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3 years ago

If the absolute value of a number is added to the original number will the sum always equal 0

1 answer:

8 0

Not necessarily. the absolute value of a number is that number's distance from 0 on a number line. if your taking the absolute value of a negative value, what you stated would be true. however, what if you took the absolute value of a positive number? hope that answers your question.

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Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

3 years ago

HELP ASAP TIMED!!!!!!!!!!!!!!!

jenyasd209 [6]

Step-by-step explanation:

1 ans 35/37

2 ans 0.95

3 ans 12/37

4 ans 0.32

3 0

2 years ago

Giselle's youth club sells cookies to fund their trips and activities. Each year they need to earn $1,247 from selling cookies.

algol [13]

Price per box, P = $1.45 .

Money left, M = $1247 - $472.70 = $774.3 .

Let, number of boxes are x.

So,

$x = \dfrac{774.3}{1.45}\\\\x = 534\ boxes$

Therefore, they have to sell 534 more boxes.

Hence, this is the required solution.

6 0

3 years ago

Riley is playing a game that requires rolling a number cube numbered 1-6 and spinning a spinner with three consonants and one vo

Ghella [55]

Answer:

1/8 :)

Step-by-step explanation:

1/8 is correct because 12.5*8=100

5 0

3 years ago

I need help. Say two squirrels are mating in a tree and that tree is 56 feet tall. How many babies would they have if the sun wa

Natasha_Volkova [10]

OK. Math is a SERIOUS subject...... ...........This is a SERIOUS website were students come to LEARN and SHARE ideas and HELP each other with SERIOUS scholarly work.......... Do not slander this website with ur "Joke" questions. Becuse it leads NOWHERE....... ..... DO NOT BRING UR SLANDEROUS STUPID NONSENSE QUESTIONS INTO THIS WEBSITE......I WILL report you to the mods. OK? AGH people like U is why i hate this gernation................... -_-

4 0

3 years ago