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raketka [301]
3 years ago
12

Help in showing the steps to simplify? 15 points

Mathematics
2 answers:
kari74 [83]3 years ago
7 0
<span>.58 is the answer, first u do the 3 part then mulitply that times 8 then divide by 8 :)</span>
Advocard [28]3 years ago
7 0
Well, the idea is to "rationalize the denominator", which is another way to say "getting rid of that pesky radical in the bottom".

so, we'll do so by multiplying for "something" that raises the radicand and then it comes out

\bf \cfrac{8}{8\sqrt{3}}\implies \cfrac{1}{\sqrt{3}}\implies \stackrel{rationalizing~it}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}}\implies \cfrac{1\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}

bear in mind that   \bf \cfrac{something}{something}=1\qquad \qquad \cfrac{same}{same}=1\qquad \qquad \cfrac{\sqrt{3}}{\sqrt{3}}=1

so, all we really did was, multiply it by "1", and recall that anything times 1 is just itself, so the fraction never really changed in value, just looks different, is all.
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The statement tan theta -12/5, csc theta -13/5, and the terminal point determined by theta is in quadrant 2."​
Harlamova29_29 [7]

Answer:

Answer C:

Cannot be true because csc(\theta)  is greater than zero in quadrant 2.

Step-by-step explanation:

When the csc of an angle is negative, since the cosecant function is defined as:

csc(\theta)=\frac{1}{sin(\theta)}

that means that the sin of the angle must be negative, and such cannot happen in the second quadrant. The sine function is positive in the first and second quadrant.

Therefore, the correct answer is:

Cannot be true because  csc(\theta)  is greater than zero in quadrant 2.

6 0
3 years ago
Suppose you want to know how fast you traveled from the park to the library. As you moved, your speed varied from second to seco
frutty [35]

Step-by-step explanation:

In order to describe speed of an object, we must describe the average speed of the entire trip. It is equal to the distance moved divided by time taken.

If a person covers a distance of 1 km to the library in 15 minutes, we can find its average speed.

Firstly, we convert 15 minutes to hour, 15 min = 0.25 hours

Now, using formula of speed = distance/time

v=\dfrac{1\ km}{0.25\ h}\\\\v=4\ km/h

It means that the average speed of the person is 4 km/h. Hence, the given statement is true.

6 0
3 years ago
Dividing integers
Natasha2012 [34]

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =11</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-4</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-6</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-12</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=8</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=818. (-105) ➗ 7=-15</em>

<em>first we shall learn the rules.when numbers with same sign are divided it gives pisitive sign but, when numbers of different signs are divided it gives negetive sign.here,7. (-154) ➗ (-14) =1111. (-40) ➗10=-415. 90 ➗ (-15)=-616. 108 ➗ (-9)=-1217. (-48) ➗ (-6)=818. (-105) ➗ 7=-15hope it helps you......</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>

8 0
3 years ago
Which expression is equal to<br> (2+2)(1-4)/(3–4)(+4)
Serggg [28]

Answer:

48

Step-by-step explanation:

2 + 2 is 4, 1 - 4 is -3, 3 - 4 is -1 and +4 is 4 if you multiply these together, you will get 48.

5 0
3 years ago
Read 2 more answers
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Murrr4er [49]
P(x) = x^2 - 1
q(x) = 5(x - 1)
(p - q)(x) = p(x) - q(x) = (x^2 - 1) - 5(x - 1)
8 0
3 years ago
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