What is the factor 5k2

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

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7 0

11 months ago

If an object is dropped from a height of 178 feet, the function h(t)=-16t^2+178 gives the height of the object after t seconds.

svp [43]

Answer:

B. 3.34s

Step-by-step explanation:

Find t when the object hit the ground, h(t)=0.

h(t)=-16t²+178

0=-16t²+178

16t²=178

t²=11.125

t=√11.125=3.33541601603s

4 0

2 years ago

A vender sold a combined total of 131 sodas and hot dogs. The number of hot dogs sold was 31 less than the number of sodas sold.

puteri [66]

Answer:

81 sodas and 50 hotdogs

Step-by-step explanation:

131 = x + x - 31

131 + 31 = x + x - 31 + 31

162 = x + x

x = 81

131 = 81 + (81 - 31)

131 = 81 sodas + 50 hot dogs

5 0

2 years ago

258 divided by 6. divide using partial quotients

AlexFokin [52]

Answer:

43

Partial quotient (not shown)

258÷6=42

8 0

2 years ago

Alll the answers now PLEASE. i will make you the brainliest!

sveta [45]

Answer/Step-by-step explanation:

Decompose each shape, find the volume of each cuboid, and add both volumes you get together.

Recall: volume of cuboid = L*W*H

4. Volume of cuboid 1: L*W*H = 12*10*4 = 480 ft³

Volume of cuboid 2: L*W*H = 12*3*5 = 180 ft³

Volume of the shape = 480 + 180 = 660 in.³

5. Volume of cuboid 1: L*W*H = 11*2*5 = 110 yd³

Volume of cuboid 2: L*W*H = 10*4*2 = 80 yd³

Volume of the shape = 110 + 80 = 190 yd³

6. Volume of cuboid 1: L*W*H = 8*3*2 = 48 in.³

Volume of cuboid 2: L*W*H = 14*2*3 = 84 in.³

Volume of the shape = 48 + 84 = 132 in.³

7. Volume of cuboid 1: L*W*H = 5*3*2 = 30 yd³

Volume of cuboid 2: L*W*H = 6*2*5 = 60 yd³

Volume of the shape = 30 + 60 = 90 yd³

8. Volume of cuboid 1: L*W*H = 12*2*18 = 432 in.³

Volume of cuboid 2: L*W*H = 18*5*6 = 540 in.³

Volume of the shape = 432 + 540 = 972 in.³

9. Volume of cuboid 1: L*W*H = 13*11*4 = 572 ft³

Volume of cuboid 2: L*W*H = 13*6*7 = 546 ft³

Volume of the shape = 572 + 546 = 1,118 ft³

6 0

2 years ago

What is the factor 5k2 - 35k3.