Answer:
<h2><em>
85.9° </em></h2>
Step-by-step explanation:
Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;
Length of an arc = θ/360 * 2Πr where r is the radius of the circle.
Given r = 10m and length of the arc = 15m
On substituting;
15 = θ/360 * 2π(10)
15 = θ/360 * 20π
θ/360 = 15/20π
θ/360 = 0.2387
θ = 360* 0.2387
θ = 85.9°
<em>Hence Maple street is at 85.9° to Elm street.</em>
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The probability of rolling a 1 or a 5 is 16/40 reduced to 2/5. 16/40÷8 16÷8=2 40<span>÷8=5 so your probability is 2/5 or 40%
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Angle 7 is equal to 3. the line cutting through has a degree of 180. minus 140 from 180 to get the desired angle which is 40 degrees
F(x) = x - 2sinx
To find for what values of x graph has tangents we need to differentiate function f(x).
f'(x) = 1-2cosx
Now, if we want to have horizontal tangents we need to make function f'(x) equal to 0 because at minimum or maximum of function f(x) tangent is horizontal.
1-2cosx = 0
cosx = 1/2
x = pi/3 + 2*n*pi and
x = -pi/3 + 2*n*pi
Explanation: cosx = 1/2 for both 60° and -60°. If we make one circle cosx will be equal to 1/2 for 420 and 300 degrees. Writing degrees in radians (using pi) we can write formulas above where 2*pi represents one full circle and n is an integer which represents how many circles we made.
3^2 + 4^2 = 5^2
65/5=13
3x13 =39
4 x 13= 42
