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3 years ago

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Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

In my opinion a is the coorest answer

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Help will mark brainlist if it correct If each edge of a cube is increased by 2 inches, the

Anastasy [175]

Answer:

D. sum of these edges is increased by 24 inches -- True

Step-by-step explanation:

Given a cube and its edge is increased by 2 inches.

To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.

Solution:

Let the side of original cube = a inches.

Formula for volume of cube:

$V =side^3 = a^3$

If the side is increased by 2 inches, the side becomes (a+2) inches.

So, new volume, $V' = (a+2)^3$

Using the formula:

$(x+y)^3 =x^3+y^3+3xy(x+y)$

$V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)$

So, $V' = V + 8+6a(a+2)$

Volume increased by 8+6a(a+2) [which is not equal to 8]

So, statement is false:

A. volume is increased by 8 cubic inches -- False

Each face in a cube is a square.

Area of each face, A = $side^2 = a^2$

New area, A' = $(a+2)^2$

Using the formula: $(x+y)^2 =x^2+y^2+2xy$

$A' = a^2+4+4a$

Area increased by 4+4a [which is not equal to 4 sq inches]

B. area of each face is increased by 4 square inches -- False

Diagonal of each face = $a\sqrt2$

Increase of 2 in the edge:

New diagonal = $(a+2)\sqrt2 = a\sqrt2+2\sqrt2$

So, increase of $2\sqrt2$ not 2.

C. diagonals of each face is increased by 2 inches -- False

There are 12 number of edges in a square.

So sum of all 12 edges = 12a

When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24

An increase of 24.

D. sum of these edges is increased by 24 inches -- True

4 0

3 years ago

Which equation is equivalent to 162º –

Lady bird [3.3K]

Im pretty sure it’s the last one.

7 0

3 years ago

Find the least common denominator for these two rational expressions 4/x -4/2x^2

Whitepunk [10]

Remark
To find any common denominator, write down all the prime factors and pick out what you need to make an LCD.

Method
x has one x
2x^2 = 2 * x * x

Your LCM is
one 2
two xs.
LCM = 2*x*x
LCM = 2x^2

8 0

4 years ago

Read 2 more answers

What is 6x to the third power?

murzikaleks [220]

Answer:

216x

Step-by-step explanation:

Write it out: $6x^{3}$
$6^{3} = 216$
Add in x: 216x

I hope this helps!

8 0

3 years ago

Read 2 more answers

is it true when a linear function eventually exceeds a quadratic function with a positive leading coefficient

Serjik [45]

I think you yes it does because,Systems consisting of a linear equation and a quadratic equation ... Interpret parts of an expression, such as terms, factors, and coefficients. ..... a Leading Coefficient of 1: .... eventually exceed the growth rates of the other.

4 0

4 years ago