What is the product of 4/5x2 3/4 written in simplest form

1 answer:

3 0

First, you convert 2 3/4 to a improper fraction, which is 11/4. Then you multiply 4/5 with 11/4, after you cross simplify the fractions, you can multiply 1/5 with 11/1, which equals 2 1/5. Hope can help you a little bit. :)

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Rearrange the formula to highlight the height

Kobotan [32]

Answer:

$h = \frac{2A}{b+c}$

Step-by-step explanation:

Original Equation:

$A = \frac{1}{2} (b+c)h$

Divide both sides by height

$\frac{A}{h} = \frac{1}{2}(b+c)$

Raise both sides to the exponent -1 :

$(\frac{A}{h})^{-1} = (\frac{1}{2}(b+c))^{-1}$

Rewrite using the definition of a negative exponent: $(\frac{a}{b})^{-x} = (\frac{b}{a})^{x}$

$\frac{h}{A} = \frac{1}{\frac{1}{2}(b+c)}\\$

Multiply 1/2 by (b+c)

$\frac{h}{A} = \frac{1}{\frac{b+c}{2}}\\$

Keep, change, flip

$\frac{h}{A} = \frac{1}{1} * \frac{2}{b+c} = \frac{2}{b+c}$

Multiply both sides by A

$h = \frac{2A}{b+c}$

Also I forgot to mention but the exponent (-1) can be ignored after you flip it, since: $(\frac{a}{b})^x = \frac{a^x}{b^x}$ , but since in our case the exponent is 1, and $a^1 = a$ , so there's really no need to write out the distribution part, since we just get the same fraction, after flipping it.