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Papessa [141]
3 years ago
5

a rectangular office is divided into two identical Parts using a curtain as shown in the diagram what is the area of one trapezo

idal section of the office

Mathematics
2 answers:
xxMikexx [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The area of trapezoid is given by the formula : \frac{1}{2}(a+b)*h

Where a and b are the length of two parallel lines.

h is the distance between both lines.

Plugging the values in formula :

Area = \frac{1}{2}(4+10)*10

Area = \frac{1}{2}*14*10

Area = 7*10

Area = 70 square feet

So thr area of one trapezoid is 70 square feet.   :   Answer

Hope it will help :)

Verizon [17]3 years ago
5 0

Answer:

70feet

Step-by-step explanation:

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Step-by-step explanation:

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Bob: (90000 x 1.06 - 90000) x 3 = 16200

17191.44 > 16200

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Step-by-step explanation:

8 0
2 years ago
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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>

<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
1 year ago
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Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?
allochka39001 [22]

Answer:

A

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

5 0
3 years ago
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