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2 years ago

How do I write a fraction that is greater than 1/2 and less then 3/4?

1 answer:

6 0

1/2 = 50%

3/4 = 75%

So something in between that could be 2/3 (which equals 66.67% )

A few others could be: 3/5 ( equals to 60% ) , 7/10 ( equals 70%)

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Find the expression that represents the length of the hypotenuse of a right triangle whose legs measure m^2-n^2 and 2mn

My name is Ann [436]

$\bf c^2=a^2+b^2\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
------\\
a=m^2-n^2\\
b=2mn
\end{cases}\\\\\\ c^2=(m^2-n^2)^2+(\underline{2mn})^2
\\\\\\
c^2=m^4-2m^2n^2+n^4+\underline{2^2m^2n^2}
\\\\\\
c^2=m^4-2m^2n^2+n^4+{4m^2n^2}
\\\\\\
c^2=m^4+2m^2n^2+n^4\impliedby \textit{perfect square trinomial}
\\\\\\
c^2=(m^2+n^2)^2\implies c=\sqrt{(m^2+n^2)^2}\implies c=m^2+n^2$

7 0

3 years ago

Julia wrote 20 letters each month for y months in a row. Write an expression to show how many total letters Julia wrote.

scoundrel [369]

The expression would be 20y

7 0

2 years ago

For `z_1 = 9"cis" (5pi)/(6)` and `z_2 = 3"cis" (pi)/(3)`, find `(z1)/(z2)` in rectangular form.

sammy [17]

Answer:

option D is correct, i.e. 3i

Step-by-step explanation:

Given are the complex number as Z₁ = 9 cis(5π/6) and Z₂ = 3 cis(π/3)

So magnitudes are r₁ = 9, and r₂ = 3

And arguments are ∅₁ = 5π/6, and ∅₂ = π/3

We know the formula for division of complex number is given as follows:-

If Z₁ = r₁ cis(∅₁) and Z₂ = r₂ cis(∅₂)

Then |Z₁ / Z₂| = (r₁/r₂) cis(∅₁ - ∅₂)

|Z₁ / Z₂| = (9/3) cis(5π/6 - π/3)

|Z₁ / Z₂| = 3 cis(5π/6 - 2π/6)

|Z₁ / Z₂| = 3 cis(3π/6)

|Z₁ / Z₂| = 3 cis(π/2)

|Z₁ / Z₂| = 3 cos(π/2) + 3i sin(π/2)

|Z₁ / Z₂| = 3*(0) + 3i*(1)

|Z₁ / Z₂| = 0 + 3i

|Z₁ / Z₂| = 3i

Hence, option D is correct, i.e. 3i

8 0

2 years ago

A herd of 52 horses has 12 white and some black horses.what is the ratio of white to black horses ?

bagirrra123 [75]

So we have 52 horses. We know that 12 are white, so:

W : B - 12: x, where x is the unknown amount of horses.

52 - the twelve white horses = 40 other horses.

This means that there are 40 black horses, so the ration of W:B is 12:40. We can simplify this ratio.

The highest common factor of both numbers is 4, so the ratio can be divided by four, giving 3:10.

Therefore the ratio is 3:10.

Hope I helped!

8 0

3 years ago

The length of a rectangle is 6 inches more than the width. The perimeter of the rectangle can be no more than 48 inches. What is

DiKsa [7]

Answer:nodontdoit

Step-by-step explanation:

4 0

3 years ago