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LiRa [457]
3 years ago
5

Solve x+7 <4 with a line under the less sign

Mathematics
1 answer:
suter [353]3 years ago
3 0
<span>x+7 <4 
Subtract 7 from both sides so that the only thing remaining on the left side is the x variable.
Final Answer: x<= -3</span>
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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 with homework! thank you!!
KatRina [158]

Answer:

If 22 is an option, go with it. I am pretty certain it is correct.

Step-by-step explanation:

Find pie for both circles

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5 0
3 years ago
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yulyashka [42]

Answer:

no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12

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2 years ago
What’s equivalent to 1/3 with the denominator of 6
podryga [215]

Answer:

2/6

Step-by-step explanation:

Ok, so if the fraction is 1/3 and the denominator needs to be 6, then what you do is figure out what would turn 3 into 6. So, 3 x 2 would equal 6 and then you would have to also keep that two and multiply that 2 with the 1 and you would get 2. That would lead to the numerator being 2 and the denominator being 6, or 2/6.

8 0
3 years ago
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Order the following numbers from least to greatest.<br> Put the least value on the left.
ad-work [718]

Answer:

-5/2, -2, 1.7

Step-by-step explanation:

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2 years ago
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