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faltersainse [42]
3 years ago
10

Please help! 12 points

Mathematics
1 answer:
Ivahew [28]3 years ago
8 0

Answer:

Step-by-step explanation:

sin2x = 2sinx*cosx

         = 2\sqrt{sin^{2}x } * cosx

         = 2\sqrt{(1-cos^{2}x } * cosx

         = 2  \sqrt{1-\frac{3}{5} ^{2} } *\frac{3}{5}

         = \frac{8}{5}  * \frac{3}{5}  

         = 24/25        

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What is the value of x -6/7=-x/84?
AURORKA [14]

Answer:

x = 72 / 85

Step-by-step explanation:

x -6/7=-x/84

x + x/84 = 6/7

84/84x + 1/84x = (12*6) / (12*7)

85/84x = ( 72 ) / ( 84 )

85/84x = 72 / 84

Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:

84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }

{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )

(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)

x = 6048 / 7140

x = 72 / 85

6 0
3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

           h = thickness of slick, 10⁻⁶m

If 0.5m³ of oil leaked, then the radius of the semicircular slick can be calculated from equation (1)

V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

r =     10³/√π

dV/dt =   πrh dr/dt  + 0.5π r² dh/dt----------------------------------- (2)

Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

r=  10³/√π

dr/dt= rate of expansion of the slick

Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

dr/dt = 0.1  x 10⁶/ ( π x 10³/√π)

       =  17.9479 m/s

       ≅  17.9  m/s

8 0
4 years ago
Q ÷ 2 -qp ÷ 6; let p = -6 and q = 10
ozzi

Answer:

15

Step-by-step explanation:

1. Plug in the values.

q=10

p=-6

10÷2-(10)(-6)÷6

2. Use PEMDAS.

10÷2+60÷6

5+10

15

5 0
3 years ago
Help me out pretty please guys​
egoroff_w [7]
What do you need help with? There is no picture or anything so...
8 0
3 years ago
Whats the square root of 9
kolezko [41]
There are two solutions to this question, one is positive and the other is negative:
\sqrt{9} =3\ or\ -3
7 0
3 years ago
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