32 meters tall.
It would form a right triangle, in which the shorter leg is 7m and the longer leg is 24m. You're looking for the last side, the hypotenuse. So use the Pythagorean theorem. a^2 + b^2 = c^2 , in which a and b are the legs and c is the hypotenuse.
Therefore, you get 7^2 + 24^2 = c^2.
Which is, 49 + 576 = c^2
Add, 625 = c^2.
Take the square root of 625, which is 25. So, the length of the hypotenuse (last side) is 25m. Add the 7m that is sticking out of the ground, to get 32m.
Answer:
Step-by-step explanation:
The axis of symmetry lies exactly halfway between the given x = 1 and x = -5.
The axis of symmetry is x = -2.
The 'halfway' value is also the 'average' of 1 and -5: -4/2, or -2.
The axis of symmetry is x = -2.
Answer:
0
Step-by-step explanation:
I learned in sixth grade itself eaSy
Answer:
π (3.14) seconds
Step-by-step explanation:
T = 2π√(L/32)
T = 2π√(8/32)
T = 2π√(1/4)
T = 2π(1/2)
T = π
It will take π seconds for the pendulum to complete a full cycle if the pendulum is 8 feet long
a. The events are mutually exclusive, so
b. For the same reason,
Another way to see this is to use the result from part (a), and the inclusion/exclusion principle:
and the right side reduces to 0.
c. Same as (b),
d. Same as (b),
We can also use the distributivity rule for unions and intersections to write
e. If the 
is the complement of 
, then by DeMorgan's law,
