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Blababa [14]
3 years ago
10

Evaluate sin 5pi/4 Thank you

Mathematics
2 answers:
Verizon [17]3 years ago
8 0

Answer:

-sqrt(2)/2

Step-by-step explanation:

5pi/4 lies in the third quadrant with basic angle: 5pi/4 - pi = pi/4

sin(pi/4) = sqrt(2)/2

Since it's in quadrant 3, sin would be negative

sin(5pi/4) = -sqrt(2)/2

sqrt: square root

kondaur [170]3 years ago
3 0

Answer:

3.92699081699

Step-by-step explanation:

\frac{5(3.14)}{4}\\=15.7/4

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Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel
nydimaria [60]

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

\theta=\frac{\pi}{3}

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be=r=cos\frac{\pi}{3}i-sin\frac{\pi}{3}j=\frac{1}{2}i-\frac{\sqrt 3}{2}j

By using cos\frac{\pi}{3}=\frac{1}{2},sin\frac{\pi}{3}=\frac{\sqrt 3}{2}

Force along the plane will be=\mid F_x\mid=F\cdot r

Force along the plane will be =\mid F_x\mid=F\cdot (\frac{1}{2}i-\frac{\sqrt 3}{2}j)=-8j\cdot(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=8\times \frac{\sqrt 3}{2}=4\sqrt 3N

By using i\cdot i=j\cdoty j=k\cdot k=1,i\cdot j=j\cdot k=k\cdot i=j\cdot i=k\cdot j=i\cdot k=0

Therefore, force along the plane=\mid F_x\mid(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)

2.The vector perpendicular to the plane=r=-sin\frac{\pi}{3}-cos\frac{\pi}{3}=-\frac{\sqrt 3}{2}i-\frac{1}{2}j

The force perpendicular to the plane=\mid F_y\mid=F\cdot r=-8j(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

The force perpendicular to the plane=4N

Therefore, F_y=4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

Sum of two component of force=F_x+F_y=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)+4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

Sum of two component of force=2\sqrt 3i-6j-2\sqrt3 i-2j=-8j

Hence,sum of two component of forces=Total force.

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3 years ago
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dimulka [17.4K]

Answer:

they saved the same amount of money each month

Step-by-step explanation:

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3 years ago
What transformation occurs to f(x) in the function f(x)-7
BlackZzzverrR [31]

Answer:

left 7

Step-by-step explanation:

5 0
3 years ago
The sum of these fractions is between which two whole numbers?
kherson [118]
3 4/6 + 1 3/6 = 4 7/6 = 5 1/7
Therefore the answer is B. the sum is between 5 and 6

Hope that helps
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Question 5. How do I find the answer? I am lost
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