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neonofarm [45]
3 years ago
10

An insecticide contain 86 centigrams of inert ingredient for every 1 centigram of active ingredient. If a quantity of the insect

icide weighs 522 centigrams, how much of each type of ingredient does it contain?
Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

In each quantity of 87 cg, 1 of them is active ingredient. In the quantity of interest,

... (1/87)·522 cg = 6 cg . . . is active ingredient

The remainder of that quantity, 516 cg, is inactive ingredient.

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Answer: 13%

Step-by-step explanation:

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Solving two-step and multiply equation
Elza [17]

3x-8=4

add 8 to both sides

3x=12

then divide by 3

x=4

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3 years ago
If the angle between each blade of the wind turbine is the same, and each blade has a length of 20 meters, find the distance bet
Ket [755]

A typical windmill has three blades. We can envision these blades in a circle, which a circle = 360 degrees. We want to divide up the angles of the blades so they are even or makes up 360 degrees. We have three blades so we have 3 angles to divide by 360 degrees. So, 360 / 3 = 120 degrees. Now that we know the angle of the blades, we can use the Law of Cos to solve the distance between the blade tip.


Law of Cos

c^2 = a^2 + b^2 - 2(a)(b)(\cos A)


We know

a = 20

b = 20

A = Angle = 120


We need to solve for c

c^2 = a^2 + b^2 - 2(a)(b)(\cos A)


Take the square root of each side of the =

\sqrt{c^2} = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}

c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}

Input the values we know into the formula and solve for c:

c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}

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c = \sqrt{400 + 400 - 2(20)(20)(\cos 120)}

c = \sqrt{800 - 2(20)(20)(\cos 120)}

c = \sqrt{800 - 2(400)(\cos 120)}

c = \sqrt{800 - 800(\cos 120)}

c = \sqrt{800 - (-400)}

c = \sqrt{1200}

c = 20\sqrt{3}

c = 34.641016

c = 34.64


We now have our answer, which is 34.64 and that is C.






3 0
4 years ago
The area of circle Z is 64ft?.
Dennis_Churaev [7]

Answer:

r=8

Step-by-step explanation:

Using the formula they gave us you could plug in the area (64) and divide it by pi which cancels out the pi so taking the square root of 64 gives you 8FT

Hope this helps :)

7 0
3 years ago
Read 2 more answers
What is the length of x
Temka [501]

Immediate math help from PAID TUTORS. (paid link)Click here to see ALL problems on Triangles
  Question 118094: Find the length x in the triangle. Side 1=8. Side 2=x. Side 3=12 (Scroll Down for Answer!)Did you know that Algebra.Com has hundreds of free volunteer tutors who help people with math homework? Anyone can ask a math question, and most questions get answers!Check it Out!OR get immediate PAID help on:
Type Your Question Go!!! Answer by jim_thompson5910(34119) About Me  (Show Source):You can put this solution on YOUR website!I'm assuming that the triangle is a right triangle and that side 3 is the hypotenuse. 

We basically have this triangle set up: 
 Since we can see that the triangle has legs of 8 and x with a hypotenuse of 12, we can use Pythagoreans theorem to find the unknown side. 

Pythagoreans theorem: 
a%5E2%2Bb%5E2=c%5E2 where a and b are the legs of the triangle and c is the hypotenuse 


8%5E2%2Bx%5E2=12%5E2 Plug in a=8, b=x, and c=12. Now lets solve for x 

6+4+%2B++x++%5E+2+=+1+4+4 Square each individual term 
 


+x++%5E+2+=+1+4+4+-+6+4 Subtract 64 from both sides 

+x++%5E+2+=+8+0 Combine like terms 

s+q+r+t+%28++x++%5E+2+%29+=+s+q+r+t+%28+8+0+%29 Take the square root of both sides 

x=4%2Asqrt%285%29 Simplify the square root 

Which approximates to... x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6 
So our answer is x+=+8+.+9+4+4+2+7+1+9+0+9+9+9+9+1+6....
3 0
4 years ago
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