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Dmitry_Shevchenko [17]
2 years ago
6

**30 POINTS** The Scotts have a yard in the shape of a square. The area of the yard is 128 square meters, and the Scotts want to

place a fence to border their entire yard. How long will this fence be?
Mathematics
1 answer:
miskamm [114]2 years ago
7 0

Answer:

45.24m

Step-by-step explanation:

Area of square = s^2

128 = s^2

s^2 = 11.31m.

This is the length of ONE SIDE.

Squares have four sides.

Homeboy wants to place a fence bordering is entire yard. AKA four sides.

11.31*4= 45.24m

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The location of four buildings on a coordinate grid are as follows:
Gre4nikov [31]

Answer:

3400 feet

Step-by-step explanation:

Distance between building 1 and building 2 = |5+3| = 8

Distance between building 2 and building 3 = |4+5| = 9

Distance between building 3 and building 4 = |-3-5| = 8

Distance between building 4 and building 1 = |4+5| = 9

total distance = 8 x 2 + 9 x 2 = 34

total distance in feet =  34 x 100 = 3400 feet

3 0
2 years ago
A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 95% pure anti
Dimas [21]

Answer:

42 gallons 45% antifreeze

28 gallons 95% antifreeze

Step-by-step explanation:

If x is volume of 45% antifreeze, and y is volume of 95% antifreeze, then the total volume is:

x + y = 70

And the total amount of antifreeze is:

0.45 x + 0.95 y = 0.65 (70)

Solving by substitution:

0.45 x + 0.95 (70 − x) = 0.65 (70)

0.45 x + 66.5 − 0.95 x = 45.5

21 = 0.5 x

x = 42

y = 28

7 0
2 years ago
Find the equation of the line that passes through point (7,5) and (-9,5)
Papessa [141]

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = \frac{5-5}{-9-7} = \frac{0}{-16} = 0

This means the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

4 0
3 years ago
A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent
Yuri [45]

the yearly increase of x% assumes is compounding yearly, so let's use that.

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}

95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r

4 0
2 years ago
263/4 plz answer thank you
mr_godi [17]

Answer:

65.75

Step-by-step explanation:

All you do is divide.

6 0
3 years ago
Read 2 more answers
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