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2 years ago

How to simplify this equation

Mathematics

1 answer:

Ainat [17]2 years ago

6 0

6square root of 3 (numerator) over÷ square root of 3 and square root of 3. Then you get 6 square root of 3 over ÷ 3=2 square root of 3.
Take time mate) Good day.

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A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the gras

Zanzabum

Answer:

78.5 ft²

Step-by-step explanation:

In this situation, the dog's 5 ft leash is the radius of the circle that he forms.

So, the radius is 5.

Use the area formula, A = $\pi$ r². Plug in 5 as r, and 3.14 as $\pi$

A = $\pi$ r²

A = (3.14)(5²)

A = (3.14)(25)

A = 78.5

So, the area of the grass he can cover is 78.5 ft²

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2 years ago

Please help |x+10| , if x=−12

Pani-rosa [81]

Answer:

Step-by-step explanation:

All you do is substitute x.

Add.

|-12 + 10|

Find the absolute value of |-2|.

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4 0

3 years ago

Find the volume of the garden shed

Leno4ka [110]

Answer:

47.3 m³

Step-by-step explanation:

The garden shed is made up of a rectangular prism and a pyramid.

<h3><u>Volume of a rectangular prism</u></h3>

$\begin{aligned}\textsf{Volume of a rectangular prism}&=\sf width \times length \times height\\&=4 \times 4 \times 2\\&=16 \times 2\\&=32\;\; \sf m^3\end{aligned}$

<h3><u>Volume of a pyramid</u></h3>

<u />

From inspection of the given diagram, the slant height of the pyramid is 3.5 m.

Calculate the perpendicular height of the pyramid using Pythagoras Theorem:

$\begin{aligned}\implies a^2+b^2&=c^2\\2^2+h^2&=3.5^2\\h^2&=8.25\\h&=\sqrt{8.25}\;\; \sf m\end{aligned}$

Therefore:

$\begin{aligned}\textsf{Volume of a pyramid}&=\dfrac{\sf length \times width \times height}{3}\\\\&=\dfrac{\sf 4 \times 4 \times \sqrt{8.25}}{3}\\\\& = 15.31883372\;\; \sf m^3\end{aligned}$

<h3><u>Volume of the garden shed</u></h3>

$\begin{aligned}\implies \textsf{Volume of shed}&=\textsf{Volume of rectangular prism}+\textsf{Volume of pyramid}\\&=32+15.31883372\\& = 47.3\;\; \sf m^3\;(nearest\;tenth)\end{aligned}$

6 0

11 months ago

Read 2 more answers

Suppose that you are in a class of 33 students and it is assumed that approximately 15% of the population is left-handed. (give

AysviL [449]

15% of 33 =

= 15% * 33

= 0.15 * 33

= 4.950 students in that class are left-handed

3 0

3 years ago

Rachel is 40 cm taller than Lucy. Rachel is 25 percent taller than Lucy. How tall is Lucy? Explain

tatyana61 [14]

What is 40cm 25% of?
The answer is 160cm.

Rachel is 160cm. 160 - 40 = 120.

Lucy is 120cm tall.

5 0

2 years ago