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3 years ago

How many cubes with side length of 1/3 cm does it take to fill the prism?

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

9514 1404 393

Answer:

120

Step-by-step explanation:

The dimension across the front in terms of cubes is ...

5/3 cm = 5×(1/3 cm) = 5 cubes

The front-to-back dimension in terms of cubes is ...

4/3 cm = 4×(1/3 cm) = 4 cubes

The height in terms of cubes is ...

2 cm = 6×(1/3 cm) = 6 cubes

Then the volume in terms of cubes is ...

V = LWH = 5×4×6 = 120 cubes

It will take 120 cubes to fill the prism.

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Y=109x y=79x+2506 can some one solve both equations and a graph would be helpful plz

Amiraneli [1.4K]

Answer:

x ≈ 83.533

y = 9105.13

Step-by-step explanation:

Step 1: Substitution

109x = 79x + 2506

30x = 2506

x = 83.533

Step 2: Plug x in

y = 109(83.533)

y = 9105.13

Graphically:

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3 years ago

Factorise 3c^2-c Please help me quick

Dafna11 [192]

Answer:

c(3c - 1)

Step-by-step explanation:

3c² - c

Common factor = c

Factored:

c(3c - 1)

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3 years ago

In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD=√2 cm.

Zielflug [23.3K]

Given that triangle ABC is right angle triangle. CD is altitude such that AD=BC

ABC is a right angle triangle so apply Pythogorean theorem

$AC^{2} + BC^{2} = AB^{2}$

$AC^{2} + AD^{2} = AB^{2}$ (Given that AD = BC)

$AC^{2} + AD^{2} = 3^{2}$ (Given that AB=3)

$AC^{2} + AD^{2} = 9$ ...(i)

ADC is a right angle triangle so apply Pythogorean theorem

$AD^{2} + CD^{2} = AC^{2}$

$AD^{2}+(\sqrt{2})^2= AC^{2}$

$AD^{2}+2= AC^{2}$

$AD^{2}=AC^{2} -2$ ...(ii)

Plug value (ii) into (i)

$AC^{2} + AC^{2}-2 = 9$

$2AC^{2} -2=9$

$2AC^{2} =11$

$AC^{2} =\frac{11}{2}$

$AC=\sqrt{\frac{11}{2} }$

Hence final answer is $AC=\sqrt{\frac{11}{2} }$

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3 years ago

Read 2 more answers

Identify the end behavior of the function f(x) = 6x^4 - 12x^3 +8x -10

goldfiish [28.3K]

Answer:

Step-by-step explanation:

This is a quartic equation with a positive coefficient for x^4 so it is shaped like an M xo ir rises to both the left and the right.

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3 years ago

Write an equation with a variable AND solve it. Mario read 72 pages of his book in class and 13 pages per night, n, until he rea

coldgirl [10]

9514 1404 393

Answer:

72 +13n = 163

7 nights

Step-by-step explanation:

At 13 pages per night, Mario will read 13n pages in n nights. That plus the pages already read will total 163:

equation: 13n +72 = 163

To solve this, we can subtract 72, then divide by the coefficient of n.

13n = 91 . . . . . . subtract 72 from both sides

n = 7 . . . . . . . . divide both sides by n

Mario read 7 nights.

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2 years ago

How many cubes with side length of 1/3 cm does it take to fill the prism?​

How many cubes with side length of 1/3 cm does it take to fill the prism?