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3 years ago

How can I estimate the square root of a non-perfect square

Mathematics

2 answers:

BlackZzzverrR [31]3 years ago

8 0

Hope this helped you :)

allsm [11]3 years ago

3 0

Use the two perfect squares it falls between to give you an accurate point of reference.

For example, \/```28 (square root of 28)
The square root of 28 falls between the square root of 25 and 36, so you know the value will be between 5 and 6.

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a rectangle has a perimeter of 88cm. if the height is three times the length of the width what are the dimensions of the rectang

fredd [130]

Answer:

P=88. L=3w

P= 2(w)+2(L)

Then substitute the values into the equation

88=2w+2(3w)

Then solve for w and its length which is 3w

5 0

3 years ago

Which value is a discontinuity of x^2+7x+1/x^2+2x-15? x=-1 x=-2 x=-5 x=-4

dsp73

$\dfrac{x^2+7x+1}{x^2+2x-15}=\dfrac{x^2+7x+1}{(x+5)(x-3)}$

which is undefined when $x=-5$ or $x=3$ . The answer is then the third choice.

6 0

4 years ago

7 POINTS!!! EASY!!BUT I AM SMALL. A skateboarder traveled 3 5 of a mile in 1 20 of an hour. What was the skateboarder’s speed in

Alex17521 [72]

Speed = distance ÷ time so it's probably
35÷120=0.291 or 7/24 miles per hour

7 0

3 years ago

Read 2 more answers

a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |subtract $y$ from both sides

$\dfrac{2}{3}x-y+b=0$ |multiply both sides by 3

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |multiply both sides by $\sqrt{13}$

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |divide both sides by 3

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

4 0

3 years ago

- A contractor plans to build a rectangular office complex. The floor area on the first floor of the

Neko [114]

Answer:

Width = 30

Step-by-step explanation:

Area = 18x * 10y = 180xy

Length = 6xy

Width = ?

Since the shape of the office complex is a rectangle,

Area of a rectangle = length × width

180xy = 6xy × width

Width = 180xy / 6xy

Width = 30

4 0

3 years ago