Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
Answer:
4:14, 6:21, 8:28
Step-by-step explanation:
2x2=4 2x7=14 = 4:14
2x3=6 3x7=21 = 6:21
2x4=8 4x7=28 =8:28
Answer:
1. 8.576%
2. Yes
Step-by-step explanation:
1. Use the calculator
Enter: normalcdf(8, E99, 0, 5.9)
This is equal to .08756.
Convert this number into a percent = 8.756%
2.
First, calculate the residual
Residual = Observed - Predicted = 165 - 2.599(20) + 105.08 = 7.94
Use the calculator
Enter: normalcdf(7.94, E99, 0, 5.9)
This is equal to .0892.
Convert this number into a percent = 8.92%
This would be surprising, because the chance of this happening is very low.
Answer:
Below.
Step-by-step explanation:
-2 = -10
0=-5
2=5
4=10
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
