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just olya [345]
3 years ago
14

Round the following decimal to the nearest tenth.543.67 ◯543.6 ◯543.68 ◯543.7 ◯543.670 ◯544​

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

543.7, 543.6, 543.7, 543.7, 543., 544.0

Step-by-step explanation:

Free_Kalibri [48]3 years ago
5 0

Answer:

543.7

Step-by-step explanation:

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Write the set of real numbers x less than 6 in set builder notation
maksim [4K]

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

  • x is a real number
  • x is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

6 0
2 years ago
What are the exact values of sin(2π3radians) and cos(2π3radians)
deff fn [24]
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°

Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2

the answer part a) is
sin(2π/3)=√3/2

Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2

the answer part b) is
cos (2π/3)=-1/2
8 0
2 years ago
Plz help math #5 questions
vekshin1
Okay , wheres the questions at tho...?


5 0
3 years ago
Is this linear or not and why
Fittoniya [83]

Answer:

  • Yes

Step-by-step explanation:

Both equations of this system are of degree one.

They are both linear as the graph of both is a line.

5 0
2 years ago
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a fish tank has a height of 30 inches, length of 20 inches, and a width of w 25 inches. how many cubic inches will the tank hold
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Answer:

Here is your answer!

Step-by-step explanation:

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