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alukav5142 [94]
3 years ago
7

Hey guys pls help help me Find the Area of the Rhombus

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0

Answer:

210 m²

Step-by-step explanation:

The area of a rhombus is d₁ * d₂ * 0.5. In other words, the area is its diagonals multiplied together and divided by 2.

Substitute the measures of the diagonal given.

35 * 12 * 0.5 = 210

The area is 210 m²

I hope this helps! Feel free to ask any questions!

Why is (D₁ + D₂)/2 incorrect?

This is a really helpful link:

http://mathandmultimedia.com/2015/03/04/why-the-area-of-a-rhombus-half-the-product-of-its-diagonals/

https://byjus.com/maths/area-of-rhombus/

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The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

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<em>a</em> = initial value

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It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

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