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topjm [15]
3 years ago
8

Solve 3.5x-2.8=-3.8x-7.2 graphically

Mathematics
1 answer:
pshichka [43]3 years ago
3 0

x= -0.6

The graph is attached in the figure below.

Step-by-step explanation:

Solve 3.5x-2.8=-3.8x-7.2

Simplifying:

3.5x-2.8=-3.8x-7.2

Combining like terms:

3.5x+3.8x=-7.2+2.8\\7.3x=-4.4\\x=\frac{-4.4}{7.3}\\x=-0.6

x= -0.6

The graph is attached in the figure below.

Keywords: Graph the equation

Learn more about Graphing the equation at:

  • brainly.com/question/12967961
  • brainly.com/question/10879401
  • brainly.com/question/3126500

#learnwithBrainly

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PLEASE WILL GIVE 50 POINTS PLEASE ANSWER ​
leva [86]

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

\sf \tan(A)=\dfrac{60}{45}

Therefore:

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  • side adjacent angle A = AC = 45

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

\implies\sf \tan(A)=\dfrac{60}{45}

\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)

\implies\sf A=53^{\circ}\:(nearest\:degree)

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

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