All categories

3 years ago

How do you find the solution of this proportion? 4/9 = m2-1/54 m2 is m to the power of 2

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

±5sqrt(6)/6 = m

Step-by-step explanation:

4/9 = m^2-1/54

Add 1/54 to both sides

4/9+ 1/54 = m^2-1/54 +1/54

4/9+ 1/54 = m^2

Get a common denominator of 54

4/9 *6/6 + 1/54 = m^2

24/54 + 1/54 = m^2

25/54 = m^2

Take the square root of each side

±sqrt(25/54) = sqrt(m^2)

±sqrt(25/54) = m

±sqrt(25)/sqrt(54) = m

±sqrt(25)/sqrt(9)sqrt(6) = m

±5/3sqrt(6) = m

±5/3sqrt(6) *sqrt(6)/sqrt(6) = m

±5sqrt(6)/3*6 = m

±5sqrt(6)/6 = m

You might be interested in

Clark wants to figure out how many pens to order for the office. There are 24 workers, and he needs to order one pen for each wo

Minchanka [31]

24-6-6=12
so he needs 12 blue pens to order

4 0

3 years ago

A number is first decreased by 40% and then again decreased by 60%. Find the percentage increase or decrease in the whole sum...

dangina [55]

Answer:

It is decreased by 76 percent.

Step-by-step explanation:

The key skills are percentage and multiplication with percentages.

You first have to get a variable. Let's use the letter o as a variable (o For orginial cost).
Then we have to find out how much it is when o is decreased by 40 percent. 100% (or the whole) - 40% is 60%. Therefore, with a 40 percent decrease, It would be 60% of o, or 0.6o.
Then, if it decreases by 60 percent, the final number would be 100% - 60 % or 40% of 0.6o. This means itbwould be 0.4 × 0.6o which is 0.24o
0.24o means that o is 24 percent of its orginial number, which is 100% - 24% or a 76 percent decrease.

Hope you understood and have a nice day!

5 0

3 years ago

If 2 men and 3 boys can do a piece of work in 8 days whole 3 men and 4 boys will do it in:

Lynna [10]

Answer:

I think D. 6 days

Step-by-step explanation:

let me know if im wrong..

5 0

4 years ago

How do I do this equation

xxTIMURxx [149]

Put down. 10 9 8. a=10 b=9 and c=8. write down 1 through to 10 on the number line and circle 10 9 8 and write a line this way <-------

4 0

3 years ago

HELP ME !! AND EXPLAIN HOW YOU GOT IT.

Juli2301 [7.4K]

Answer: G = 50°, I = 50°, H = 80°

Step-by-step explanation:

First and foremos, the sum of three angles of a triangle is 180°

2x + 2x + (4x - 20) = 180°

8x - 20 = 180°

8x = 180° + 20 (adding 20 on both sides)

8x = 200°

x = 200/8

x = 25

The value of the angles can be found by replacing the value of x with 25

2x = 2 x 25 = 50°

Therefore, the angle of two angles are 50°

And the other is (4 x 25) -20 = 80°

4 0

3 years ago