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3 years ago

A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

8 x 2 x 5 = 80

So the volume of the prism would be 80 cubic centimeters

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The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width

Elza [17]

P = perimeter

Perimeter of a rectangle = l + l + w + w

or P = 2l + 2w

You know:

P = 150 m

l = w + 5 [length is 5 m greater than the width]

P = 2l + 2w Plug in what you know

150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10 Subtract 10 to both sides of the equation

140 = 4w Divide 4 on both sides

35 = w

PROOF l = w + 5 ---> l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

4 0

3 years ago

Can anyone help me please?

miss Akunina [59]

Answer:

5. -18x^3y^4 +54x^2y^4

6. 6x^2 -40x +50

Step-by-step explanation:

Use the distributive property. The factor outside parentheses multiplies each term inside parentheses.

$(9xy)(-2x^2y^3+6xy)=(9xy)(-2x^2y^3)+(9xy)(6xy^3)\\\\=\boxed{-18x^3y^4+54x^2y^4}$

$(3x-5)(2x-10)=3x(2x-10)-5(2x-10)\\\\=6x^2-30x-10x+50=\boxed{6x^2-40x+50}$

7 0

2 years ago

Need help asap !

frutty [35]

The triangle to solve for has a leg or 12 feet, hypotenuse of 20 feet, so solve for Pythagoras $a^{2} + b^{2} = c^{2}$ for a

$a = \sqrt{c^{2} -b^{2}}$

a = 16 feet

5 0

3 years ago

A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where

marta [7]

Answer:

$Height =3$

Step-by-step explanation:

Given

$Length = x + 2$

$Width = x - 2$

$Height = x$

$Volume = 15$

Required

Find the height

The volume is calculated as thus:

$Volume = Length * Width * Height$

This gives

$15 = (x + 2) * (x - 2) * x$

Apply difference of two squares

$15 =(x^2 - 4 ) * x$

$15 = x^3 - 4x$

Subtract 15 from both sides

$x^3 - 4x - 15 = 0$

Using a calculator to factorize, we have:

$(x-3)(x^2+3x+5) = 0$

Split

$x - 3 = 0$ or $x^2 + 3x + 5 = 0$

$x = 3$ or $x^2 + 3x + 5 = 0$

x has complex roots for $x^2 + 3x + 5 = 0$

Hence:

$x = 3$

Recall that:

$Height = x$

$Height =3$

3 0

3 years ago

consider the diagram points a and alarm straight line points PNC loan a straight line and point B and D lie on a straight line d

katrin2010 [14]

Answer:

false

Step-by-step explanation:

6 0

4 years ago