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tankabanditka [31]
3 years ago
8

Find the Lateral area for the regular pyramid. (Keep it as a Square Root)

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0

1. You must apply the following formula: 


 LA=<span>1/2 ×(Perimeter of the base)(Slant length)</span>

<span>
</span>

<span> 2. The slant length is (By </span><span> the Pythagorean Theorem):</span>

<span> a</span><span>^2=b^2+c^2</span>

<span> </span><span>a= b^2+c^2</span>

<span> a</span><span>=</span><span>√(</span><span>1^2+3^2)</span>

<span> </span><span>a=√10</span>

<span>
</span>

<span> 3. </span><span>The p</span><span>erimeter of the base is:</span>

<span>
</span>

<span> </span><span>P=2+2+2+2</span>

<span> </span><span>P=8</span>

<span>
</span>

<span> 4. </span><span>Then, you have:</span>

<span>
</span>

<span> LA=</span><span>1/2 ×(Perimeter of the base)(Slant Length)</span>

<span> LA=</span><span>1/2 ×(8)(</span><span>√</span><span>10)</span>

<span> LA=</span><span>(</span><span>8√10)/2</span>

<span> LA=</span><span>4√10</span>

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Answer:

30 to 48, 40/64

Step-by-step explanation:

Which ratios are equivalent to 10:16, and they gave us 30 to 48, 25:35, 40/64, 8/32 and 5 to 15.

For 30 to 48, we can mulitply the 10:16 by 3 to give us 30:48, so it is <u>equal</u>.

For 25:35, we simplify it to 5:7, while 10:16 is 5:8, so they are <u>not equal</u>.

For 40/64, we can take 10:16 and multiply them by 4, getting the same number. Therefore, it is <u>equal</u>.

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Lastly, for 5 to 15, w can simplify that to 1/3, and get 5:8 for 10:16, so it <u>won't be equal.</u>

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Due to its weakening steel industry, Clay County has been experiencing population decline of 3% every year. The current populati
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An increasing exponential function is modeled by:

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In which:

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In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.

The equation is given by:

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A(t) = 10300(1 + 0.03)^t

A(t) = 10300(1.03)^t

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