N; n + 2 - the two consecutive even integers
n + 3(n + 2) = 46
n + 3n + 6 = 46 <em> |subtract 6 from both sides</em>
4n = 40 <em> |divide both sides by 4</em>
n = 10
n + 2 = 10 + 2 = 12
<u>Answer: 10 and 12.</u>
Answer:
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Step-by-step explanation:
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Answer:
115mm
Step-by-step explanation:
5/x = 3/69
5/x = 1/23
5*23 = x
115 = x
Step-by-step explanation:
Area of a trapezium = SOPS/2 × ph
Sops is the sum of 4+10 = <u>1</u><u>4</u>
14/2 is 7. 7×4 = <u>2</u><u>8</u>
<u>A</u><u> </u><u>=</u><u> </u><u>2</u><u>8</u><u>c</u><u>m</u><u>²</u>
Area = L×W
10×6= 60cm²
Answer:
<h2><em>29.4 length and 21.4 width.</em></h2>
Step-by-step explanation:
To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:
.
In addition, we know that the total area is 970 and the length is 8 ft longer than the width (
). So:
![A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0](https://tex.z-dn.net/?f=A_%7Btotal%7D%20%3D%20%28L%2B6%29%28W%2B6%29%5C%5C970%20%3D%20%28W%2B8%2B6%29%28W%2B6%29%5C%5C970%3DW%5E%7B2%7D%2B20W%2B84%5C%5CW%5E%7B2%7D%2B20W-886%3D0)
With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions:
and
Therefore, the width is 21.4 ft, because the negative number cannot represent distances.
Using the relation between length and width:
![L=W+8\\L=21.4+8=29.4](https://tex.z-dn.net/?f=L%3DW%2B8%5C%5CL%3D21.4%2B8%3D29.4)
<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>