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vagabundo [1.1K]
3 years ago
7

Solve this equation for d. 32.6 = 17.3 – d

Mathematics
2 answers:
Vsevolod [243]3 years ago
8 0
<span>Simplifying 32.6 = 17.3 + -1d Solving 32.6 = 17.3 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 32.6 + d = 17.3 + -1d + d Combine like terms: -1d + d = 0 32.6 + d = 17.3 + 0 32.6 + d = 17.3 Add '-32.6' to each side of the equation. 32.6 + -32.6 + d = 17.3 + -32.6 Combine like terms: 32.6 + -32.6 = 0.0 0.0 + d = 17.3 + -32.6 d = 17.3 + -32.6 Combine like terms: 17.3 + -32.6 = -15.3 d = -15.3 Simplifying d = -15.3</span>
DerKrebs [107]3 years ago
3 0
15.3 = D
15.3 + 17.3 = 32.6
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Dahasolnce [82]

Answer:

a) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}, b) x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}, x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

Step-by-step explanation:

a) The equation must be rearranged into a form with one fundamental trigonometric function first:

\sqrt{3}\cdot \csc x - 2 = 0

\sqrt{3} \cdot \left(\frac{1}{\sin x} \right) - 2 = 0

\sqrt{3} - 2\cdot \sin x = 0

\sin x = \frac{\sqrt{3}}{2}

x = \sin^{-1} \frac{\sqrt{3}}{2}

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{6}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

b) The equation must be simplified first:

\cos x + 1 = - \cos x

2\cdot \cos x = -1

\cos x = -\frac{1}{2}

x = \cos^{-1} \left(-\frac{1}{2} \right)

Value of x is contained in the following sets of solutions:

x_{1} = \frac{\pi}{3}\pm 2\pi \cdot i, \forall i \in \mathbb{N}_{O}

x_{2} = \frac{5\pi}{3}\pm 2\pi\cdot i, \forall i \in \mathbb{N}_{O}

7 0
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3 years ago
What are the x-intercept and y-intercept of the line passing through (0,-3) and (5,0)
Butoxors [25]

Answer:

y-intercept: (0, -3)

x-intercept: (5, 0)

Step-by-step explanation:

Trick question! The problem gives you the x and y intercepts. x intercept is when y is 0, and y intercept is when x = 0!

3 0
3 years ago
Use the cosine ratio or the inverse cosine to solve for x. Round your answer to the nearest tenth.
maria [59]

Answer:

x ≈ 12.6 m

Step-by-step explanation:

By using cosine ratio in the given right triangle RTS,

cos(S)° = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

cos(33)° = \frac{\text{ST}}{\text{SR}}

cos(33)° = \frac{x}{15}

x = 15.cos(33)°

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7 0
3 years ago
-9.b = 45<br> b =<br> What is the answer I need to know the answe
BaLLatris [955]

Answer:

b=-5

Step-by-step explanation:

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-9b/-9=45/-9

b=-5

7 0
3 years ago
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