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Gekata [30.6K]
4 years ago
11

Find exact solutions of

Mathematics
1 answer:
MrRa [10]4 years ago
5 0

Answer:

Step-by-step explanation:

cos(2x+√3)+cos 2x=0

2 cos (2x+√3+2x)/2 cos (2x+√3-2x)/2=0

or cos(2x+√3/2) cos √3/2=0

or cos (2x+√3/2)=0=cos (2n+1)π/2

or 2x+√3/2=(2n+1)π/2

or x=(2n+1)π/4+√3/4

x=π/4+√3/4=(π+√3)/4,(3π+√3)/4,(5π+√3)4,(7π+√3)/4,(9π+√3)/4,(11π+√3)/4,(13π+√3)/4,(15π+√3)/4

(4π=4×3.14=12.56 nearly)

or

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Tell wheter x and y show direct variation. Explain your reasoning. x = 5/8y
inessss [21]
X varies directly as y would be
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5 0
3 years ago
There are 20 pieces of fruit in a bowl and 8 of them are
Scilla [17]
40% of the pieces of fruit in the Bowl are apples.
Step-by-step explanation:
Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.
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and
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4 0
3 years ago
Help me please
Feliz [49]

Answer:

100

Step-by-step explanation:

100-30=70

70÷10=7

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6 0
3 years ago
Read 2 more answers
Find the value of x in the isoscleles triangle sqrt45 and altitude 3​
Alisiya [41]

Answer:

c.\hspace{3}x=12

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

x=2a

And we can find a easily using pythagorean theorem:

(\sqrt{45} )^{2} =3^{2} +a^{2}

Solving for a:

a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\

a^{2} =36\\\\a=\sqrt{36} \\\\a=6

Therefore:

x=2a\\\\x=2(6)\\\\x=12

8 0
4 years ago
Helpppppppp meeeee please ASAP
Aleks [24]

Answer:

(9, 13, 22)

Step-by-step explanation:

We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!

5 0
3 years ago
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