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BaLLatris [955]
4 years ago
6

The graph shows a line and two similar triangles

Mathematics
1 answer:
ss7ja [257]4 years ago
6 0
Your rise is 5 and your run is 3, your y-intercept is 0, therefore y=(5/3)x
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Find the exact value for the expression under the given conditions.
Romashka [77]

Answer:

By  Pythagoras,

\displaystyle{r}=\sqrt{{{x}^{2}+{y}^{2}}}r=x2+y2 \displaystyle=\sqrt{{{\left(-{2}\right)}^{2}+{3}^{2}}}=(−2)2+32 \displaystyle=\sqrt{{{4}+{9}}}=\sqrt{{13}}=4+9=13

For this example, we define the trigonometric ratios for θ in the following way:

\displaystyle \sin{\theta}=\frac{y}{{r}}=\frac{3}{\sqrt{{13}}}={0.83205}sinθ=ry=133=0.83205

\displaystyle \cos{\theta}=\frac{x}{{r}}=\frac{{-{2}}}{\sqrt{{13}}}=-{0.55470}cosθ=rx=13−2=−0.55470

\displaystyle \tan{\theta}=\frac{y}{{x}}=\frac{3}{ -{{2}}}=-{1.5}tanθ=xy=−23=−1.5

 

\displaystyle \csc{\theta}=\frac{r}{{y}}=\frac{\sqrt{{13}}}{{3}}={1.2019}cscθ=yr=313=1.2019

\displaystyle \sec{\theta}=\frac{r}{{x}}=\frac{\sqrt{{13}}}{ -{{2}}}=-{1.80278}secθ=xr=−213=−1.80278

\displaystyle \cot{\theta}=\frac{x}{{y}}=\frac{{-{2}}}{{3}}=-{0.6667}cotθ=yx=3−2=−0.6667

3 0
3 years ago
Read 2 more answers
-2 x 4^5 + 18 x 4^5 = ?<br><br> The answer must be in form of a^b. Please explain step by step.
zalisa [80]

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

x^{m} * x^{n}= x^{n+m}

(x^{m})^{n}= x^{m*n}

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5}  \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)

5 0
3 years ago
GIVING BRAINLIEST PLEASE HELPPPPPPPPPPPPP
Anna [14]

Answer:

C

Step-by-step explanation:

The number of tips that the server gets is <em>dependent</em> on how many customers she serves.

Hope this helps!

5 0
3 years ago
Read 2 more answers
Calculate the mean of the number set 5 10 12 4 6 11 13 5
son4ous [18]
For calculating the mean, you want to add up all of the numbers then divide by how many numbers there are. So you'd do:

5+10+12+4+6+11+13+5 then divide that by 8

The answer to your question is: 8.25
3 0
3 years ago
Simplify the following
Amiraneli [1.4K]

Answer: 10609

Step-by-step explanation: Raise 103 to the power of 2

8 0
2 years ago
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