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MAVERICK [17]
3 years ago
11

HOW DO YOU SOLVE THIS QUICKLY. GIVING32 POINTS. CONVERT THIS INTO TAN(68) WITH STEPS.

Mathematics
2 answers:
exis [7]3 years ago
6 0

https://www.mathcelebrity.com/anglebasic.php?entry=68&coff=&pl=tan

go to the link

fomenos3 years ago
4 0

Answer:

  • See below

Step-by-step explanation:

<u>Use identities:</u>

  • sin 2x = 2sinxcosx
  • cos 2x = cos²x - sin²x

<u>Simplify the given:</u>

  • sin 2x / (1 - cos 2x) =
  • 2sin x cos x / (sin² x + cos² x - cos² x + sin² x) =
  • 2sin x cos x / 2sin² x =
  • cos x / sin x =
  • cot x = tan (90° - x) (in the quadrant I)

<u>Apply to the given:</u>

  • sin (44°) / (1 - cos (44°)) =
  • tan (90° - 44°/2) =
  • tan (90° - 22°) =
  • tan  (68°)

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Answer:

Brody purchased 16 songs.

Step-by-step explanation:

Ratio of the number of songs purchased by Brody(B) and Jayliah(J) = 2 : 3

\frac{B}{J}=\frac{2}{3} ------(1)

Similarly ratio of the songs purchased by Jayliah(J) and Sadie(S) = 4 : 5

\frac{J}{S}=\frac{4}{5} -------(2)

If Sadie bought the songs (S) = 30

From equation (2),

\frac{J}{30}=\frac{4}{5}

J = \frac{4\times 30}{5}

J = 24

By substituting the value J = 24 in equation (1),

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B = \frac{2\times 24}{3}

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3 0
3 years ago
In a right triangle, the hypotenuse is three inches more than twice the length of one leg. If the other leg is 12 inches, what i
andrew-mc [135]

Answer:

Length of hypothenuse = 13 inches

Length of other leg = 5 inches

Step-by-step explanation:

A triangle has three sides and three angles. A right angle triangle has 90 degrees as one of the angles. The remaining two angles are complimentary. This means that the sum if the other two angles is 90 degrees.

The longest side is the hypotenuse. The shorter sides are the opposite and adjacent.

In this triangle, the hypotenuse is three inches more than twice the length of one leg. Let the length of one leg be x inches.

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The other leg is 12 inches.

The diagram is illustrated in the attached photo.

Applying Pythagoras theorem,

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(2x+3)(2x+3)= 144 + x^2

4x^2 + 6x + 6x + 9 = 144 + x^2

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Length of hypothenuse = 2x + 3

= 2×5 + 3 = 10 + 3 = 13 inches

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