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2 years ago

What is the measure of

Mathematics

1 answer:

LenKa [72]2 years ago

3 0

Answer:

C. Ф = 4 radians

Step-by-step explanation:

Given,

Radius of the Circle (r) = 3cm

Length of the Arc (S) = 12cm

In any circle of radius r, the arc length S to the circumference equals the ratio of the angle θ subtended by the arc at the centre and the angle in one revolution. Thus, measuring the angles in radians, S=rθ.

Therefore, S = r*Ф

12 = 3*Ф

Hence, Ф = 4 radians

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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

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3 years ago

Express ✓ – 75 in its simplest form.

timofeeve [1]

Step-by-step explanation:

The correct answer is 5i $\sqrt{3}$

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2 years ago

What is the equation of a circle with center -4, 7 and radius 6

Kitty [74]

Answer:

$( x + 4 )^2 + ( y - 7 )^2 = 36$

Step-by-step explanation:

Use the circle equation, $( x - h )^2 + ( y - k )^2 = r^2$

Plug in the center and radius:

$( x + 4 )^2 + ( y - 7 )^2 = 6^2$

Simplify:

$( x + 4 )^2 + ( y - 7 )^2 = 36$

So, the equation is $( x + 4 )^2 + ( y - 7 )^2 = 36$

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2 years ago

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Nonamiya [84]

Answer:

Step-by-step explanation:

Pythagorean Theorem:

25^2=24^2+x

625=576+x^2

49=x^2

x=sqrt49

x=7

Hope this helps!

Merry Christmas!

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3 years ago

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