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Lelu [443]
3 years ago
6

Clare has a set of cubes with a volume of 1 cm³ each. She also has a box with a volume of 24 cm³. Exactly two layers of cubes ca

n fit in this box. How many cubes must be in each layer? its a school problem I'm having trouble with
Mathematics
1 answer:
Damm [24]3 years ago
5 0

Answer:

12 cubes

Step-by-step explanation:

If the total volume of the box is 24 cm³ and the volume of each cube is 1 cm³ then that means that 24 total cubes can fit perfectly inside the box. Since there can only be two layers of cubes then we simply need to divide the total amount of cubes that will fit in the box by 2 to find the number of cubes in each layer...

24 / 2 = 12 cubes

Finally, we can see that each layer within the box will contain 12 cubes

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Suppose R = {1,3,5,7,9,11,13,15,17} and D={3,6,9,12,15,18,21,24,27} r d
Free_Kalibri [48]

The intersection of sets R and D is give by the following set:

R ∩ D = {3, 9, 15}.

<h3>What is the missing information?</h3>

This problem is incomplete, but researching it on a search engine, we find that it asks the intersection of sets R and D.

<h3>What is the set that is the intersection of two sets?</h3>

The set that is the intersection of two sets is composed by the elements that belong to both sets.

For this problem, the sets are given as follows:

  • R = {1,3,5,7,9,11,13,15,17}.
  • D={3,6,9,12,15,18,21,24,27}

Hence the intersection is given by:

R ∩ D = {3, 9, 15}.

As the elements 3, 9 and 15 are the only ones that belong to both sets.

More can be learned about intersection of sets at brainly.com/question/11439924

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3 0
1 year ago
Hardest math question ever
ohaa [14]
<h2>Part a)</h2>

You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.

Another name for plane X could be:

  • Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.

<h2>Part b)</h2>

Coplanar means 'on the same plane'.

The points on the same plane as point A are:

  • B, C and F.

<h2>Part c)</h2>

Collinear means 'on the same line'.

Other points on the same line as point C are:

  • A or B.

<h2>Part d)</h2>

The line that intersects ED is:

  • AC, it can be also named AB or BC.

5 0
1 year ago
Billy’s mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was
pantera1 [17]

Answer:

Billy

Step-by-step explanation:

come on really?

3 0
3 years ago
Read 2 more answers
Find the angle between the hands of a clock at 5:15<br><br> A 60<br> B 67.5<br> C 75
Viktor [21]

Answer:

Option B is correct.

67.5 degree

Step-by-step explanation:

To find the angle between the hands of a clock.

Given that:

Hands of a clock at 5 : 15.

We know that:

A clock is a circle and it always contains 360 degree.

Since, there are 60 minutes on a clock.

\frac{360^{\circ}}{60 minutes} = 6^{\circ} per minutes

so,  each minute is 6 degree.

The minutes hand on the clock will point at 15 minute,

then, its position on the clock is:

(15) \cdot 6^{\circ} = 90^{\circ}

Also, there are 12 hours on the clock

⇒Each hour is 30 degree.

Now, can calculate where the hour hand at 5:00 clock.

⇒5 \cdot 30 =150^{\circ}

Since, the hours hand is between 5 and 6 and we are looking for 5:15 then :

15 minutes is equal to \frac{1}{4} of an hour

⇒150+\frac{1}{4}(30) = 150+7.5 = 157.5^{\circ}

Then the angle between two hands of clock:

⇒\theta = 150.75 -90 = 67.5^{\circ}

Therefore, the angle between the hands of a clock at 5: 15 is: 67.5 degree.

4 0
3 years ago
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Max makes a scale drawing of distance between salt lake city and Arizona. The distance between salt lake city and Arizona is 21
Elena L [17]
750 kilometers. 21 divided by 7 is 3. If 7 cm equals 250 km, then 7 × 3 = 250.
8 0
3 years ago
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