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mart [117]
3 years ago
11

Simplify the expression. -3x + 6 + -4x + 2

Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

-x +8

Step-by-step explanation:

3x + 6 + -4x + 2

Combine like terms

3x-4x +6+2

-x +8

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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
RECTANGLE ABCD has vertices A(-5,2) B(-5,4) C(4,4) D(4,2) calculate the area.
Assoli18 [71]

Answer:

18

Step-by-step explanation:

9*2 square

6 0
3 years ago
Mathematical word describes both 27x and 6x in the expression 27x+6x?
Maslowich

The mathematical word describing  both 27x and 6x in the expression 27x+6x is "<u><em>addition</em></u>"

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For the given case, the terms were 27x and 6x and the expression formed from them is 27x+6x

This means both the terms were added together, as denoted by '+' (called 'plus') sign.

When two terms are written with 'plus' sign in between, then that means they're added to each other and the result will be addition of both of their's values.

Thus, the mathematical word describing  both 27x and 6x in the expression 27x+6x is <u><em>addition</em></u>"

Learn more about addition here:

brainly.com/question/14148883

7 0
2 years ago
The perimeter of an equilateral triangle is at most 45centimeters. Find the possible length of each side.
MAXImum [283]
Imdomt really understand but i done 180 divide 3 = 60
4 0
3 years ago
I need help plz what’s the answer
Irina-Kira [14]
The person she should go to is Melinda
6 0
3 years ago
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