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Andreas93 [3]
2 years ago
6

Pls help asap for 13 pls and thank u

Mathematics
1 answer:
AysviL [449]2 years ago
8 0
Answer:
The answer is 35.5 square units


Step-by-step explanation:

The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.

We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!

A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit

A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units

A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units

For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units


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I hope this helps!

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\\ \sf\longmapsto \dfrac{x^2-1}{x^2+5x+4}\leqslant 0

  • Solving denominator

\\ \sf\longmapsto x^2+5x+4>0

\\ \sf\longmapsto x^2+4x+x+4>0

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