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2 years ago

How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?

Mathematics

2 answers:

vodomira [7]2 years ago

8 0

Answer

Option B: 3 blocks

Step-by-step explanation

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gtnhenbr [62]2 years ago

7 0

Answer: 3

Step-by-step explanation:

Given

The dimension of the small block is

$\dfrac{1}{3}\times 1\times 1$

The Volume of the cube having unit length is

$V=1\times 1\times 1\\V=1\ unit^3$

The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.

$\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3$

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Answer:

$0.30

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3 years ago

Please help me on this problem

Orlov [11]

Answer:

The Proof with Figure, Statement and Reasons is given below.

Step-by-step explanation:

Given:

∠DAF ≅ ∠EBF,

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Prove:

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Proof:

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3 years ago

Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k

-Dominant- [34]

Answer:

k can either be

−

Step-by-step explanation:

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0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

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k2−(4×1×36)=0

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6 0

2 years ago

xz_007 [3.2K]

Answer:

1) $n = 84$

2) $n = 78$

3) $n = 24$

4) $n = 16$

5) $n = 35$

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

$\frac{5}{12} = \frac{35}{n}$

$5n = 35*12$

Simplifying both sides by 5

$n = 7*12 = 84$

Question 2:

$\frac{n}{52} = \frac{180}{120}$

$120n = 52*180$

Simplifying both sides by 20

$6n = 52*9$

Simplifying by 3

$2n = 52*3$

Simplifying by 2

$n = 26*3 = 78$

Question 3:

$\frac{18}{n} = \frac{21}{28}$

$21n = 18*28$

Simplifying both sides by 7

$3n = 18*4$

Simplifying both sides by 3

$n = 6*4 = 24$

Question 4:

$\frac{n}{4} = \frac{24}{6}$

$\frac{n}{4} = 4$

$n = 16$

Question 5:

$\frac{10}{16} = \frac{n}{56}$

$16n = 56*10$

Simplifying by 2, both sides

$8n = 56*5$

Simplifying by 8, both sides

$n = 7*5 = 35$

4 0

3 years ago

How to solve for slope? (pre algebra)

STALIN [3.7K]

Answer:

Ok! When given points, to find the slope, you would use this equation: y2-y1/x2-x1. Let me demonstrate. In this set to find the slope with the coordinates (10,8) and (14,20), the y2 value is 20, and the y1 value is 8, and the x2 value is 14, and the y1 value is 10. So, your equation would look like this: (20-8)/(14-10), which simplifies to 12/4, or 3! So the slope is three, and that's how you do that when using an equation. OR, you could graph them, but that isn't too reliable so I do not recommend trying it, since you may not create the right slope.

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2 years ago