Left f(x)=|x| and g(x)=x+2. what are the domain and range of (f°g)(x)
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Answer:
Option 3. 71 ft. is the distance between B and top of the hill.
Step-by-step explanation:
Let the height of the hill is h ft and the distance of A from the hill be x ft and distance from B to hill is y.
It is given distance between A and B is 45 ft. ∠BAO = 65° and ∠ABO = 80°.
We have to find the distance of B from the top of the hill.
Now from ΔACO
From ΔBCO
h = 5.67x
Now h = 5.67x = 2.14(45-x)
5.67x = 96.3 - 2.14x
2.14x + 5.67x = 96.3
7.81x = 96.3
x = 96.3/7.81 = 12.33 ft
Therefore
Therefore 71 ft is the distance between B and the top of the hill.
the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.
Given, the members of the junior varsity swim team wear glasses is 55%.
And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.
Let the total no. of members be x.
So, the members of the junior varsity swim team wear glasses (55%),will be
.
The total number of members not wearing glasses, will be
.
Now, the no. of members not wearing glasses and in 10th grade will be,
We know that the probability of an event E, P(E) will be,
So, the probability for no. of members not wearing glasses and in 10th grade will be,
Hence the nearest whole percent of probability is 14%.
For more details on probability follow the link:
in log multiplication means addition
hence we add giving us