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salantis [7]
3 years ago
10

Find the missing of the triangle Round to the nearest tenth

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

Step-by-step explanation:

This is a 30°-60°-90° triangle, so its sides are in the ratio 1:√3:2

The side opposite the 90° angle is 11, so the side opposite the 30° angle is 11/2 = 5.5

x is opposite the 60° angle, so its length is 5.5√3 ≅ 9.5 units

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Answer:

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Step-by-step explanation:

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2 years ago
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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

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Black_prince [1.1K]
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What is the value of pi to 10 decimal places
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Answer:

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Step-by-step explanation:

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IceJOKER [234]

Answer:

(12, -6)

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  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-4x = y - 42

x = 18 + y

<u>Step 2: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em>:                                                                                                -4(18 + y) = y - 42
  2. Distribute -4:                                                                                                   -72 - 4y = y - 42
  3. [Addition Property of Equality] Add 4y on both sides:                                 -72 = 5y - 42
  4. [Addition Property of Equality] Add 42 on both sides:                                -30 = 5y
  5. [Division Property of Equality] Divide 5 on both sides:                               -6 = y
  6. Rewrite/Rearrange:                                                                                         y = -6

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Define original equation:                                                                               x = 18 + y
  2. Substitute in <em>y</em>:                                                                                                x = 18 - 6
  3. Subtract:                                                                                                           x = 12
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