All categories

3 years ago

A rectangle has an area of 24x^3 and a length of 4x^2 meters. what is the width of the rectangle

Mathematics

1 answer:

lys-0071 [83]3 years ago

6 0

Answer:

Step-by-step explanation:

The area is given by the formula ...

A = LW

Fill in the given values and solve for width.

24x^3 = (4x^2)W

W = (24x^3)/(4x^2) = 6x

The width of the rectangle is 6x.

You might be interested in

Evaluate the expression when c=4 and d=48. d-6c

Rama09 [41]

Answer:

Step-by-step explanation:

since c=4 and d=48, we can re-write this equation

48-6 x 4

48 - 24

5 0

2 years ago

What is 57.82 ÷ 0.784 (show ur work)

faltersainse [42]

Answer:

73.75

Step-by-step explanation:

$\frac{57.82}{0.784}$
Multiply numerator and denominator by 1000:

$\frac{57820}{784}$

Divide 57820 by 784 to get 7
Now divide 2940 by 784 to get 3

Now divide 5880 by 784 to get 7

Now divide 3920 by 784 to get 5

The solution of the long division is :

73.75

8 0

2 years ago

What is the simplest form of ^4sqrt324x^6y^8

svetlana [45]

$\rm{\green{Answer \: is:-}}$

$3xy \sqrt[24]{ {4x}^{2} }$ (3xy^2 4 sqrt 4x^2)

Step-by-step explanation:

<h3>Hope it's helpful to you</h3>

3 0

2 years ago

Vanessa wants to determine the perimeter around her garden. She makes an small model of her garden and combines all the sides: 3

son4ous [18]

Answer:

Step-by-step explanation:

since it's all addition, we can remove the parentheses

$3x + x + 10 + 5x + 2x + 2 = 56$

Now we combine like terms

$3x+x+5x+2x+10+2=56$

$11x+12=56$

We subtract both sides by 12 to get,

$11x=44$

now we divide both sides by 11

$x=\frac{44}{11}$

$x=4$

8 0

3 years ago

Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed

lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

$\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

h = 18cm
V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

$\implies \sf 1715=\pi r^2 (18)$

$\implies \sf r^2=\dfrac{1715}{18 \pi}$

$\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}$

<u>Surface Area of a Cylinder</u>

$\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}$

Substitute the given value of h and the found value of r into the formula and solve for SA:

$\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)$

$\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)$

$\implies \sf SA=813.3908956...$

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

8 0

2 years ago

Read 2 more answers