If I'm not mistaken, the correct answer would be the probability is 3/6 or 1/2. Hope this helps :D
Answer:
I'm pretty sure it's +(-6).
Step-by-step explanation:
Basically for these, you find the slope. The slope equation is y1-y2/x1-x2.
Pick two points.
I'll just do (1,15) and (2,9).
15-9/1-2 = 6/-1 = -6.
I don't know if you were taught it this way, but my math teacher always told us that the rate of change had to be positive.
So you'd say the rate of change is +(-6), not -6.
Hope that sorta helped lol
Answer:
$3.50
Step-by-step explanation:
Answer:
<em>Camera 2nd has to cover the maximum angle, i.e. </em>
.
Step-by-step explanation:
Please have a look at the triangular park represented as a triangle
with sides
a = 110 ft
b = 158 ft
c = 137 ft
1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.
We can use law of cosines here, to find out the angles ![\angle A, \angle B, \angle C](https://tex.z-dn.net/?f=%5Cangle%20A%2C%20%5Cangle%20B%2C%20%5Cangle%20C)
As per Law of cosine:
![cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}](https://tex.z-dn.net/?f=cos%20C%20%3D%20%5Cdfrac%7Ba%5E%7B2%7D%2Bb%5E2-c%5E2%20%7D%7B2ab%7D%5C%5Ccos%20B%20%3D%20%5Cdfrac%7Ba%5E%7B2%7D%2Bc%5E2-b%5E2%20%7D%7B2ac%7D%5C%5Ccos%20A%20%3D%20%5Cdfrac%7Bb%5E%7B2%7D%2Bc%5E2-a%5E2%20%7D%7B2bc%7D)
Putting the values of a,b and c to find out angles
.
![cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ](https://tex.z-dn.net/?f=cos%20C%20%3D%20%5Cdfrac%7B110%5E%7B2%7D%2B158%5E2-137%5E2%20%7D%7B2%5Ctimes%20110%20%5Ctimes%20158%7D%5C%5C%5CRightarrow%20cos%20C%20%3D%20%5Cdfrac%7B12100%2B24964-18769%20%7D%7B24760%7D%5C%5C%5CRightarrow%20cos%20C%20%3D0.526%5C%5C%5CRightarrow%20C%20%3D%2058.24%5E%5Ccirc)
![cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ](https://tex.z-dn.net/?f=cos%20B%20%3D%20%5Cdfrac%7B110%5E%7B2%7D%2B137%5E2-158%5E2%20%7D%7B2%5Ctimes%20110%20%5Ctimes%20137%7D%5C%5C%5CRightarrow%20cos%20B%20%3D%20%5Cdfrac%7B12100%2B18769%20-24964%7D%7B30140%7D%5C%5C%5CRightarrow%20cos%20B%20%3D%20%5Cdfrac%7B5905%7D%7B30140%7D%5C%5C%5CRightarrow%20cos%20B%20%3D0.196%5C%5C%5CRightarrow%20B%20%3D%2078.70%5E%5Ccirc)
![cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ](https://tex.z-dn.net/?f=cos%20A%20%3D%20%5Cdfrac%7B158%5E%7B2%7D%2B137%5E2-110%5E2%20%7D%7B2%5Ctimes%20158%20%5Ctimes%20137%7D%5C%5C%5CRightarrow%20cos%20A%20%3D%20%5Cdfrac%7B24964%2B18769-12100%7D%7B43292%7D%5C%5C%5CRightarrow%20cos%20A%20%3D%20%5Cdfrac%7B31633%7D%7B43292%7D%5C%5C%5CRightarrow%20cos%20A%20%3D%200.731%5C%5C%5CRightarrow%20A%20%3D%2043.05%5E%5Ccirc)
<em>Camera 2nd has to cover the maximum angle</em>, i.e.
.
Answer:
move the decimal point in 4.082 4 places to the left
Step-by-step explanation:
i hope this helps :)