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4 years ago

Let each square represent 1/3 unit by 1/3 unit

Mathematics

2 answers:

kap26 [50]4 years ago

7 0

Answer:

Step-by-step explanation:

7nadin3 [17]4 years ago

4 0

4110000 is the answer

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What is the equation of the circle for which the points (-2,3) and (4,9) are the endpoints of one of its diameters?

topjm [15]

Answer:

Step-by-step explanation:

hello :

look this solution

3 0

4 years ago

Solve each system by elimination by multiplying both equations. eliminate y first. show all work.

Alex17521 [72]

First $\mathrm{Multiply\:}10x-3y=18\mathrm{\:by\:}3:\quad 30x-9y=54$
Then $\mathrm{Multiply\:}6x-10y=-22\mathrm{\:by\:}5:\quad 30x-50y=-110$
To get $\begin{bmatrix}30x-9y=54\\ 30x-50y=-110\end{bmatrix}$
So...
$30x-50y=-110 \ \textgreater \ \begin{bmatrix}30x-9y=54\\ -41y=-164\end{bmatrix}$
$-41y=-164 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-41 \ \textgreater \ \frac{-41y}{-41}=\frac{-164}{-41}$
To get y = 4.
$\mathrm{For\:}30x-9y=54\mathrm{\:plug\:in\:} \:y=4 \ \textgreater \ 30x-9\cdot \:4=54$
$\mathrm{Multiply\:the\:numbers:}\:9\cdot \:4=36 \ \textgreater \ 30x-36=54 \ \textgreater \$
Next $\mathrm{Add\:}36\mathrm{\:to\:both\:sides} \ \textgreater \ 30x-36+36=54+36 \ \textgreater \ \mathrm{Simplify} \ \textgreater \ 30x=90$
Finally $\mathrm{Divide\:both\:sides\:by\:}30 \ \textgreater \ \frac{30x}{30}=\frac{90}{30} \ \textgreater \ x = 3$
Therefore our solutions are y = 4, x = 3

8 0

3 years ago

the Johnsons want to cover their backyard with new grass their backyard is rectangular with a length of 3x - 2 feet and a width

Andre45 [30]

<h2>Hello!</h2>

The answer is:

The area that the want to cover with new grass will be:

$Area_{grass}=8x^{2} -12x-22$

If we want to calculate what is the ara of the region of the backyard that they want to cover with new grass, we need to calculate the area of the backyard, calculate the area of the swimming pool and its patio, and the last step is to subtract the area of the swimming pool and its patio to the total area of the backyard.

So, to calculate the areas, we need to use the following formula:

$Area=Length*Width$

Also, we need to remember how the distributive property works, since we are going to need it.

We have that:

$(a+b)(c+d)=ac+ad+bc+bd$

We are given the following information:

For the backyard we have:

$Length=3x-2\\Width=3x+1$

For the swimming pool and its patio:

Since there it's not mentioned, let be the first expression the length, and the second one, the width.

$Length=x+4\\Width=x+5$

Then, calculating we have:

Backyard:

$Area_{backyard}=(3x-2)*(3x+1)=9x^{2}+3x-6x-2=9x^{2}-3x-2$

Swimming pool and patio:

$Area_{swimmingpool}=(x+4)*(x+5)=x^{2}+5x+4x+20=x^{2}+9x+20$

Now, calculating the area that they want to cover with new grass, we have:

$Area_{grass}=Area_{backyard}-Area_{swimmingPool}\\\\Area_{grass}=(9x^{2}-3x-2)-(x^{2}+9x+20)\\\\Area_{grass}=9x^{2} -x^{2} -3x-9x-2-20\\\\Area_{grass}=8x^{2} -12x-22$

Hence, we have that the area that the want to cover with new grass will be:

$Area_{grass}=8x^{2} -12x-22$

Have a nice day!

3 0

3 years ago

Noah brought 1 fishing pole, 2 corks, and 1 worms. What is the total cost? Each fish cost $2. Corks is 2 fish, poles is 5 fish,

slava [35]

The total cost is 21.50.

Hope this helps!!

3 0

3 years ago

Read 2 more answers

In Pensacola, Florida, the average rainfall

Lerok [7]

the average rainfall, in inches, in December is 4.15 inch . Correct option C. 4.15 .

<u>Step-by-step explanation:</u>

Here we have , In Pensacola, Florida, the average rainfall in the month of July is 7.40 inches. By October, the average rainfall decreases by 35%. By December, the average rainfall drops another 0.66 inches. We need to find the average rainfall, in inches, in December .Let's find out:

In July , rainfall was 7.40 inches . By October, the average rainfall decreases by 35% i.e.

⇒ $7.4 - \frac{7.4(35)}{100}$