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Law Incorporation [45]
2 years ago
15

If 6 cubes with an edge length of 14 can fit the height of the prism, what is the height of the prism? Enter the missing part of

the answer.
Mathematics
1 answer:
Paha777 [63]2 years ago
7 0

Answer: 84\ \text{units}

Step-by-step explanation:

Given

The length of each cube is a=14\ \text{units}

If there are 6 cubes placed over each other, then the height achieved by the cubes is

\Rightarrow 6\times 14\\\Rightarrow 84\ \text{units}

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Using Cramer's rule to solve linear systems.
Rzqust [24]

Answer: Last Option

x=2,\ y=-5

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

x =\frac{Det(A_X)}{Det(A)}

y =\frac{Det(A_Y)}{Det(A)}

For this problem we know that:

Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|

Solving we have:

|A|= 4*(-2) -(-6)*8\\\\|A|=40

Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|

Solving we have:

|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80

Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|

Solving we have:

|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200

Finally

x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2

y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5

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3 years ago
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shutvik [7]
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is picking out some movies to rent, and he has narrowed down his selections to 5 documentaries, 7 comedies, 4 mysteries, and 5 h
pogonyaev

Answer: 91

Step-by-step explanation:

Given : The number of documentaries = 5

The number of comedies = 7

The number of mysteries = 4

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Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-

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Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .

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Help me please ASAP
Oliga [24]

Answer:

30

Step-by-step explanation:

if im reading the qestuion right

so she had 80 bucks she spend 20 on a ticked so she has 60 left so if im reading it right she spent all of her money so 60 divde by 2 is 30.  

hoped this helped!

3 0
2 years ago
What to numbers multiply to -38 and add to 17
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Answer:

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Step-by-step explanation:

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