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VMariaS [17]
3 years ago
8

The area of a square carpet tile is 900 square centimeters. What is the length of one edge of the tile in centimeters

Mathematics
1 answer:
satela [25.4K]3 years ago
8 0
Let the side of one edge of tile = a cm.

So area of tile = (side)^2 = a^2
 
But area of tiles = 900 square centimeter.

So a^2 = 900

a =  \sqrt{900}
          = 30

So side of one edge of tile is = 30 cm
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Solve the quadratic equation by completing the square. 6x2 + 4x - 5 = 0
Nikitich [7]

Answer:

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

Step-by-step explanation:

Quadratic Equation given:

6x^2 + 4x - 5 = 0

Start dividing both sides by 6.

$\frac{6}{6} x^2 +\frac{4}{6} x - \frac{5}{6}  = \frac{0}{6} $

$x^2 +\frac{2}{3} x - \frac{5}{6}  = 0 $

$x^2 +\frac{2}{3} x = \frac{5}{6} $

Once, $\left( \frac{2}{3} \cdot \frac{1}{2} \right)^2=\frac{1}{9} $

$x^2 +\frac{2}{3} x+\frac{1}{9}  = \frac{5}{6}+\frac{1}{9}  $

$\left(x+\frac{1}{3} \right)^2 = \frac{17}{18}}  $

$x+\frac{1}{3}  =\pm\sqrt{\frac{17}{18}} }   $

Solving $\sqrt{\frac{17}{18}} $

$\sqrt{\frac{17(18)}{18(18)}}= \sqrt{\frac{306}{324}}=\frac{3\sqrt{34} }{18} =\frac{\sqrt{34} }{6} $

Then,

$x+\frac{1}{3}  =\pm\frac{\sqrt{34} }{6}  $

$x =-\frac{1}{3} \pm\frac{\sqrt{34} }{6}  $

$x_{1}=-\frac{2+\sqrt{34}}{6}$

$x_{2}=-\frac{2-\sqrt{34}}{6}$

6 0
3 years ago
WILL GIVE BRAINLIEST!!!!!!!
lara [203]
Paralell has same slope
slope of ax+by=c is -a/b
so a paralalell line to ax+by=c is ax+by=z where a=a and b=b and z is a constant

so
paralalel to 3x-2y=-6 is 3x-2y=?
find ?
given point (4,2)
sub
3(4)-2(2)=12-4=8

equation is 3x-2y=8
solving for slope itnercept or y
minus 3x both sides
-2y=-3x+8
divide by -2
y=3/2x-4

B is answer
8 0
3 years ago
An advertising agency that serves a major radio station wants to estimate the mean amount of time the station’s audience members
Flura [38]

Answer:

n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220

So the answer for this case would be n=220 rounded up to the nearest integer

Step-by-step explanation:

Information given

\sigma = 45 represent the population deviation

ME = 5 represent the margin of error

The margin of error for the true mean is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (4) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 90% of confidence interval now can be founded using the normal distribution. The significance level is \alpha=1-0.9=0.1 and the critical value would be z_{\alpha/2}=1.645, replacing into formula (b) we got:

n=(\frac{1.645(45)}{5})^2 =219.18 \approx 220

So the answer for this case would be n=220 rounded up to the nearest integer

5 0
3 years ago
Read 2 more answers
The area of a rectangular deck is 680 square feet. The deck's width is 17 feet. What is its perimeter?
Ostrovityanka [42]
680/17=40. Therefore the height of the rectangle is 40 and the width is 17. so 40+40+17+17= c) 114 feet
6 0
3 years ago
What is the growth rate for 3x-y=8x-7
nydimaria [60]

Answer:

you mean like this :))

-5x +7 = Y

Step-by-step explanation:

3x - y = 8x - 7

<=>3x - 8x = y - 7

<=>-5x = y - 7

<=>-5x + 7 = Y

8 0
3 years ago
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