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3 years ago

Nathan is making a beaded bracelet. for for every 5 red beads and there are 3 white

Mathematics

1 answer:

Anni [7]3 years ago

4 0

10 : 6

The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.

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Simplify the slope of AC.

charle [14.2K]

Answer:

$\boxed{\bf \cfrac{\boxed{c}}{\boxed{a }+ b}}$

Step-by-step explanation:

Given:

$\tt (x_1,y_1) : A (0,0)$

$\tt (x_2,y_2) : C (a+b, c)$

$\boxed{\tt Slope= \cfrac{y_2,y_1}{x_2,x_1}}$

$\tt \cfrac{c - 0}{a + b - 0}$

Add zero (Anything plus zero gives itself).

$\tt \cfrac{c}{a + b + 0}$

$\tt \cfrac{c}{a + b}$

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7 0

1 year ago

Evaluate : limx→ tan2-sin2x x3

GrogVix [38]

Given:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Solve:

$\lim _{x\to0}\frac{\tan 2x-\sin 2x}{x^3}$

Use l'hopital's rule:

$\begin{gathered} =\lim _{x\to0}\frac{\frac{d}{dx}(-\sin 2x+\tan 2x)}{\frac{d}{dx}(x^3)} \\ =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \end{gathered}$

Simplify:

$\begin{gathered} =\lim _{x\to0}\frac{-2\cos (2x)+2\tan ^2(2x)+2}{3x^2} \\ =\lim _{x\to0}\frac{2(-\cos (2x)+\tan ^2(2x)+1)}{3x^2} \end{gathered}$

Apply the constant multiple rule:

$\begin{gathered} \lim _{x\to0}cf(x)=c\lim _{x\to0}f(x) \\ \text{With c=}\frac{2}{3} \\ f(x)=\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2} \end{gathered}$ $\begin{gathered} =\frac{2\lim _{x\to0}\frac{-\cos (2x)+\tan ^2(2x)+1}{x^2}}{3} \\ =\frac{2\lim _{x\rightarrow0}\frac{(4\tan ^2(2x)+4)\tan (2x)+2\sin (2x)}{2x}}{3} \end{gathered}$

Similary :

$\begin{gathered} =\frac{2\lim _{x\to0}(2\cos (2x)+12\tan ^4(2x)+16\tan ^2(2x)+4)}{3} \\ =\frac{2(6)}{3} \\ =4 \end{gathered}$

8 0

1 year ago

A photo of a beetle in a science book is increased to 705% as large as the actual size. If the beetle is 14 millimeters, what

uranmaximum [27]

Answer:

11.27cm

Step-by-step explanation:

705% of 14milimeters

705/100 X 14 = 98.7

increase by adding 98.7milimeter to 14milimeter

98.7+14= 112.7milimeter or 11.27cm

3 0

3 years ago

Please help me solve this! I’ve been stuck for ages! Thankyou

polet [3.4K]

Answer:

y = sin(x- pi/2)

Step-by-step explanation:

Please see the attached image to see your graphs.

By simple inspection we can see that the sine is shifted pi/2 to the right.

We know this because sines are periodic functions with a period T = 2*pi

We can also see that the maximum point of the graph (y = 1) got shifted by a fourth of the period.

And finally, since we want to shift the graph to the right, we need to substract from the argument of the sine term.

7 0

2 years ago

I have no idea how to do this

lakkis [162]

Add them all together and you’ll get your answer

sorry if this wasn’t any help or poorly explained

8 0

2 years ago