Answer: 61.16 ft
Step-by-step explanation:
We can think in this situation as a triangle rectangle.
where:
The height of the tree is one cathetus
The shadow of the tree is the other cathetus.
We know that the angle of elevation of the sun is 78°, an angle of elevation is measured from the ground, then the adjacent cathetus to this angle is the shadow of the tree. And the opposite cathetus will be the height of the tree.
Now we can remember the relationship:
Tg(A) = (opposite cathetus)/(adjacent cathetus)
Where:
A = 78°
Adjacent cathetus = 13ft
opposite cathetus = height of the tree = H
Then we have the equation:
Tg(78°) = H/13ft
Tg(78°)*13ft = H = 61.16 ft
Y= 360.5(1+0.03)^1
y= 360.5(1.03)^1
y= 360.5(1.03)
y= 371.315
y= 371.32
Answer:
2.88
Step-by-step explanation:
Data provided in the question
= Population standard deviation = 7 miles per hour
Random sample = n = 32 vehicles
Sample mean = 
= 64 miles per hour
98% confidence level
Now based on the above information, the alpha is
= 1 - confidence level
= 1 - 0.98
= 0.02
For 
= 0.01
= 2.326
Now the margin of error is
= 2.88
hence, the margin of error is 2.88
Item | Frequency
0 | 2
1 | 5
2 | 4
3 | 3
5 | 1
Hope I helped!
.5x=10+.25x
.25x=10
x=40
When you buy 40 songs
The cost equals 20$
