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Rashid [163]
2 years ago
13

Find the perimeter. Write your answer as a fraction, whole number, or mixed number

Mathematics
2 answers:
rodikova [14]2 years ago
7 0

Answer:

Well, first you'll have to do P (perimeter) = 2(a + b)

So: P= 2(68/15 + 32/5)*

P = 2(68/15 + 96/15)

P = 2(164/15)

Then, do the equation:

328/15

Hopefully, this helps! If it doesn't, tell me what I need to provide in my answer so I can answer your question :)

*There the mixed numbers of the two angles

saw5 [17]2 years ago
4 0

Answer:

{ \tt{perimeter = s_{1} + s _{2} + ....... + s _{n}  }}

» We're given a parallelogram with for sides, so n = 4

{ \tt{perimeter = 4 \frac{8}{15} + 6 \frac{2}{5} + 4 \frac{8}{15}    + 6 \frac{2}{5} }} \\  \\  = { \tt{(4 \frac{8}{15}  + 4 \frac{8}{15} ) + (6 \frac{2}{5}  + 6 \frac{2}{5}) }} \\  \\  = { \tt{2(4 \frac{8}{15}  + 6 \frac{2}{5}) }} \\  \\  = { \tt{2( \frac{68}{15} +  \frac{32}{5})  }} \\  \\ { \tt{ = 2 \times  \frac{164}{15} }} \\  \\  = { \tt{ \frac{328}{15} }} \\  \\ { \boxed{ \tt{ \: perimeter =  { \blue{\frac{328}{15}}}  \:  \: or \: \:{ \blue{ 21 \frac{13}{15}}}  \:  \: or \:  \: { \blue{ \tt{22}}} \:  \: or \:  \: { \blue{21.8667}} }}}

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small cubes with edge lengths of 1/4 inch will be packed into the right rectangular prism shown.( the base is 4 1/2, the width i
ss7ja [257]

General Idea:

We need to find the volume of the small cube given the side length of the small cube as 1/4 inch.

Also we need to find the volume of the right rectangular prism with the given dimension (the height is 4 1/2, the width is 5, and the length is 3 3/4).

To find the number of small cubes that are needed to completely fill the right rectangular prism, we need to divide volume of right rectangular prism by volume of each small cube.

Formula Used:

Volume \; of \; Cube = a^3 \; \\\{where \; a \; is \; side \; length \; of \; cube\}\\\\Volume \; of  \; Right \; Rectangular  \; Prism=L \times W \times H\\\{Where  \; L \; is \; Length, \; W \; is \; Width, \;and  \; H \; is \; Height\}

Applying the concept:

Volume of Small Cube:

V_{cube}= (\frac{1}{4}  )^3= \frac{1}{64} \; in^3\\\\V_{Prism}=  3 \frac{3}{4}  \times 5 \times  4 \frac{1}{2}  = \frac{15}{4}  \times \frac{5}{1}  \times \frac{9}{2}  = \frac{675}{8}  \\\\Number \; of \; small \; cubes= \frac{V_{Prism}}{V_{Cube}}   = \frac{675}{8}  \div \frac{1}{64}  \\\\Flip \; the \; second \; fraction\; and \; multiply \; with \; the \; first \; fraction\\\\Number \; of \; small \; cubes \;= \frac{675}{8} \times \frac{64}{1}   = 5400

Conclusion:

The number of small cubes with side length as 1/4 inches that are needed to completely fill the right rectangular prism whose height is 4 1/2 inches, width is 5 inches, and length is 3 3/4 inches is <em><u>5400 </u></em>

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3 years ago
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