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3 years ago

Carlos made three dozen 2

Mathematics

1 answer:

kirza4 [7]3 years ago

4 0

Answer : 50

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A turtle begins to cross a path. After 3 minutes, the turtle is 2.5 feet from the other edge of the path. After 5 minutes, the t

iragen [17]

The turtle would be moving 0.5 feet every minute. The width of the path is 4 feet.

5 0

4 years ago

Read 2 more answers

3(a + 6) 2. 5(n – 4) 3. 4(c + d)

Gekata [30.6K]

Answer:

51 (a + 6) (n - 4) (c + d)

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Step-by-step explanation:

That's a fraction bar btw, hope this helps.

3 0

3 years ago

Simplify the following expression. *<br> 3(x-4)

damaskus [11]

Answer:

3x-12

Step-by-step explanation:

3(x-4)

Distribute

3x -3*4

3x-12

6 0

4 years ago

Allegra has a cell-phone plan that charges $65 per month and $0.10 for every minute that she uses the phone beyond what her plan

Helga [31]

X0.10. xtimesy (y being every minute) = 8.40 (Money that she spent extra) Well 8.40 divided by 0.10 is 84. so she went 84 mins over

3 0

3 years ago

Read 2 more answers

Find all the solutions of the given equations in the interval [0,2pi) tan^3x=tanx and cos 3x=-cos3x

slamgirl [31]

$\tan^3x=\tan x$
$\tan^3x-\tan x=0$
$\tan x(\tan^2x-1)=0$
$\tan x(\tan x-1)(\tan x+1)=0$
$\begin{cases}\tan x=0\\\tan x-1=0\\\tan x+1=0\end{cases}$

$\tan x=\dfrac{\sin x}{\cos x}=0\implies \sin x=0\implies x=0,\pi$

$\tan x-1=0\iff\tan x=1\implies x=\dfrac\pi4,\dfrac{5\pi}4$

$\tan x+1=0\iff\tan x=-1\implies x=\dfrac{3\pi}4,\dfrac{7\pi}4$

- - -

$\cos3x=-\cos3x$
$2\cos3x=0$
$\cos3x=0\implies 3x=\dfrac\pi2,3x=\dfrac{3\pi}2\implies x=\dfrac\pi6,x=\dfrac\pi2$

This doesn't account for all the solutions, however; there are some values of $x$ that push $3x$ outside the interval $[0,2\pi)$ , so let's take a few more:

$3x=\dfrac{5\pi}2\implies x=\dfrac{5\pi}6$
$3x=\dfrac{7\pi}2\implies x=\dfrac{7\pi}6$
$3x=\dfrac{9\pi}2\implies x=\dfrac{9\pi}6$
$3x=\dfrac{11\pi}2\implies x=\dfrac{11\pi}6$

We can stop there, since the next candidate gives

$3x=\dfrac{13\pi}2\implies x=\dfrac{13\pi}6>2\pi$

7 0

3 years ago