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svlad2 [7]
3 years ago
8

Evaluate csc(-315°).

Mathematics
1 answer:
Maru [420]3 years ago
8 0

Answer:

\frac{2}{\sqrt{2} } = \sqrt{2}

Step-by-step explanation:

Notice from the attached image that -315 degrees is the same as 45 degrees.

Recall as well that the csc function is defined as the reciprocal of the sine function: csc(x)=\frac{1}{sin(x)}

Then, you need to evaluate \frac{1}{sin(45)} = 1/\frac{\sqrt{2} }{2} = \frac{2}{\sqrt{2} } =\sqrt{2}

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murzikaleks [220]

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

8 0
3 years ago
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rosijanka [135]

Answer:

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3 years ago
What is the sum of two numbers a and b decreased by their product?
natka813 [3]

Answer:

(a+b) - (ab)

Step-by-step explanation:

sum of two numbers a and b decreased by their product

(a+b) - (ab)

8 0
3 years ago
Read 2 more answers
Kristen reads 11 pages per hour. In all, how many hours of reading will Kristen have to do
soldier1979 [14.2K]

Answer:

4

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)

6 0
3 years ago
Explain why each non-zero integer has two square roots but only one cube root.
lilavasa [31]

if we have a number like say hmm 4, and we say hmmm √4 is ±2, it simply means, that if we multiply that number twice by itself, we get what's inside the root, we get the 4, so (+2)(+2) = 4, and (-2)(-2) = 4, recall that <u>minus times minus = plus</u>.

so, any when we're referring to even roots like \bf \sqrt[2]{~~},\sqrt[4]{~~},\sqrt[6]{~~}...., the positive number, that can multiply itself an even amount of times, will produce a valid value, BUT the negative number that multiply itself an even amount of times, will also produce a valid value.

now, that's is not true for odd roots like \bf \sqrt[3]{~~},\sqrt[5]{~~},\sqrt[7]{~~}...., because the multiplication of the negative number will not produce a valid value, let's put two examples on that.


\bf \sqrt[3]{27}\implies \sqrt[3]{3^3}\implies 3\qquad because\qquad (3)(3)(3)=27&#10;\\\\\\&#10;however\qquad (-3)(-3)(-3)\ne 27~\hspace{8em}(-3)(-3)(-3)=-27&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}\\\\&#10;\sqrt[3]{-125}\implies \sqrt[3]{-5^3}\implies -5\qquad because\qquad (-5)(-5)(-5)=-125&#10;\\\\\\&#10;however\qquad (5)(5)(5)\ne -125~\hspace{10em}(5)(5)(5)=125


so, when the root is an odd root, you will always get only one number that will produce the radicand.

6 0
3 years ago
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