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Natasha2012 [34]
2 years ago
12

[Please, help me. I need it quickly]If cosA+sinA=√2, then prove A=45°.

Mathematics
1 answer:
Dmitrij [34]2 years ago
6 0

Step-by-step explanation:

Start by squaring both sides

cosA+sinA=\sqrt{2}

cos^2A+2cosAsinA+sin^2A=2

Apply Trig identity

cos^2x+sin^2x=1

2cosAsinA+1=2

2cosAsinA=1

Apply Trig Identity

2cosxsinx=sin(2x)

sin(2A)=1

2A=arcsin1

arcsin(1) is a known value \frac{\pi }{2}

2A=\frac{\pi }{2}

A=\frac{\pi }{4}

\pi radians=180^o

A=\frac{180^o}{4}=45^o

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The track club runs the 50-yard dash. How many inches do they run?
kiruha [24]

Answer:

1800in

Step-by-step explanation:

3ft=1yd

3x50=150ft

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8 0
2 years ago
Read 2 more answers
PLEASE HELP
katrin2010 [14]

The game that is  used for the scenario above in terms of fair play is  using a balloon. Here, the player will hit the balloon.

<h3>What is the scenario under the balloon game?</h3>

The rule of play are:

This is a classic game with simple rules which are:

  • Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,
  • Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.

A scenario of the worksheet game whose expected value is 0 is given below:

Assume that it costs about $1 for a player to play the billon game and as such, if  the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.

Solution

Note that a  game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4.  So when the player do not hit a balloon, it drops to $1.

(4)(0.313) + (-1)(0.313)

= 0.939 approximately

Thus, the expected value is $0.939 which tells that the game is fair.

Learn more about fair play from

brainly.com/question/24855677

#SPJ1

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What property is y(x+5)
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A baker uses a coffee mug with a diameter of 8cm to cut out circular cookies from a big sheet of cookie dough. What is the area
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