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8 months ago

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A small cottage is 24 feet long by 40 feet wide the owners plan to double the width and increase the length of the cottage by 20

feet how much larger will the area of the new cottage be

1 answer:

Alla [95]8 months ago

4 0

Answer: The new cottage will be 2,560 square feet larger than the small cottage.

Step-by-step explanation:

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Vanessa is cutting 200 centimeter long pieces of string to attach to balloons how many pieces can she cut from 40 m of string.

Ainat [17]

200 cm is 2 m so 40m/2m = 20. Thus she will have 20 pieces

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2 years ago

A rectangle has an area of 72 swaure units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4. What i

vichka [17]

Answer:

8 units

Step-by-step explanation:

<u>Area of a rectangle</u> = <em>Width</em> multiplied by Length

Substitute in all the known numbers into this formula to get

<u>72</u> = <em>(9)</em> × $(2x+4)$

Solve the equation for x, to find out the length

$9(2x+4)=72$

$2x+4=72/9$

$2x+4=8$

$2x=8-4$

$2x=4$

$x=4/2$

$x=2$

Length of the rectangle = $(2x+4)$

$2(2)+4$

$4+4=8$

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2 years ago

How many times smaller is 2 × 10^-10 than 4 × 10^-5

natta225 [31]

Answer:

200,000

Step-by-step explanation:

To find how many times smaller is smaller number than greater number, divide greater number by smaller number.

Greater number $=4\times 10^{-5}$

Smaller number $=2\times 10^{-10}$

Then

$\dfrac{\text{Greater number}}{\text{Smaller number}}\\ \\=\dfrac{4\times 10^{-5}}{2\times 10^{-10}}\\ \\=\dfrac{4}{2}\times \dfrac{10^{-5}}{10^{-10}}\\ \\=2\times \dfrac{1}{10^{-5}}\\ \\=2\times 10^5\\ \\=2\times 100,000\\ \\=200,000$

7 0

2 years ago

use the identity below to complete the tasks a^3-b^3=(a-b)(a^2+ab+b^2) when using the identity for the difference of two cubes t

zheka24 [161]

Answer:

see explanation

Step-by-step explanation:

Given that the the difference of cubes is

a³ - b³ = (a - b)(a² + ab + b²)

Given

64 $x^{6}$ - 27 ← a difference of cubes

with a = 4x² and b = 3, thus

= (4x²)³ - 3³

= (4x² - 3)(16 $x^{4}$ + 12x² + 9) ← in factored form

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2 years ago

Read 2 more answers

What is the simplified expression for

Anni [7]

Answer:

<h2>a) - a² + 5ab + 8</h2>

Step-by-step explanation:

$3a^2+9ab+5-4a^2-4ab+3\qquad\text{combine like terms}\\\\=(3a^2-4a^2)+(9ab-4ab)+(5+3)\\\\=-a^2+5ab+8$

4 0

2 years ago