Answer:
99 (cm^2)
Step-by-step explanation:
Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.
The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).
One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.
Then, add the area of the three parts.
72+9*sqrt(19)/2+9*(6-sqrt(19))/2=99 (cm^2)
Hey there!
All of the given angles of a triangle will always add up to 180 degrees. Therefore, our angle measures are 100, 40, and 40. There are 3 types of triangle classifications based on angles.
Acute: all three angles are less than 90 degrees.
Right: one angle is 90 degrees.
Obtuse: has an angle that is greater than 90 degrees.
As you can see, we have one angle that is greater than 90, which is 100.
Therefore, this is an obtuse triangle.
I hope this helps!
Answer:
0.865
Step-by-step explanation:
To solve for the probability we would be using the formula:
F(x) = 1 - e^−λx
Therefore, P(x > 2000) = F(x) = 1 - e^−λx
Mean = 1000 hours
λ = 1/mean = 1/1000 hours
x= 2000 hours
F(x) = 1 - e^−(1/1000)2000
F(x) = 1 - e^−2
= 0.8646647168
Therefore, the probability the the circuit will last at least 2000 hours = 0.865
Answer:
0.2377 or about a 23.77% chance
Step-by-step explanation:
P(123<X<130) = normalcdf(123,130,130,11) = 0.2377303466 ≈ 0.2377
Therefore, the probability that the next game Victoria bowls, her score will be between 123 and 130 is 0.2377 or about a 23.77% chance
to determine if it is even replace x with -x and see if the answer is identical.
In this case, this function is even