Answer:
See explanation.
Step-by-step explanation:
(i) 5^3 = 125
log 5^3 = log 125
Using the rule log a^n = n log a
3 log 5 = log 125.
(ii) 3^-2 = 1/9
-2 log 3 = log 1/9
(iii) 10^-3 = 0.001
-3 log 10 = log 0.001
(iv) 81^3/4 = 27
3/4 log 81 = log 27.
Answer:
x=-5
Step-by-step explanation:
x squared+10x+25 factors into (x+5)(x+5). Set x equal to 0 and you get x=-5. To check, plug in negative 5 and you get 25+ -50 + 25=0 which is true.
Answer: 77.9
Step-by-step explanation: I just put it in my calculator lol
Answer:
1379.31meters is the line-of-sight distance from the television camera to the base of the stadium .
Step-by-step explanation:
As given
A blimp provides aerial television views of a tennis game.
The television camera sights the stadium at a 17degrees angle of depression. The altitude of the blimp is 400m.
Now by using the trignometric identity .

As the figure is given below .
Perpendicular = AC = 400 m
Hypotenuse = AB

Putting all the values in the identity .



AB = 1379.31 meters
Therefore the 1379.31 meters is the line-of-sight distance from the television camera to the base of the stadium .
Step-by-step explanation:
36 : x :: x : 16
16 x 36 = x2
576 = x2
Taking square root on both sides
24 = x