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3 years ago

Compare fraction 2over 3 and 7 over 8 which is greater

2 answers:

5 0

If you use a calculator to find the exact decimal of these fractions, you can easily find this out.

2/3 as a decimal equals: 0.6666 (repeating sixes)

7/8 as a decimal equals: 0.875

0.875 > 0.666

7/8 > 2/3

7 over 8 is greater! Hope this helps! :)

posledela3 years ago

4 0

7/8 is greater than 2/3. (7/8 > 2/3)

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Solve sin4xcos2x-cos4xsin2x=square root of 2 sinx over the interval [0,2pi)

ddd [48]

$\bf sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})
\\\\\\
sin(2\theta)=2sin(\theta)cos(\theta)\\\\
-------------------------------\\\\
sin(4x)cos(2x)-cos(4x)sin(2x)=\sqrt{2}sin(x)
\\\\\\
sin(4x~~-~~2x)=sin(x)\sqrt{2}\implies sin(2x)=sin(x)\sqrt{2}
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$

$\bf 2sin(x)cos(x)=sin(x)\sqrt{2}\implies 2sin(x)cos(x)-sin(x)\sqrt{2}=0
\\\\\\
sin(x)~[2cos(x)-\sqrt{2}]=0\\\\
-------------------------------\\\\
sin(x)=0\implies \measuredangle x=0~~,~~\pi \\\\
-------------------------------\\\\
2cos(x)-\sqrt{2}=0\implies 2cos(x)=\sqrt{2}\implies cos(x)=\cfrac{\sqrt{2}}{2}
\\\\\\
\measuredangle x=\frac{\pi }{4}~~,~~\frac{7\pi }{4}$

now, we're not including the III and II quadrants, where the cosine has an angle of the same value, but is negative, because the exercise seems to be excluding the negative values of √(2).

7 0

4 years ago

Can you use the Law of Sines in the triangle below? Why or why not?

Travka [436]

No you cannot use the Law of Sines to solve the triangle.
To use the Law of Sines you need to have at least ONE angle measure.
a/Sin A = b/Sin B

a/Sin A = c/Sin C

b/Sin b = c/Sin C

4 0

3 years ago

Read 2 more answers

What is the value of x in the figure below?<br><br> (Please help?!!)

ddd [48]

60 and 2x are vertical angle which means that they are congruent.

2x = 60

Now use the equation to solve for x.

2x = 60
x = 60/2
x = 30

Hope this helps :)

7 0

3 years ago

Tell whether the angles are vertical or adjacent and solve for x. Solve 11 and 12 for 20 points and brainest.

stiv31 [10]

Answer:

11) x = 45

12) x = 30

Step-by-step explanation:

11)

3x + x = 180

4x = 180

x = 45

12)

4x = 5x - 30

4x - 5x = -30

-x = -30

x = 30

5 0

3 years ago

Hurry pls i have an test plssssssssssssssssssssssssssssssssss

Viefleur [7K]

Answer:

1. -75 ft

5/8 X -120=

5/8= 0.625

0.625*-120 = -75

2. 5

(-2/3) * (2.5) * (-3)

(2.5) * (-3) is -7.5

-7.5*(-2/3)

3 0

3 years ago