Answer:
82.8424 feet
Step-by-step explanation:
The leaf, the base of the tree and the top of the tree form a triangle.
The adjacent cathetus to the 46 degrees angle is 80 feet. The opposite cathetus to the 46 degrees angle is the tree height that we want to know. So, using the relation between the opposite cathetus and the adjacent cathetus (so the tangent of the angle), we can find the tree height (h):
tan(46) = h/80 = 1.0355
h = 80*1.0355 = 82.8424 feet
Answer:
150 ft
Step-by-step explanation:
The diagram shown gives us a picture of two similar right triangle.
The height of the man is similar to the height of the platform.
To find the height of the platform, multiply the height of the man by the scale factor.
Scale factor = the ratio of any corresponding sides of two similar triangles.
Scale factor = 100 ft ÷ 4 ft = 25
Height of man = 6ft
Therefore, height of platform = 6 ft × 25 = 150 ft
Answer:
Answer of 17 is ㏒(
+15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is x = -㏒12/㏒8 and Answer of 39 is x = 5
Step-by-step explanation:
17. ㏒x + ㏒(x+15)
Using property ㏒a + ㏒b = ㏒a×b
∴ ㏒x + ㏒(x+15)
㏒x×(x+15)
㏒(+15x)
The answer is ㏒(+15x)
33. 2^(x-5) = 8
2^(x-5) = 2^3
Using property 2^a = 2^b
Then a = b
∴x-5 = 3
x = 8
The answer is x = 8
35. 2^x = 10
Taking log on both sides gives
㏒2^x = ㏒10
x×㏒2 = ㏒10
x = ㏒10/㏒2
The answer is x = ㏒10/㏒2
37. 8^-x = 12
Taking log on both sides gives
㏒8^-x = ㏒12
-x×㏒8 = ㏒12
x = -㏒12/㏒8
The answer is x = -㏒12/㏒8
39. 5(2^3 × x) = 8
5(8×x) = 8
x = 5
The answer is x=5
Multiply both sides by 4
subtract 24r from both sides
simplify r - 24r to -23r
divide both sides by -23
two negatives make a positive
simplify 14/5/23 to 14/5 x 23
simplify 5 x 23 to 115
switch sides
Answer: r = 14/115.
Answer:
5
Step-by-step explanation:
