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sasho [114]
3 years ago
12

Which expression is equivalent to (cos x)(tan(–x))?

Mathematics
2 answers:
Naya [18.7K]3 years ago
7 0
The tan(-x) is the same thing as -tan(x).  The tangent function is also the same thing as sin(x)/cos(x), right? So let's rewrite that tan in terms of sin and cos:
[cos(x)][tan(-x)] is the same as [cos(x)][ -\frac{sin(x)}{cos(x)}]
We can now cancel out the cos(x), which leaves us only with -sin(x) remaining. So your answer is A.
GalinKa [24]3 years ago
7 0
The answer to this is A 

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Dina has a number cube that she uses for a game. The number cube has the shape of a triangular pyramid, with 4 faces numbered 1
yaroslaw [1]

Answer:

A) The relative frequencies in the table are reasonably close; C) The relative frequency of rolling an even number is 0.51.

Step-by-step explanation:

The relative frequencies given are at most 0.02 apart.  This means they are reasonably close.

The theoretical probability for each outcome would be 1/4, or 0.25; this means the theoretical probability of rolling an even number would be 0.50, not 0.51.

However, the relative frequency of rolling an even number would be 0.24+0.27 = 0.51.

Since the relative frequencies are reasonably close, the number cube is likely to be fair.

6 0
3 years ago
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The length of the segment indicated round your answer to the nearest 10th if nessesary
exis [7]
Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 = <span> <span> <span> 185.65 </span> </span> </span>
x = <span> <span> <span> 13.6253440324 </span> </span> </span>
Answer is C

3 0
4 years ago
Which angle has a sine of -1/2 and a cosine of -√3/2
Sergeeva-Olga [200]
\sin x=-\dfrac{1}{2} < 0\\\\\cos x=-\dfrac{\sqrt3}{2} < 0\\\\therefore\ x\in(180^o;\ 270^o)

\text{We know:}\ \tan x=\dfrac{\sin x}{\cos x}\\\\\text{therefore:}\ \tan x=\dfrac{-\frac{1}{2}}{-\frac{\sqrt3}{2}}=\dfrac{1}{2}\cdot\dfrac{2}{\sqrt3}=\dfrac{1}{\sqrt3}\cdot\dfrac{\sqrt3}{\sqrt3}=\dfrac{\sqrt3}{3}

\tan x=\dfrac{\sqrt3}{3}\Rightarrow x=30^o+180^o\cdot k;\ k\in\mathbb{Z}

x\in(180^o;\ 270^o)\ therefore\ \boxed{x=30^o+180^o=210^o}
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3 years ago
I Reaally Need Help If You Wamt Ill Eve Go Over 100 Points
Pani-rosa [81]
(a) y = 2x + 3
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0 = -2x
x = 0

hope this helps
5 0
3 years ago
Read 2 more answers
0.09+27/100=?/100+27/100​
Naily [24]

Answer:

x = 9

Step-by-step explanation:

0.09+27/100=x/100+27/100

0.09=x/100

9=x

4 0
3 years ago
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