Answer:
x=60.9°
Step-by-step explanation:
Given that the height of ball from the ground is 150ft
The base of the pole with the ball is 80 ft from where Trey is standing
Trey's horizontal line of sight is 6 feet above ground, then;
The height of ball from Trey's horizontal line of sight is;
150ft-6ft = 144ft
To find the angle x, assume a triangle with a base of 80 ft , a height of 144 ft and a slant height that represent the line of sight at an angle x
To get angle x , you apply the tangent of an angle formula where;
tan Ф°= length of opposite site of the angle/length of the adjacent side of the angle
tan x°= 144/80
tan x°= 1.8
x°= tan⁻(1.8)
x°=60.9°
Answer:
o (16, 8, 12)
Step-by-step explanation:
1st number: 8*2 =16
2nd number:12-4=8
3rd number: given
Given:
The number of male professors = 15.
The number of female professors = 9.
The number of male teaching assistants = 6.
The number of female teaching assistants = 12.
A person is selected randomly from the group.
Required:
We need to find the probability that the selected person is a professor or a male.
Explanation:
The total number of people in the group = 15+9+6+12 = 42
n(S) =The total number of people in the group

Let A be the event that the selected person is a professor or a male.
The number of people who are professors or male = 15+9+6 = 30
n(A)= The number of people who are professors or male.

Let P(A) be the probability that the selected person is a professor or a male.



Final answer:
The probability that the selected person is a professor or a male is 5/7.
Answer:
6 fishes
Step-by-step explanation:
The question here is to find the number of fishes each person gets.
To solve this, we need to know the total amount of fishes caught and the number of persons that would be involved in the sharing.
From the question, we can see that they caught 16 fishes on Saturday and 14 fishes on Sunday. The total number of fishes caught is thus 16 + 14 = 30 fishes
This means they caught a total of 30 fishes on both days. Now they share equally the number of fishes. The number of persons is a total of 5. Hence we are looking at sharing 30 fishes equally among 5 persons.
Thus, each person will get 30/5 fishes which equals 6 fishes per person
Step-by-step explanation:
-2 = 0.75
-1 = 1.5
0 = 3
1 = 6
2 = 12