Please please use explanation with answer

Mathematics

1 answer:

KIM [24]3 years ago

5 0

Answer:

$\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}$

Step-by-step explanation:

$\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}$

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A new roll of wrapping paper has 6 5/8 yards of paper. Drew used 2 1/6 yards from the roll to wrap a gift. Which equation most c

Sedbober [7]

First you have to make both fractions have the same denominator, so you can multiply each fraction by the others denominator.

5/8
To
(5*6)/(8*6)

And

1/6
To
(1*8)/(6*8)

Now it's 6 30/48 - 2 8/48

= 4 22/48

Now reduce to

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3 0

3 years ago

What is the length of ST?

defon

Answer:

5 cm

Step-by-step explanation:

Let's assume this is a number line were given.

Distance of S from 0 = 4 units

Distance of T from 0 = 9 units

Length of ST = the difference between T and S

ST = |9 - 4| = 5 units = 5 cm