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4 years ago

In a art class, there are 32 pens to 40 brushes what is the ratio of pens to brushes written as a fraction in simplest form ?

Mathematics

1 answer:

kolezko [41]4 years ago

4 0

32/40 is the fraction to 32:40 and if u simplify it, it would be 4/5

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What is the LCD of x-3, x+3, and <img src="https://tex.z-dn.net/?f=x%5E2-9" id="TexFormula1" title="x^2-9" alt="x^2-9" align="ab

Agata [3.3K]

The least common denominator is one, since all of these numbers are actually whole numbers. They're actually all $\frac{x-3}{1} \frac{x+3}{1} \frac{x^2-9}{1}$
If you mean the greatest common factor, then it's obviously $x$

3 0

3 years ago

Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

4 0

3 years ago

7:11 and 21:33 yes or no

grandymaker [24]

Yes!! They both are equivalent.....

7 0

3 years ago

The question is in the picture

yawa3891 [41]

Answer: May you show the angle we are supposed to solve? its a bit unclear. or can you explain the angle to us?

Step-by-step explanation:

6 0

3 years ago

Find the point of intersection<br> y=-3x-3<br> y=-3

Alla [95]

The answer would be -3

5 0

3 years ago