1/8
Each time the probability for landing on heads in 1/2 or 50% so do 1/2*1/2*1/2=1/8.
Answer:
25π units^2
Step-by-step explanation:
The shape is a quarter circle with radius 10 units.
area of circle = πr^2
area of a quarter circle = (1/4)π(10 units)^2
area = 25π units^2
Answer:
y=5sin(16pix)+3
Step-by-step explanation:
Amp=5 means our curve is either y=5sin(bx+c)+d or y=-5sin(bx+c)+d.
y=sin(x) has period 2pi.
So y=sin(bx) has period 2pi/b.
We want 2pi/b=1/8.
Cross multiplying gives: 16pi=b
y=5sin(16pix+c)+d
d=3 since we want midline y=3.
y=5sin(16pix+c)+3
We can choose c=0 since we aren't required to have a certain phase shift.
y=5sin(16pix)+3
Answer:
Y = 28.31
Z = 13.29
Angle A = 28
Step-by-step explanation:
For Angle A:
Remember a triangle has a total of 180 degree angles. So set up your formula as
180 - 62 -90 = Angle A
For Y:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin (B) = opp/hyp or b/c or (y)
sinB = 62
b = 25
Rewrite as c=b/2SinB -> c=25/sin62 -> Y = 28.31
For Z:
Use the Pythagorean theorem to find the unknown side.

z = 13.29