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AlekseyPX
3 years ago
12

What is the value of x? Round to the nearest tenth(1 decimal place)​

Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

x ≈ 15.0 ft

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Trigonometry</u>

  • tan∅ = opposite over adjacent

Step-by-step explanation:

<u>Step 1: Define</u>

Angle = 28°

Opposite leg of angle = 8 ft

Adjacent leg of angle = x ft

<u>Step 2: Find </u><em><u>x</u></em>

  1. Substitute:                                        tan28° = 8/x
  2. Multiply <em>x </em>on both sides:                 xtan28° = 8
  3. Divide tan28° on both sides:          x = 8/tan28°
  4. Evaluate:                                          x = 15.0458
  5. Round:                                              x ≈ 15.0 ft
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alexira [117]

Answer: y = 2x/3 - 5

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent.

The given line has a slope of 2/3 and it passes through (0,- 5)

To determine the intercept, we would substitute x = 0, y = - 5 and m= 2/3 into y = mx + c. It becomes

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The equation becomes

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7 0
3 years ago
Can y’all please help me
Furkat [3]

Answer:

1st blank: 160(2) - 16(2)²

2nd blank: 256

3rd blank: 5

4th blank: 400

5th blank: 10

Step-by-step explanation:

h(x) = -16x² + 160x

To find h(2) just replace x = 2 into the equation

h(2) = 160(2) - 16(2)² = 256 in

The maximum height coincides with the vertex of the parabola.

x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5

y-coordinate of the vertex: -16(5)² + 160(5) = 400

To hit the ground means h(x) = 0

-16x² + 160x = 0

16x(-x + 10) = 0

x = 0

or

-x + 10 = 0

x = 10

6 0
2 years ago
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