Sin and cos are related by the following identity:
sin (90 - θ) = cos(θ)
The value of θ in the given case is 48, so the equation becomes:
sin(90 - 48) = cos(48)
sin (42) = cos(48)
Thus, in the given question value of <span>ø will be 42 degrees.</span>
Answer:
<h2>D. 6</h2>
Step-by-step explanation:
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We have the points
and ![\left(-\dfrac{1}{2},\ 2\right)](https://tex.z-dn.net/?f=%5Cleft%28-%5Cdfrac%7B1%7D%7B2%7D%2C%5C%202%5Cright%29)
Substitute:
![d=\sqrt{\left(-\dfrac{1}{2}-\left(-\dfrac{1}{2}\right)\right)^2+(2-8)^2}=\sqrt{\left(-\dfrac{1}{2}+\dfrac{1}{2}\right)^2+(-6)^2}\\\\=\sqrt{0^2+36}=\sqrt{36}=6](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%5Cleft%28-%5Cdfrac%7B1%7D%7B2%7D-%5Cleft%28-%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5Cright%29%5E2%2B%282-8%29%5E2%7D%3D%5Csqrt%7B%5Cleft%28-%5Cdfrac%7B1%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5E2%2B%28-6%29%5E2%7D%5C%5C%5C%5C%3D%5Csqrt%7B0%5E2%2B36%7D%3D%5Csqrt%7B36%7D%3D6)
Answer:
It's SSS, gib me brainliest if u can. :)
Step-by-step explanation:
Missing question: Determine the distanced covered by Mary.
Solution:
Mary: 3 mph
Jerry: 4 mph
Jerry starts jogging after Mary had been walking for 15 minutes.
Distance Mary had walked before Jerry starts jogging = Speed * Time = 3*15/60 = 0.75 miles.
Time taken by Jerry to jog for 2 miles = Distance/Speed = 2/4 =1/2 = 0.5 hrs.
Since they stopped at the same time,
Distance Mary walked while Jerry jogged = Speed* Time = 3*0.5 = 1.5 miles
Therefore,
Total distance Mary walked = 0.75+1.5 = 2.25 miles.
Answer:
316.0
Step-by-step explanation:
In the US, the given number is in standard form.
__
In the UK, "standard form" is what we refer to as "scientific notation" in the US. The number in standard form there is ...
3.160×10²