Z-4/9-1/3=5/9
z-4 =5/9(9-1/3)
z-4 =4.414814815
z =8.814
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Answer:
33 children
62 adults
Step-by-step explanation:
Set up 2 equations (a=adults c=children)
The first equation will be 3.25(a)+3 = 300.5
The second equation will be a + c = 95
Subtract c from both sides to get:
a = 95 - c
Replace c in the 1st equation to get:
3.25(95-c) + 3c = 300.5
Distribute 3.25 to 95 and -c:
308.75 - 3.25c + 3c = 300.5
Subtract 308.75 from both sides:
-3.25c + 3c = 300.5 - 308.75
Combine like terms:
-0.25c = -8.25
Divide by -0.25
children = 33
Subtract 33 from 95 to get
adults = 62
1/10 * 4/10 = 4/100 divide both by 4 it'll be 1/25
Answer:
7361.56 yards
Step-by-step explanation:
Height of the tower = 906 yards
Mauricio's height = 2 yards
Angle of elevation = 
Let the distance between Mauricio and the base of the tower be represented by x.
The difference between the height of tower and Mauricio's height = 906 - 2
= 904 yards
So that applying the appropriate trigonometric function, we have;
Tan θ = 
Tan
= 
0.1228 = 
x = 
= 7361.5635
x = 7361.56 yards
The distance between Mauricio and the base of the tower is 7361.56 yards.