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4 years ago

143+ [(96 + 8) 5] – 42.

Mathematics

1 answer:

Tresset [83]4 years ago

7 0

Answer:

621

Explanation:

143 + (96 + 8)(5) − 42

(96 + 8)(5)

= 520

143 + 520 - 42

= 663

663 - 42

= 621

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Find the reference angle given: t= -5π/3.

Elina [12.6K]

Answer:

The reference angle is $\frac{\pi}{3}$

Step-by-step explanation:

The given angle is $t=-\frac{5\pi}{3}$

The reference angle is the acute angle, that a given angle makes with the x-axis.

First let us make a sketch of the given angle. <em>See diagram in attachment.</em>

Let $\theta$ be the reference angle of $t=-\frac{5\pi}{3}$

Then, from the diagram, we need to subtract $\theta$ from $-\frac{5\pi}{3}$ to get to $-2\pi$ .

We can therefore write the following equation and solve for $\theta$ .

$\Rightarrow -\frac{5\pi}{3}-\theta=-2\pi$

We group like terms to get,

$\Rightarrow -\theta=-2\pi +\frac{5\pi}{3}$

We collect LCM to get,

$\Rightarrow -\theta=\frac{-6\pi+5\pi}{3}$

We simplify to get,

$\Rightarrow -\theta=-\frac{\pi}{3}$

We divide through by $-1$

$\theta=\frac{\pi}{3}$ to get,

The correct answer is D.

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3 years ago

Write the equation in point-slope form when m=1/9<br> passing through (-8, 4)

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Answer:

y-4 = 1/9(x+8)

Step-by-step explanation:

The point slope form of the equation of a line is

(y-y1) = m(x-x1)

We have a slope of 1/9 and a point (-8,4)

y-4 = 1/9(x--8)

y-4 = 1/9(x+8)

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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