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hjlf
3 years ago
12

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

135 cubes

Step-by-step explanation:

step 1

Find the volume of one cube

we know that

The volume of the cube is equal to

V=b^3

where

b is the length side of the cube

we have

b=\frac{1}{3}\ units

substitute

V=(\frac{1}{3})^3

V=\frac{1}{27}\ units^3

step 2

Find out how many 1/3 unit cubes does it take to fill the prism

Divide the volume of the prism by the volume of one cube    

so

5:\frac{1}{27}=5(27)= 135\ cubes

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mezya [45]

Answer:

D

Step-by-step explanation:

You have 2 5 12 13 right triangles.

x = 2 * 5

x = 10

4 0
3 years ago
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If g(x) = - 2 x^2 + 6 , find g(x) when x= - 4<br><br> Pls answer
laila [671]

Answer:

70

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7 0
3 years ago
Please answer this if you can thank you :))
krek1111 [17]

<u>Answer:</u>

The variable that has the highest power is considered to be the degree of polynomials in an algebraic equation.

A column:

1) 4x^3 .

The degree is 3.

2)x^2+4.

The degree is 2.

3) x-2

The degree is 1.

B column:

1) 2x^2+1

The degree is 2.

2) x^2-x

The degree is 2.

3) x^3-5x^2+1

The degree is 3.

A×B columns:

While Multiplying two terms in a equation, if the variables are same then multiply the constant value and sum the exponent value.

1) (4x^3)(2x^2+1).

=8x^5+4x^3.

The degree is 5.

2) (x^2+4)(x^2-x).

=x^4-x^3+4x^2-4x.

The degree is 4.

3) (x-2)(x^3-5x^2+1).

=x^4-5x^3+x-2x^3+15x^2-3.\\=x^4-7x^3+15x^2+x-3.

The degree is 4.

3 0
3 years ago
The function f(x) = 2x2 + 3x + 5, when evaluated, gives a value of 19. What is the function’s input value?
Brums [2.3K]
The function's input value is 2.

f(x) = 2x² + 3x + 5
f(x) = 2(2)² + 3(2) + 5
f(x) = 2(4) + 6 + 5
f(x) = 8 + 11
f(x) = 19
8 0
3 years ago
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If AB= 5 what is the exact length of BD in square ABCD ​
Afina-wow [57]

Answer:

sqrt 50

Step-by-step explanation:

First of all this is a square so if AB = 5, then AD is also 5.

Let's get rid of the other triangle and only focus on triangle ABD.

Using Pythagorean theorem we are able to solve this problem.

The Pythagorean Theorem basically states that:

a^2 + b^2 = c^2

Where a and b are the legs and c is the hypotenuse, aka the thing that we are trying to solve for right now.

Substitute these numbers in: 5^2 + 5+2 = c^2

Solve: 50 = c^2

c= sqrt 50

^ and that is our answer!

5 0
3 years ago
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