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Kitty [74]
3 years ago
8

Find the area of the figure to the nearest tenth.

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

26.58 this might be the answer

Step-by-step explanation:

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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
Read 2 more answers
Evaluate 5m2 for m=4
jolli1 [7]
If the question is 5m^2 the answer is 80. And if the question is 5m2 then it is 40
4 0
3 years ago
Read 2 more answers
East of Star, the railroad tracks intersect highway 23o as shown above. If 1=133 , find 2.
GrogVix [38]
Hi there.

These two angles sum up to be 180 degrees, so they are supplementary angles. Now, since these angles sum up to 180 degrees (to form a straight line), we only have to subtract 133 from 180 to find angle 2's measurement.

180 - 133 = 47

Angle 2's measurement is 47 degrees.

Voila! 

I hope this helps! Have a great day. :)
6 0
3 years ago
The millers house is 25 yards from mrs shapiro’s Haus how many feet apart are the two houses
maw [93]

Answer: 75 feet


3 Feet = 1 Yard


5 0
3 years ago
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A stack of 150 pieces of paper is 2.5 cm thick how many pieces of paper are in a pile 6.5 CM thick​
umka21 [38]

Find the scale factor of the height:

6.5cm / 2.5cm = 2.6

Multiply the known pages by the scale factor:

150 x 2.6 = 390 pieces of paper.

5 0
3 years ago
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