Write an expression to match the statement 1/5 of the difference between 18 and 11

Mathematics

2 answers:

Artemon [7]3 years ago

8 0

$(18 - 11) \div 5$

marishachu [46]3 years ago

7 0

We have to write an expression for the statement "1/5 of the difference between 18 and 11".

To do that we can break the given statement into smaller pieces like "1/5 of " and "the difference between 18 and 11"

difference means use subtraction so

the expression for the substatement "the difference between 18 and 11" will be (18-11)

Now we can club this with left out statement "1/5 of ".

word "of" indicates product.

So expression for the statement "1/5 of the difference between 18 and 11", will be

$\frac{1}{5}(18-11)$

Hence final answer is $\frac{1}{5}(18-11)$ .

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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>

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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>

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