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tatuchka [14]
3 years ago
7

Determine the volume of the picture below. Please help

Mathematics
2 answers:
xenn [34]3 years ago
8 0

Answer:

6825 in

Step-by-step explanation:

Since the shape is a composite figure, we need to break it up into 2 shapes!

Rectangle and a triangular prism

Solving for Rectangle...

Volume = Length · Width · Height

Volume = 30 · 13 · 13

Volume = 5070 in

Solving for Triangular Prism

Volume = Length · Width · Height / 2

Volume = 30 · 9 · 13 / 2

Volume = 3510/2

Volume = 1755 in

Finally, add the volumes!

5070 + 1755 = 6825 in

Vlada [557]3 years ago
4 0
The answer to this question is D
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Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71
Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17)  = 71       (*)

Use common factor (17*14*4  = 952) as the denominator to combine terms:

1/4 =  (17*14)/ 952  = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952  = 56/952

so 1/4 + 1/14 + 1/17 =    (238 + 68 + 56)/ 952 =  362/952 = 181/476

Substituting in (*) gives

x ( 181/476)  = 71                       => multiply both sides by 476/181

x = (71 * 476)/181                       => 71* 476 =33769

x = 33769/181

Thank you,

MrB

4 0
3 years ago
Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
3 years ago
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Someone help?!.........
koban [17]
Answer: y = -2x + 16

Explanation:

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The monthly profit for a company that makes decorative picture frames depends on the price per frame. The company determines
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the price is= £21.50

hope it helps

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3 years ago
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