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lions [1.4K]
4 years ago
12

Jayden places a rectangular doormat in front of his door. The doormat has an area of

B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{3}" alt="\frac{1}{3}" align="absmiddle" class="latex-formula"> square foot and a width of \frac{1}{2} foot. What is its length?
Mathematics
1 answer:
kondor19780726 [428]4 years ago
3 0

Answer:

2/3 or 0.6667

Step-by-step explanation:

L (length) = A/W (area/width)

L = 1/3 / 1/2

1/3 * 2/1 = 2/3

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The diameter of a circle has endpoints (-10,5) and (-4,11)
Marta_Voda [28]

well, since we know the endpoints for the diameter, its midpoint will be where the center of the circle is located, so

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -4 -10}{2}~~~ ,~~~ \cfrac{ 11 + 5}{2} \right)\implies \left(\cfrac{-14}{2}~~,~~\cfrac{16}{2} \right)\implies \stackrel{center}{(-7~~,~~8)}

and if we get the distance between those endpoints, and take half of that, that'd be the radius of it.

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[-4 - (-10)]^2 + [11 - 5]^2}\implies d=\sqrt{(-4+10)^2+6^2} \\\\\\ d=\sqrt{6^2+6^2}\implies d=\sqrt{72}~\hfill \stackrel{radius=half~that}{\cfrac{\sqrt{72}}{2}} \\\\[-0.35em] ~\dotfill

\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-7}{ h},\stackrel{8}{ k})\qquad \qquad radius=\stackrel{\frac{\sqrt{72}}{2}}{ r} \\\\\\\ [x-(-7)]^2~~ + ~~[y-8]^2~~ = ~~\left( \frac{\sqrt{72}}{2} \right)^2\implies (x+7)^2~~ + ~~(y-8)^2~~ = ~~18

5 0
2 years ago
What is the range of the relation? (1,2) (2,4) (3,2) (4,4)
Luda [366]
Range is the y-values.


So the y-values are: {1,2,3,4}


7 0
3 years ago
If Suzannah's budget limit is $10 per month, how many text messages can she send in one month?​
Colt1911 [192]

Answer:

.10x100=$10

Am smort :D

3 0
3 years ago
What is 150 % of 32 ?
Mnenie [13.5K]

Answer:  48

=================================================

Explanation:

The keyword "of" means multiply

150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form

Putting those two facts together lead to...

150% of 32 = 1.5*32 = 48

----------------

Another approach:

x% = x/100

150% = 150/100 = 1.5

150% of 32 = 1.5*32 = 48

The last step is identical as before, but the conversion of 150% is slightly different this time.

------------------

Yet another approach:

100% of anything is itself

So 100% of 32 is 32

The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48

5 0
3 years ago
What number does this Roman numeral represent?<br><br> DCCLXXXI
avanturin [10]

k there is your answer. be happy. UwU

7 0
4 years ago
Read 2 more answers
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