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poizon [28]
3 years ago
12

Find the area and the perimeter of a rectangle with a length of 5 feet and a width of 4 5/9 feet. Write each answer as a fractio

n and as a decimal. Use bar notation if necessary. Please help me out!!
Mathematics
1 answer:
Over [174]3 years ago
6 0

\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=5\\ w=4\frac{5}{9}\\[0.8em] \qquad \frac{4\cdot 9+5}{9}\\[0.8em] \qquad \frac{41}{5} \end{cases}\implies A=5\cdot \cfrac{41}{5}\implies \stackrel{fraction}{A=\cfrac{41}{1}}\implies \stackrel{decimal}{A=41} \\\\[-0.35em] \rule{34em}{0.25pt}


\bf \textit{perimeter of a rectangle}\\\\ A=2(L+w)\qquad \implies A=2\left(5+\cfrac{41}{5} \right) \implies A=2\left( \cfrac{25+41}{5} \right) \\\\\\ A=2\left( \cfrac{66}{5} \right)\implies A=\cfrac{132}{5}\implies \stackrel{fraction}{A=26\frac{2}{5}}\implies \stackrel{decimal}{A=26.4}

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3 years ago
Solve for C:<br> Spam: deiodhwidweiudjegydjwe
Maksim231197 [3]

Answer:

C=\frac{5F-160}{9}

Step-by-step explanation:

Let's solve for C.

F=\frac{9C}{5}

Step 1: Flip the equation.

\frac{9}{5} C+32=F

Step 2: Add -32 to both sides.

\frac{9}{5} C+32+-32=F+-32

\frac{9}{5}C=F-32

Step 3: Divide both sides by \frac{9}{5}.

\frac{\frac{9}{5}C}{\frac {9} {5}}=\frac{F-32}{\frac{9}{5} }

C=\frac{5F-160}{9}

Answer:

C=\frac{F-160}{9}

8 0
2 years ago
Answer correctly for the brainliest answer
Dahasolnce [82]

Similar triangles so AC:BC=AE:DE

15+6=21 = AE

15:12.5=21:?

to get from 15 to 12.5 you divide by 15 and times by 12.5 so do this the to the other side

21/15=1.4

1.4 x 12.5=17.5

So DE=17.5

4 0
3 years ago
Determine the following<br>quadratic equations have real<br>roots<br><br>1) 3x² - √2x-√3​
IceJOKER [234]

Step-by-step explanation:

√3 x² - 2x - √3 = 0

√3 x² - 3x + x - √3 = 0

√3 x(x - √3) + 1(x - √3) = 0

(x - √3 ) (√3 x + 1) = 0

x - √3 = 0 , √3 x +1 = 0

x = √3 , x = -1/√3

3 0
3 years ago
Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar
Brrunno [24]

The distance between the two points is d=8.6m

The polar coordinate of A is \left(4.47,296.57\right)

The polar coordinate of B is \left(4.24,135\right)

Explanation:

The two points are A(2,-4) and B(-3,3)

The distance between two points is given by,

d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6

Thus, the distance between the two points is d=8.6m

The polar coordinates of A can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting A(2,-4), we get,

Distance = \sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47

tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43

To make the angle positive, let us add 360,

\theta=360-63.43=296.57

The polar coordinate of A is \left(4.47,296.57\right)

Similarly, The polar coordinate of B can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting B(-3,3), we get,

Distance = \sqrt{(3)^{2}+(3)^{2}}=4.24

tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45

To make the angle positive, let us add 360,

\theta=180-45=135^{\circ}

The polar coordinate of B is \left(4.24,135\right)

5 0
3 years ago
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