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andre [41]
3 years ago
14

A rectangular prism with a volume of 10 cubic units is filled with cubes with side length of 1/2 unit

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
5 0

volume of rectangular prism = 10 units³

volume of each cube = \frac{1}{2}  \times\frac{1}{2} \times\frac{1}{2} = \frac{1}{8} units^3

required cubes = \frac{10}{ \frac{1}{8} }= 80

Alenkasestr [34]3 years ago
4 0
<h3>Solution:</h3>

<u>We know that:</u>

1. \space\ V_{Rectangular \space\ prism}  = 10 \text\] units^{3}\\\\2. \space\ L_{Small \space\ cube} = \frac{1}{2} \space\ units\\\\ 3. \space\ V_{Small \space\ cube} = L ^{3}

<u>Step-1: Find the volume of the small cube.</u>

V_{Small \space\ cube} = L ^{3}

V_{Small \space\ cube} = (\frac{1}{2})  ^{3}

V_{Small \space\ cube} = (\frac{1}{2}) (\frac{1}{2}) (\frac{1}{2})

V_{Small \space\ cube} = \frac{1}{8} \space\ units^{3}

<u>Step-2: Divide.</u>

\frac{10}{\frac{1}{8} }\\\\ \Rrightarrow(10)(8)\\ \\ \Rrightarrow 80

Hence, 80 cubes can be fit in the <u>rectangular prism.</u>

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Answer:

a. Check the diagram

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c. He is 18 feet far away from the house

Step-by-step explanation:

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12ft + 32ft + 14ft =58ft

He walked 58 feet.

c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:

32ft - 14ft = 18ft.

He is 18 feet far away from the house.  

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3 years ago
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Step-by-step explanation:

3 0
3 years ago
Which number line shows the solution to -2x+4&gt;8?​
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Can you provide a screenshot?

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3 years ago
A random sample of 225 individuals working in a large city indicated that 45 are dissatisfied with their working conditions. Bas
Lorico [155]

Answer:

CI 90 %  =  [  0,165  ;  0,235 ]

Lower limit     0,165

upper limit      0,235

Step-by-step explanation:

Sample information:

sample size    n  =  225

number of dissatisfied  individuals   x  =  45

p = 45/225

p = 0,2    and  q =  1 -  p   q  =  1  -  0,2   q  =  0,8

p*n = 0,2*225   =  45    and   q*n   =  0,8*225  =  180

p*n  and q*n  big enough to use the approximation of binomial distribution to normal distribution

90 % of Confidence Interval   then a significance level is  α  = 10%

α  =  0,1 in z table we get z(c) for that significance level

z(c) = 1,28

CI 90 %   =  [  p  ±  z(c)*√(p*q)/n ]

z(c) * √(p*q)/n    =  1,28 *  √ ( 0,2*0,8)/225

z(c) * √(p*q)/n    =  1,28 * 0,027

z(c) * √(p*q)/n    =  0,035

CI 90 %  =  [  0,2  ±  0,035 ]

CI 90 %  =  [  0,165  ;  0,235 ]

Lower limit     0,165

upper limit      0,235

3 0
3 years ago
Simplify completely. square root of 18y^10
NemiM [27]
sqrt (18y10) =
3 y5 • sqrt(2)
3 0
3 years ago
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