Answer:
Step-by-step explanation:
let the distance from central pole to one end=r
8/r=tan 40°
r=8/tan40=8 cot~40°=8 cot(90-50)=8 tan ~50≈9.534
2r≈19.068≈ 19.1
width of tent=19.1 ft
The length of the sky lift is 3.387.05 ft
Step-by-step explanation;
By an online search, i found that the sky lift
rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such
that:
One cathetus is 1200ft, this is the opposite
cathetus to the angle of 20.75°
The length of the ski lift would be the
hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus=1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse =1200ft/sin(20.759) =3.387.05 ft
The length of the sky lift is 3.387.05 ft
2. 3.14 times the radius squared
Answer: 2.2532
Step-by-step explanation:
From the table attached :
Expected probability = sum of p(x) * x ; wher P-X) is the probability of x
E(p(x), x) = (0*0) + (1 * 0.06) *(2*0.1) + (3 * 0.16) * (4 *0.16)+ (5*0.26) * (6 *0.08) + (7 * 0.13) + (8 * 0.05)
Pp(x) * x) = 2.2532
Therefore, the expected value of the distribution is 2.2532
Slopt in form ax+by=c is -a/b
-3/3=-1
slope is -1
intercept in form ax+by=c is c/b
63/3=9
slope is -1
intercept is at y=9
