is approximately 2.83.

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Line segment AB has endpoints A(1, 4) and B(6, 2). Find the coordinates of the point that divides the line segment directed from

VMariaS [17]

let's say that point is point C, thus

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}\\\\\\A(1,4)\qquad B(6,2)\qquad\qquad \stackrel{\textit{ratio from A to B}}{2:3}\\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(1,4)=2(6,2)\\\\[-0.35em]~\dotfill\\\\C=\left(\frac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \frac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\[-0.35em]~\dotfill$

$\bf C=\left(\cfrac{(3\cdot 1)+(2\cdot 6)}{2+3}\quad ,\quad \cfrac{(3\cdot 4)+(2\cdot 2)}{2+3}\right)\implies C=\left(\cfrac{3+12}{5}~,~\cfrac{12+4}{5} \right)\\\\\\C=\left( \cfrac{15}{5}~,~\cfrac{16}{5} \right)\implies C=\left( 3~,~3\frac{1}{5} \right)$

6 0

3 years ago

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???? Help me with my work

Mariana [72]

Answer:

2a=65+14 x 2 / 3a= 65+14 x 3 / 4a= 65+14 x 4

2b=93 3b=116 4b=121

Step-by-step explanation:

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3 years ago

What is Evaluate 2. to the 2 power

Alex

Answer:

2^2 = 4

Step-by-step explanation:

2*2 = 4

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3 years ago

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The diagram shows the outline of a room. The owner has decided to make the room three times as large as it is now. How many feet

guapka [62]

Answer:

New width will be $6.807\ ft$ larger than old width.

Step-by-step explanation:

Given width of room is $9.3\ ft$

And length of room is $6.2\ ft$

Then the old area will be $(9.3\times 6.2)$

Also we have to make this room three times larger as it is now.

We can see the ratio between width and length of room is $\frac{9.3}{6.2}=1.5$

let us say the length of new room is $x$

So, width of room will be $1.5\times x$

And we know area of rectangle is $length\times width$

Also, the new area will be $3\times (9.3\times 6.2)$

Then the equation will be

$x\times 1.5\times x=3\times(9.3\times 6.2)\\1.5\times x^2=172.89\\x^2=\frac{172.89}{1.5}\\ x^2=115.32\\x=\sqrt{115.32}\\x=10.73\ ft$

So, the width of new room is

$1.5\times x=1.5\times 10.738\\width=16.107\ ft$

So, the increment in width is

$16.107-9.3=6.807\ ft$

5 0

3 years ago

An overzealous student burns a candle at both ends. One night she lights the top and bottom ends of a candle at the same time. T

nalin [4]

A. the distance covered by both ends = top distance+bottom distance

1.4 inches + 2.1 inches =3.5 inches

so each hour, both ends cover 3.5 inches

he time it'll take to burn the whole candle

10 inches/ 3.5 inches =2.857 hours

to find out how far from the top the flames meet,

1.4 inches x 2.854 hours = 4 inches

B. the middle of the candle is 10/2 = 5 inches

to meet at the middle, she should start

Top: 1.4 inches × x hours = 5 inches

x hours = 5/1.4 = 3.571 hours

Bottom : 2.1 inches × x hours = 5 inches

x hours = 5/2.1 = 2.38 hours

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3 years ago

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