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Sphinxa [80]
3 years ago
6

Solve for A if is 3.14 and R = 3

Mathematics
1 answer:
gavmur [86]3 years ago
5 0

Answer:

A = 28.26

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

Equation:   A = πr²

Given:   π = 3.14, r = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                    A = 3.14(3)²
  2. Exponents:                   A = 3.14(9)
  3. Multiply:                        A = 28.26
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The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

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<u>Find y:</u>

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The point is (3, 5)

2) <u>Line 1 and line 3</u>

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  • x + 4y = 9

<u>Triple the second equation and add up equations:</u>

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<u>Find x:</u>

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The point is (1, 2)

3) <u>Line 2 and line 3</u>

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Given:

ΔONP and ΔMNL.

To find:

The method and additional information that will prove ΔONP and ΔMNL similar by the AA similarity postulate?

Solution:

According to AA similarity postulate, two triangles are similar if their two corresponding angles are congruent.

In ΔONP and ΔMNL,

\angle ONP\cong \angle MNL       (Vertically opposite angles)

To prove ΔONP and ΔMNL similar by the AA similarity postulate, we need one more pair of corresponding congruent angles.

Using a rigid transformation, we can prove

\angle NOP\cong \angle NML

Since two corresponding angles are congruent in ΔONP and ΔMNL, therefore,

\Delta ONP\sim \Delta MNL        (AA postulate)

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Answer:

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