Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
The value of F(G(x)) is 2x^2 - 13
<h3>How to solve the composite functions?</h3>
The functions are given as:
F(x)=2x+1
G(x)=x^2-7
To find (FxG)(x), we make use of
(FxG)(x) = F(G(x))
So, we have:
F(G(x))=2G(x)+1
Substitute G(x)=x^2-7
F(G(x))=2(x^2-7)+1
Expand
F(G(x))=2x^2 - 14 + 1
Evaluate the like terms
F(G(x))=2x^2 - 13
Hence, the value of F(G(x)) is 2x^2 - 13
Read more about composite functions at:
brainly.com/question/20379727
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Answer:
10 + 10 + 10 = 30
5 + 5 + 10 = 20
4 + 4 + 5 = 13
5 + 19 x 2 = 43
Step-by-step explanation:
Pair of shoes = 10
Boy = 5
2 snow cones = 4
One shoe = 5
boy + 2 snow cones + a pair of shoes (his feet) x one snow cone = 43
I really hope this helps!
Answer:
If 1 gallon = 16 cups, then 4 gallons = 64 cups. (16 x 4)
So if there are 4 gallons of water, then there are 64 cups. If 1 cup of water evaporates a minute then it will take 64 minutes for all the water to be gone.
Answer: 64 minutes
OR
Answer: An hour and 4 minutes
Step-by-step explanation:
2x + 3y = 12 (1st)
5x − y = 13 (2nd) ---> y = 5x - 13
Substitute y = 5x - 13 into (1st) equation
2x + 3(5x - 13) = 12
2x + 15x - 39 = 12
17x - 39 = 12
17x = 51
x = 3
substitute x = 7 into y = 5x - 13
y = 5x - 13
y = 5(3) - 13
y = 15 - 13
y = 2
Answer
solution x = 3 and y = 2
