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ikadub [295]
3 years ago
6

A standard letter-sized piece of paper has a length and width of 8.5 inches by 11 inches.

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

Area of the resulting rectangle = 23.375 inch²

Step-by-step explanation:

After 1 fold width or length reduces to half.

Area = Length x width

So after 1 fold area will reduce to half.

So we have

              \texttt{Area after n folds =}\frac{\texttt{Initial area}}{2^{\texttt{number of folds}}}

Initial area = 8.5 x 11 = 93.5 inch²

Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is

Number of folds = 2

\texttt{Area after 2 folds =}\frac{\texttt{Initial area}}{2^{2}}\\\\\texttt{Area after 2 folds =}\frac{93.5}{4}=23.375inch^2

Area after 2 folds = 23.375 inch²

Area of the resulting rectangle = 23.375 inch²

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Oksanka [162]

Answer:

See step-by-step explanation

Step-by-step explanation:

Question 3: (4, -3)

Solving through elimination: Multiply the first equation by -3.

-3x+6y=-30

3x-5y = 27

Add. The x drops out.

y= -3

Substitute -3 in for y.

x-2y=10

x-2(-3)=10

x+6=10

x=4

Question 4: (2,5)

Solve through elimination: Multiply the second equation with 3.

\frac{3}{2} x+y=8

\frac{9}{4} x-y=-\frac{1}{2}

3/2= 6/4

15/4x=7.5

x=2

3/2 (2) + y = 8

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y=5

Question 5: (6,4)

Use your graph to graph.

y=-\frac{1}{3} x+6

Slope of -1/3

Y-intercept of 6 (0,6)

X-intercept of 18 (18,0)

y=\frac{3}{2} x-5

Slope of 3/2

Y-intercept of -5 (0,-5)

X-intercept of \frac{10}{3} (

Question 6: (5, -7)

Ax+2By=-41

4Ax-By=88

3A+2B(4)=-41

4A(3)-B(4)=88

Solve by substitution:

Words of encouragement:

Good luck!

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3 years ago
A 6th grade student can complete 20 multiplication facts in 1 minute. If he works at the same rate how long should it take him t
Usimov [2.4K]
He can complete 35 questions in 1.75 minutes

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7 0
3 years ago
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Find the surface area of a cylinder with a base radius of 2 cm and a height of 8 cm
gtnhenbr [62]

Answer:

82.6cm2

Step-by-step explanation:

\pi {r}^{2}  + \pi {r}^{2}  + 2  \pi \: r h

\pi =  \frac{22}{7}

radius =2cm

height=8cm

( \frac{22}{7}  \times 2 \times 2 )+ ( \frac{22}{7}  \times 2 \times 2) + (2 \times  \frac{22}{7}  \times 2 \times 8)

Multiplying the numerators and The whole numbers, we have

\frac{88}{7}  +  \frac{88}{7}  +  \frac{402}{7}

Since the denominators of the fractions are the same, we add the numerators.

\frac{88 + 88 + 402}{7}  =  \frac{578}{7}  \\ which \: becomes \\

82.57{cm}^{2}  = 82.6 {cm}^{2}

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2 years ago
Line m includes the points (-3, 3) and (-4,-6). Line n has the same slope as line m and
Sveta_85 [38]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

The slope of a line is given by:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

We have that the line m passes through the following points:

(x_ {1}, y_ {1}): (-3,3)\\(x_ {2}, y_ {2}): (-4, -6)

So, the slope of the line m is:

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y = 9x + b

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y = 9x- \frac {2} {3}

ANswer:

y = 9x-\frac {2} {3}

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Answer:

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Step-by-step explanation:

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