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Trava [24]
3 years ago
6

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Mathematics
1 answer:
ozzi3 years ago
5 0

Answer:

\sf x=\boxed{18.21}

Step-by-step explanation:

Assuming this is a right triangle.

<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

Given:

  • \theta = 35°
  • O = x
  • A = 26

\implies \sf \tan(35^{\circ})=\dfrac{x}{26}

\implies \sf x=26\tan(35^{\circ})

\implies \sf x=18.20539599...

Therefore, x = 18.21 (nearest hundredth)

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What is the value of a in the equation 3a + b = 54, when b = 9?
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3 years ago
What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25
Jobisdone [24]

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

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y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

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-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

ory = -5(x-3)^2 + 20

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Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

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4 years ago
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