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Deffense [45]
3 years ago
12

A helicopter blade does 3206 full turns in 7 minutes. Work out the number of full turns per minute? Then work out how many turns

the 30 minute flight takes thereafter.
Mathematics
1 answer:
ANEK [815]3 years ago
6 0

Answer:

458 turns/min ----- 13740/30 min

Step-by-step explanation:

3206/7 (min) = 458

458 x 30 (min) = 13740

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(3cosx-4sinx) + (3sinx+4cosx) = 5
Ksenya-84 [330]
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0

Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º      (360º-53.13º=306.87)

sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º

The solutions when  0≤x≤360º are:  36.87º and 306.87º.


3 0
3 years ago
8=4w/3, if using this expression what is w equal to?
pogonyaev
8 = 4w/3                    Original Problem.
4w/3 = 8                    Flip Flopped the problem around.
4w = 24                     Multiplied each side by 3.
w = 6                         Divided each side by 4.

Answer: w = 6
8 0
3 years ago
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Can anyone help me with this please
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It’s b here is proof of what i got
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