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aniked [119]
3 years ago
13

Find all the solutions in the interval [0,2π) sin²x = 2-2cosX

Mathematics
1 answer:
Finger [1]3 years ago
5 0

Step-by-step explanation:

sin²x = 2 - 2cosx

1 - cos²x = 2 - 2cosx (because sin²x + cos²x = 1)

cos²x - 2cosx + 1 = 0

(cosx - 1)² = 0

cosx - 1 = 0

cosx = 1

Hence x = 0.

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Can anyone tell me how to work out 4/7 of 5 ????
HACTEHA [7]
Here, 4/7 * 5
Multiply numerators together, and denominators together
It would be: 4 * 5 / 7 * 1 = 20/7

So, your final answer is 20/7

Hope this helps!


7 0
4 years ago
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Natasha_Volkova [10]
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3 years ago
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Two kids are roller skating. Amy, with a mass of 55 kg, is traveling forward at 3 m/s. Jenny, who
alekssr [168]

Answer:

They traveling at 0.37\ m/s in backward direction.

Step-by-step explanation:

Given mass of Ammy m_1=55kg

and velocity is forward at v_1=3m/s

Also, mass of Jenny m_2=40kg

Who is travelling in opposite direction v_2=-5m/s

Let velocity in forward direction is positive and velocity in backward direction is negative.

Also, velocity after crash is v

As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.

Conservation of momentum says momentum before collision should equal to momentum after collision.

m_1v_1+m_2v_2=(m_1+m_2)v

(55\times3)+(40\times(-5))=(55+40)v\\\\165-200=95v\\\\-35=95v\\\\v=\frac{-35}{95}=-0.368m/s

So, velocity after collision v≅-0.37m/s is in opposite direction. That is the direction of Jenny.

6 0
3 years ago
7. We learned that in a plane, two lines perpendicular to the same line are parallel. Use the rectangular solid below to explain
Illusion [34]

Answer:

Step-by-step explanation:

6 0
4 years ago
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romanna [79]

Answer:

C

Step-by-step explanation:

Perpendicular means the new equation's slope is -1/4

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3 years ago
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