Answer:7.06in with a 2 squared or exponent
Step-by-step explanation:
Answer: 2041 meters
A bicycle wheel is a circular object.
The circumference of a circle is 2π(radius)
Here given:
- radius = diameter/2 = 65/2 = 32.5 cm
Hence find the length for each revolution:
- 2π(32.5) = 204.1 cm per revolution
Then for 1000 revolutions:
- 204.1 × 1000 = 204100 cm ≈ 2041 meter
let's recall that on the II Quadrant x/cosine is negative whilst y/sine is positive,
also let's recall that the hypotenuse is simply the radius distance and thus is never negative.
![\bf cot(\theta )=\cfrac{\stackrel{adjacent}{-2}}{\stackrel{opposite}{1}}\impliedby \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-2)^2+1^2}\implies c=\sqrt{5} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{5}}}{\stackrel{opposite}{1}}\implies csc(\theta )=\sqrt{5}](https://tex.z-dn.net/?f=%5Cbf%20cot%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Badjacent%7D%7B-2%7D%7D%7B%5Cstackrel%7Bopposite%7D%7B1%7D%7D%5Cimpliedby%20%5Ctextit%7Blet%27s%20find%20the%20hypotenuse%7D%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Busing%20the%20pythagorean%20theorem%7D%20%5C%5C%5C%5C%20c%5E2%3Da%5E2%2Bb%5E2%5Cimplies%20c%3D%5Csqrt%7Ba%5E2%2Bb%5E2%7D%20%5Cqquad%20%5Cbegin%7Bcases%7D%20c%3Dhypotenuse%5C%5C%20a%3Dadjacent%5C%5C%20b%3Dopposite%5C%5C%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20c%3D%5Csqrt%7B%28-2%29%5E2%2B1%5E2%7D%5Cimplies%20c%3D%5Csqrt%7B5%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20csc%28%5Ctheta%20%29%3D%5Ccfrac%7B%5Cstackrel%7Bhypotenuse%7D%7B%5Csqrt%7B5%7D%7D%7D%7B%5Cstackrel%7Bopposite%7D%7B1%7D%7D%5Cimplies%20csc%28%5Ctheta%20%29%3D%5Csqrt%7B5%7D)
Answer:
21
Step-by-step explanation:
It is given that y varies inversely with x.
...(i)
where, k is constant of proportionality.
It is given that x=-3 when y=-105. Substitute these values in equation (i), to find the value of k.
Now,
Substitute x=15 in the above equation.
Therefore, the value of y is 21 when x=15.
Answer:
1 West and 1 South.
___________________________
The origin is (0,0).
Cory is currently at (1,1)
To move from (1,1) to (0,0):-
We need to Subtract 1 from both X and Y coordinates,
To do that, We need to move in the Negative direction in both X and Y.
On the X axis.. Moving West 1 step, (1 - 1 = 0).
On the Y axis.. Moving South 1 step, (1 - 1 = 0).
hope this helped.
