Answer:
Answer to the question:
Step-by-step explanation:
α= 54º
V= 66 ft/s
g= 9.8 m/s²
Vx= V * cos(54º) = 38.8 ft/s
Vy= V * sin(54º) = 53.4 ft/s
<u>PARAMETRIC EQUATIONS:</u>
x(t)= Vx * t
y(t)= Vy * t - (g * t²)/2
Answer:
Step-by-step explanation:
number of cards = 52
number of queen = 4
number of spades = 13
A) probability that the tenth card is a queen
drawn time (r) = 1
position of success(x) = 10th
p = 4/52
P( x,r,p) = 
p(10,1,4/52) = 9C0(4/52)^1 * (48/52)^9 = 0.0374
B) probability the twentieth card is a spade
x = 20
r = 1
p = 13 / 52
P(20,1,26/52) = 19C0(26/52)^1 * (26/52)^19 = 0.0010
c) The last five cards been spades
p(last five cards been spades )
p(48..52, 5, 13/52 ) = 47...52C4(13/52)^5 * (39/52)^48..52 - 5
Answer:19/2
Step-by-step explanation:
19/2=9.5
Other are not in its very simplest form
Answer:
2nd one
Step-by-step explanation:
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.