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3 years ago

Volume problem please help quick

Mathematics

2 answers:

CaHeK987 [17]3 years ago

6 0

Answer:

Option C; Option D; Option E

Step-by-step explanation:

~ The volume of this prism is calculated through the general Base * height formula, in other words length * width * height ~

Here the length ⇒ 2x + 5, the width serves as ⇒ 2x- 5, and the height ⇒ 3x

1. Knowing the dimensions, let us apply the formula length * width * height to substitute and simplify to the point: ( 2x + 5 ) * ( 2x - 5 ) * ( 3x )

2. Through the process of simplification, we derive the answer ( s ):

( 2x + 5 ) * ( 2x - 5 ) * ( 3x ) = 3x * ( 4x^2 - 25 ) =

( 3x ) * ( 2x )^2 - ( 5 )^2 = 12x^3 - 75x; Option C

3x * ( 4x^2 - 25 ); Option D 

or ⇒ ( 2x + 5 ) * ( 6x^2 - 15x ) =

( 2x + 5 ) * ( 2x - 5 ) * ( 3x ) = 12x^2 - 75x; Option C

( 2x + 5 ) * ( 6x^2 - 15x ); Option E

 

sleet_krkn [62]3 years ago

5 0

Answer:

Answer is D

Step-by-step explanation:

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3 years ago

3x ^2 - 9 x y ^2+ 12 X ^3Y^2

shepuryov [24]

$\huge \boxed{\mathfrak{Question} \downarrow}$

$3 x ^ { 2 } y - 9 x y ^ { 2 } + 12 x ^ { 3 } y ^ { 2 }$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

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$3\left(x^{2}y-3xy^{2}+4x^{3}y^{2}\right)$

Consider $x^{2}y-3xy^{2}+4x^{3}y^{2}$ . Factor out $xy$ .

$xy\left(x-3y+4x^{2}y\right)$

Rewrite the complete factored expression.

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3 years ago

6. Find QR, if area and altitude PS of ∆PQR are given ar(∆PQR) = 180 cm2, PS = 15

Slav-nsk [51]

Given:

Area and altitude PS of ∆PQR are ar(∆PQR) = 180cm² and PS = 15.

To find:

The measure of side QR.

Solution:

According to the given information, PS is an altitude of ∆PQR. It means QR is the base of ∆PQR.

We know that, the area of a triangle is

$Area=\dfrac{1}{2}\times Base\times Height$

$ar(\Delta PQR)=\dfrac{1}{2}\times QR\times PS$

Substituting the given values, we get

$180=\dfrac{1}{2}\times QR\times 15$

$180\times 2=QR\times 15$

$360=QR\times 15$

Divide both sides by 15.

$\dfrac{360}{15}=QR$

$24=QR$

Therefore, the measure of side QR is 24 cm.

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3 years ago