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Sever21 [200]
3 years ago
6

How many 1-in. cubes can fit into a 2 by 4 by 2 in.prism?​

Mathematics
2 answers:
NeX [460]3 years ago
6 0

To find out how many 1 inch cubes can fit into a prism, we need to find the volume of both the prism and cube.

Cube:

V = 1 x 1 x 1

V = 1 in^3

Prism:

V = 2 x 2 x 4

V = 16 in^3

Then, we'll divide the volume of the prism by the volume of a single cube to figure out how many cubes can fit inside the prism.

16 / 1 = 16

16 1-inch cubes can fit into a 2 by 4 by 2 prism.

Hope this helps!! :)

wel3 years ago
3 0

Answer:

16

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly.  We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

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AURORKA [14]
1/4 probability because there is 4 suits and you are looking for one out of the four suits.<span />
3 0
3 years ago
A certain model car has a keypad with 5 numbers on the door. To open the door, 5 numbers must be entered in the correct
MrRissso [65]

Answer:  A. \dfrac{1}{120}

Step-by-step explanation:

Total digits on keypad = 5

According to permutation,

If repetition of digits is not allowed then the number of 5-digits passwords can be formed = 5!

= 5 x 4 x 3 x 2 x 1         [n!=n x (n-1) x (n-2)x ... x 1]

=120

The probability that someone guesses the correct code = \dfrac{\text{Number of correct codes}}{\text{Total possible codes}}

=\dfrac{1}{120}

Hence, the correct option is A.

8 0
3 years ago
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
kondor19780726 [428]

Answers:

x = 5

m∠C = m∠H = 38 degrees

 

 

WORKINGS

 

Given that ABCD ≅ FGHJ

We know that corresponding angles of two congruent quadrilaterals are equal

Therefore,

m∠A = m∠F

m∠B = m∠G

m∠C = m∠H

m∠D = m∠I

 

Given,

m∠C = 9x – 7

m∠H = 5x + 13

 

Since m∠C = m∠H

9x – 7 = 5x + 13

 

Add 7 to both sides of the equation

9x – 7 + 7 = 5x + 13 + 7

9x = 5x + 20

 

Subtract 5x from both sides of the equation

9x – 5x = 5x – 5x + 20

4x = 20

 

Divide both sides of the equation by 4

4x/4 = 20/4

x = 5

 

 

To determine the measures of angle C and angle H

m∠C = m∠H

 

We know that m∠C = 9x – 7

Since x = 5

m∠C = 9(5) – 7

m∠C = 45 – 7

m∠C = 38

 

Therefore, m∠C = m∠H = 38 degrees
4 0
3 years ago
A bookstore had 90 copies of a magazine. Yesterday, it sold 1/6 of them. Today, it sold 1/5 of what remained. How many copies do
MA_775_DIABLO [31]

Answer:

60 copies

Step-by-step explanation:

first you take 1/6th of the original 90 copies which is 15 and subtract that from the 90, you are left with 75 copies which is how many they had left at the end of yesterday. then you take 1/5th of the 75 copies that are left which is also 15 and you subtract that from 75 and you get 60. that's why at the end of today there are 60 copies left.

6 0
3 years ago
Will give Brainliest if you get it right
fenix001 [56]

Answer:

10.63

Step-by-step explanation:

The distance between two points is sqrt((difference between y-values)^2 + (difference between x-values)^2) -->

sqrt(8^2 + 7^2) =

sqrt(64 + 49) =

sqrt( 113) =

10.630145 -->

10.63

5 0
3 years ago
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