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3 years ago

GEOMETRY HELP! This is my last question and I don’t know what the answer is! Please help!

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

7 0

Temporarily subdivide the given area into two parts: a large rectangle and a parallelogram. Find the areas of these two shapes separately and then combine them for the total area of the figure.

By counting squares on the graph, we see that the longest side of the rectangle is the hypotenuse of a triangle whose legs are 8 and 2. Applying the Pyth. Thm., we find that this length is √(8^2+2^2), or √68. Similarly, we find the the width of this rectangle is √(17). Thus, the area of the rectangle is √(17*68), or 34 square units.

This leaves the area of the parallelogram to be found. The length of one of the longer sides of the parallelogram is 6 and the width of the parallelogram is 1. Thus, the area of the parallelogram is A = 6(1) = 6 square units.

The total area of the given figure is then 34+6, or 40, square units.

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Answer:

Step-by-step explanation:

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Hello! Hope I can assist you.

Let us simplify some terms first!

$6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn$
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$36mn-2\cdot \:3^2mn+48mn+72mn$

From here, group like terms
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$\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn$
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$156mn-18mn$

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Hope this helps!

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Four times a number added to seven times the number equals 55

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The effective rate is calculated in the following way:
$r = {(1 + \frac{i}{n} )}^{n} - 1$
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our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
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