Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
__
<h3>setup</h3>
Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>
Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
Answer:
Step-by-step explanation:
The depth function is:
After 3 minutes, a submarine had descended to −320 feet.
This means that 
. So
After 8 minutes, the submarine had descended to −420 feet.
This means that 
. So
From the first equation:
So
And
So
1) probability of getting an even number or one: 2/3
2)probability of getting six or a number less than 3: 1/2
3)probability of getting even number or a number greater than five: 1/2
4)probability of getting an odd number or number divisible by 3: 2/3
Step-by-step explanation:
Sample space = {1,2,3,4,5,6}
Total number of possible outcome = 6
1) probability of getting an even number or one:
Sample space = {1,2,4,6}
P= 4/6
= 2/3
2) probability of getting six or a number less than 3:
Sample space = {1,2,6}
P= 3/6
= 1/2
3) probability of getting even number or a number greater than five:
Sample space= {2,4,6}
P= 3/6
= 1/2
4) probability of getting an odd number or number divisible by 3:
Sample space= {1,3,5,6}
P= 4/6
= 2/3
45 over 48 because 3 over 8 times 1 over 6 equals 3 over 48 and 48 take away 3 equals 45
