answer: x = 19
assume that the line under the triangle is a straight line, and the angle of any straight line = 180°,
collect like-terms
subtract
divide
![x=\frac{171}{9}\\](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B171%7D%7B9%7D%5C%5C)
![x=19](https://tex.z-dn.net/?f=x%3D19)
to make sure of the answer, plug
in the equation:
![(5(19)+1 )+(8+4(19)=180\\95+1+8+76=180\\180=180](https://tex.z-dn.net/?f=%285%2819%29%2B1%20%29%2B%288%2B4%2819%29%3D180%5C%5C95%2B1%2B8%2B76%3D180%5C%5C180%3D180)
Answer:
Cos x sec^2 x
Cos x (1 + cot x)
Cos x / sin x • 1
Step-by-step explanation:
Answer:
P(X>5) = 0.857
Step-by-step explanation:
Let X
uniform(3.17)
![f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7B1%7D%7B17-3%7D%20%20%20%3B%20%5C%20%5C%20%5C%203%20%5Cle%20x%20%5Cle%2017)
The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:
![P(X > 5) = \int ^{17}_{5} f(x) \ dx](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%20%20%5Cint%20%5E%7B17%7D_%7B5%7D%20f%28x%29%20%5C%20dx)
![P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%20%20%5Cint%20%5E%7B17%7D_%7B5%7D%20%5Cdfrac%7B1%7D%7B17-3%7D%20%5C%20dx)
![P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%20%5CBig%20%5Bx%20%5CBig%20%5D%20%5E%7B17%7D_%7B5%7D)
![P(X > 5) =\dfrac{1}{14} [17-5]](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B1%7D%7B14%7D%20%5B17-5%5D)
![P(X > 5) =\dfrac{12}{14}](https://tex.z-dn.net/?f=P%28X%20%3E%205%29%20%3D%5Cdfrac%7B12%7D%7B14%7D)
P(X>5) = 0.857
The arc subtends an angle of 300° .
Step-by-step explanation:
Radius = 75 cm
Arc length = 125π cm
Arc length = (θ/360) (2πr)
125π = (θ/360) (2π x 75)
125π = (θ/360) (150π)
125π/150π = (θ/360)
5/6 = (θ/360)
(5/6) (360) = θ
θ = 300°
The arc subtends an angle of 300° .
Answer:
D because if you say angle 2 + angle 1 = 180 = angle 2 + angle 3, then, subtracting angle 2 from all sides (180 irrelevent), you can say angle 1 = angle 3.
:D