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balu736 [363]
3 years ago
10

Make M the subject (TRANSPOSITION)

Mathematics
2 answers:
Neporo4naja [7]3 years ago
8 0

Factor M on the right hand side:

I = M\left(\dfrac{R^2}{4}+\dfrac{l^2}{12}\right)

We can rewrite the parenthesis as

I = M\left(\dfrac{3R^2}{12}+\dfrac{l^2}{12}\right) \iff I = M\left(\dfrac{3R^2+l^2}{12}\right)

Now we can divide both sides by the parenthesis, and we have

I = M\left(\dfrac{3R^2}{12}+\dfrac{l^2}{12}\right) \iff I = M\left(\dfrac{3R^2+l^2}{12}\right) \iff I\left(\dfrac{12}{3R^2+l^2}\right) = M \iff M=\dfrac{12I}{3R^2+l^2}

Artemon [7]3 years ago
7 0

Answer:

M = \dfrac{12l}{3R^2+l^2}

Step-by-step explanation:

I = \dfrac{MR^2}{4}+\dfrac{Ml^2}{12}\Big|\cdot 12 \\ \\ 12l = 3MR^2+Ml^2 \\ \\ 12l = M(3R^2+l^2) \\ \\ M = \dfrac{12l}{3R^2+l^2}

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35/11 = 3.18..... 

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Please help .<br> From the equation, what is the value of the radius, r ? x2 + y2 = 144
ale4655 [162]

Answer:

should be 12 if the x and y are squared. If you meant 2x and 2y than 12 is incorrect.

Step-by-step explanation: 144=r^2.

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3 years ago
Need a little help with one please
Pani-rosa [81]

Answer:

That would be the side-side-side (SSS) postulate, which states that if all the sides of a triangle are in a fixed ratio to all the corresponding sides of another triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Looking at triangles ABC and DEF, we notice that:

\frac{AB}{DE} = \frac{AC}{DF}=\frac{BC}{EF}

since

\frac{3}{18} = \frac{6}{36}=\frac{7}{42}=\frac{1}{6}

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A restaurant operator in Accra has found out that during the lockdown,if she sells a plate of her food for Ghc 20 each,she can s
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The demand equation illustrates the price of an item and how it relates to the demand of the item.

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

From the question, we have:

Plates = 300

Price = 20

The number of plates (x) decreases by 10, while the price (y) increases by 5. The table of value is:

\begin{array}{cccccc}x & {300} & {290} & {280} & {270} & {260} \ \\ y & {20} & {25} & {30} & {35} & {40} \ \end{array}

The slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

So, we have:

m = \frac{25-20}{290-300}

m = \frac{5}{-10}

m = -\frac{1}{2}

The equation of the demand is as follows:

The initial number of plates (300) decreases by 10 is represented as: (300 - 10x).

Similarly, the initial price (20) increases by 5 is represented as: (20 + 5x).

So, the demand equation is:

R(x) = (300 - 10x) \times (20 + 5x)

Open the brackets to calculate the maximum revenue

R(x) =6000 + 1500x - 200x - 50x^2

R(x) =6000 + 1300x - 50x^2

Equate to 0

6000 + 1300x - 50x^2 =0

Differentiate with respect to x

1300 - 100x =0

Collect like terms

100x =1300

Divide by 100

x =13

So, the price at maximum revenue is:

Price= 20 + 5x

Price= 20 + 5 * 13

Price= 85

In conclusion:

  • The slope of the demand function is -1/2
  • The equation of the demand function is: R(x) = (300 - 10x) \times (20 + 5x)
  • The price that maximizes her revenue is: Ghc 85

Read more about demand equations at:

brainly.com/question/21586143

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san4es73 [151]

Answer:

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Step-by-step explanation:

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