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Rom4ik [11]
3 years ago
7

Help please :) (14 points)

Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

40.38 Is the answer :)

Step-by-step explanation:

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Step-by-step explanation:

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Use 3.14 for PI( π ) <br><br> Diameter: 5 ft <br> Formula: A= πr2
Liula [17]

Answer:

\boxed {\boxed {\sf 19.625 \ ft^2}}

Step-by-step explanation:

The area of a circle is found using this formula:

a= \pi r^2

We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.

  • r=d/2
  • r= 5 ft/2
  • r= 2.5 ft

We know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.

a= (3.14)* (2.5 \ ft)^2

Solve the exponent.

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a= (3.14)*(6.25 \ ft^2)

Multiply.

a=19.625 \ ft^2

The area of the circle is <u>19.625 square feet.</u>

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8. Let ABCD be a parallelogram with A on top left, B on top right, D on bottom left and C on the bottom right. Prove that opposi
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Answer:

Step-by-step explanation:

A parallelogram is a quadrilateral with four sides.

Given parallelogram ABCD, to prove that opposite sides of the parallelogram are congruent.

Join D to B, the diagonal of the parallelogram which is also a traversal.

So that;

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Also, diagonals;

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Then;

      ΔABD = ΔCBD (Angle-Side-Angle, ASA, property)

Thus;

     /AB/ ≅ /CD/ (corresponding sides of congruent triangles are congruent)

    /BC/ ≅ /AD/  (corresponding sides of congruent triangles are congruent)

Therefore, the opposite sides of the parallelogram ABCD are congruent.

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