Complete the transformation below:

Mathematics

1 answer:

Verdich [7]2 years ago

4 0

Answer:

a c

Step-by-step explanation:

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If average of m numbers is n^2 and average of n numbers is m^2 then average of m+n numbers is

kkurt [141]

The sum of the m numbers divided by m (which is the average) equals n^2. Then, the sum of the m numbers equals mn^2.
The sum of the n numbers divided by n (which is the average) equals m^2. Then, the sum of the n numbers equals nm^2.
The average of m+n numbers which is the sum of the m numbers plus the sum of the n numbers divided by (m+n) equals (mn^2+nm^2)/(m+n). This is mn(n+m)/(m+n). Then the factor (m+n) can be ruled out and the result is mn.

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3 years ago

Prove that sin20sin40sin60sin80=3/16

never [62]

We'll use the following properties of sine and cosine to prove this:

$sin(a)\cdot sin(b) = \frac12(cos(a-b) - cos(a+b))$

$cos(a)\cdot cos(b) = \frac12(cos(a+b) + cos(a-b))$

$cos(180+a) = cos(180-a)$

Then it's just a matter of filling it in...

sin20sin40 * sin60sin80 = 1/2(cos20 - cos60) * 1/2 (cos20 - cos140) =

1/8( cos40 + 1 - cos160 - cos120 - cos40 - cos80 + cos80 + cos200) =

1/8(1 - cos160 - cos120 + cos200) =

1/8(1 - cos160 - cos120 + cos160) =

1/8(1 - cos120 ) = 1/8( 1 + 1/2 ) = 3/16

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3 years ago

Find the volume of a cube with the given side: 2cm

Roman55 [17]

Volume is length x width x height.

A cube has the same length, width and height.

The volume of the cube is 2 x 2 x 2 = 8cm

Answer: 8 cm

Happy to help!

8 0

3 years ago

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The length of the rectangle is six times its width if the perimeter is 70cm find its area

Vesna [10]

Answer:

Step-by-step explanation:

Perimeter is 70 m

so w + w + 6w + 6w = 70

w = 70/14 = 5, l = 30m.

Area = l * w = 30 * 5 = 150 sq m

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3 years ago

Select the table of values where the quadratic function changes direction at a different value of x than the others. A. x -3 -2

daser333 [38]

Answer:

D. hope the best for you.

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3 years ago