It would be 1............
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
Answer:
The air speed of the plane is 90 km/hr. and the wind has a speed of 15 km/hr.
Step-by-step explanation:
The plane travels 720 km in 6 hours in the direction of the wind and it takes 8 hours to make the round trip.
If we assume that the speed of the plane is u km/hr. and that of wind is v km/hr.
Therefore, we can write ........ (1)
And ..... (2)
If we add those two equations, then 2u = 210, ⇒ u = 105 km/hr.
Again from equation (2), we get v = u - 90 = 105 - 90 = 15 km/hr.
Therefore, the airspeed of the plane is 90 km/hr. and the wind has a speed of 15 km/hr. (Answer)
28% is the same as the decimal 0.28, which will be 28/100 as a fraction.
To simplify 28/100 you will have to find what number goes into both this will be 4.
So 28 ÷ 4 = 7
100 ÷ 4 = 25
So Elan will spend 28/100 or if you have simplified 7/25 of his workout on the treadmill.
Answer:
Step-by-step explanation:
(-8+2)/(8-8)= -6/0= undefined