Plz help me with this two question

Multiply and simplify. 2/3 * (1/3 + 3 1/4)=?

kondor19780726 [428]

2/3 × (1/3 + 3 1/4)
= 2/3 (1/3 + 13/4)
= 2/3 (43/12)
= 43/18
= 2 7/18

5 0

2 years ago

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Find the exact value

Mnenie [13.5K]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

<h3>How to find the exact value of a trigonometric expression</h3>

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }$

$\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }$

$\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}$

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is $\frac{\sqrt{2+\sqrt{3}}}{2}$ .

To learn more on trigonometric functions: brainly.com/question/15706158

#SPJ1

7 0

1 year ago

Write an equation of the line given the two points below (Write your equation in slope-intercept form, y=mx+b): (-4, 4) and (6,

kari74 [83]

Answer:

m = -0.8

Step-by-step explanation:

Use slope formula: (y2 - y1) / (x2 - x1)

Apply formula: ( 8 ) / (-10)

Simplify: -4 / 5

Please mark for brainliest!! :D Thanks!

For any more questions or explanation / information, please comment below and I'll respond ASAP :)

4 0

2 years ago

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Consider polynomial function f(x)=(x-1)^2(x+3)^3 (+1) Use the equation to complete each statement about this function.

Ber [7]

Answer:

I got you my man

Step-by-step explanation:

Blank 1: 2

Blank 2: 3

Blank 3: 1 only

3 0

2 years ago

Evaluate the expression when a = 4.

Rus_ich [418]

2(4)^3

2(64)

=128 Your final answer would be C

6 0

2 years ago

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