Answer:
1/81
Step-by-step explanation:
P(H,H,H,H)=16/81
fourth root of 16/81= 2/3
so the probability of getting tails would be 1/3
probability of getting 4 tails would be:
P(T,T,T,T)=(1/3)^4
=1/81
Answer:
h(t) = -16t^2 + 40t + 120
h(t) = -16(t^2 - 5/2*t) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - (5/4)^2) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2 - 25/16) + 120
h(t) = -16(t^2 - 5/2*t + (5/4)^2) + 120 + 25
h(t) = -16(t - 5/4)^2 + 145
The rock needs 5/4 = 1.25 seconds to travel to the highest point wich is 145 m high.
You know
Squaring both sides gives
Then raising both sides to any integer power 
gives
That is, any power of 
where the power is a multiple of 4 will always be equal to 1.
So
But perhaps you mean to write 20+1 as the exponent, in which case
Answer:
z = 72
Step-by-step explanation:
-1/4z + 12 = -6
× 4
-z + 48 = - 24
-z = - 72
z = 72
Answer: X = 27
Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).
Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.
However angle D in the second triangle is equal in measurement to angle B in the first triangle
(Alternate angles).
Hence we have a third angle in triangle ABC which is
Angle B = 2x + 10.
Therefore 3x - 10 + (2x + 10) + 45 = 180
(Sum of angles in a triangle)
3x - 10 + 2x + 10 + 45 = 180
By collecting like terms we now have
3x + 2x = 180 + 10 - 10 - 45
5x = 135
Divide both sides by 5,
x = 27
