What is the reciprocal of 5/6 ? How can you be sure it is the reciprocal?

Mathematics

1 answer:

gregori [183]2 years ago

7 0

Answer:

6/5 is the reciprocal of 5/6

Step-by-step explanation:

The reciprocal of a number is its multiplicative inverse. That is, the product of the number and its reciprocal is 1, the multiplicative identity element.

For a fraction, the reciprocal is the fraction with numerator and denominator interchanged. That is, the reciprocal of 5/6 is 6/5.

You can check that this is the multiplicative inverse by multiplying it by 5/6:

5/6 × 6/5 = (5×6)/(6×5) = 30/30 = 1 . . . . the multiplicative identity element

You might be interested in

Solve the equation x^2-18x+21=-3x to the nearest tenth

pav-90 [236]

Answer:

x=1.6 and x=13.4

Step-by-step explanation:

First we must bring -3x over to the left side by addin git the both sides

4 0

1 year ago

Read 2 more answers

Find the value of C that completes the square for x^2-2x + C

solniwko [45]

Answer:

C = 1.

Step-by-step explanation:

x^2 - 2x = (x - 1)^2 - 1 so:

x^2 - 2x + C = (x - 1)^2 - 1 + C

So to get a perfect square C must be 1 ( as -1 + 1 = 0):-

(x - 1)^2 - 1 + 1 = (x - 1)^2

Checking this:

x^2 - 2x + 1

= (x - 1)(x - 1) which is a perfect square./

3 0

3 years ago

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.

ollegr [7]

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

Using a ruler draw line AB 4 inches and label the end points A and B
At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
Mark that point C.
Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

$BC=\sqrt{a^2+b^2-2*a*b*cosA}$ ------where a=b=4 in , cos A = cos 60°