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gregori [183]
3 years ago
12

Simplify 5c(2/5d-4)-3(c+2)+d(c+5)

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Hey there!

-3(c+2)+d(c+5)

All you have to do is DISTRIBUTE

-3(c) + (-3)(2) + d(c) + d(5)

-3c - 6 + cd + 5d

SOLVE ABOVE and you have your ANSWER

Answer: cd - 3c + 5d - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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Answer:

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Step-by-step explanation:

The composite figure consists of one rectangle and two triangles. We can add up the area of these individual shapes to find the total area of the irregular figure.

<u>Formulas</u>:

  • Area of rectangle with base b and height h: A=bh
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By definition, the base and height must intersect at a 90 degree angle.

The rectangle has a base of 10 and a height of 5. Therefore, its area is A=10\cdot 5=50.

The smaller triangle to the left of the rectangle has a base of 2 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 2\cdot 5=5.

Finally, the larger triangle on top of the rectangle has a base of 5 and a height of 5. Therefore, its area is A=\frac{1}{2}\cdot 5\cdot 5=12.5.

Thus, the area of the total irregular figure is:

50+5+12.5=\boxed{67.5\text{ [square units]}}

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