Answer: x = -8
Step-by-step explanation: Since this line has <em>no slope</em>, it must be <em>vertical</em>.
The equation of a vertical line through a given point can
always be written x = the x-coordinate of the given point.
So the answer to this problem is x = -8.
Answer:
=
412
feet
Step-by-step explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90°−27°
=63°
The distance to the boat is the side opposite the angle of
63°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=tan 63°
distance
210=tan 63°
distance=210×tan 63°=412 feet
Answer:
368
Step-by-step explanation:
hope this helps
Answer:
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 12.1 - 0.4 = 11.7 units
The upper end of the interval is the sample mean added to M. So it is 12.1 + 0.4 = 12.5 units
The 95% confidence interval for the average number of units that students in their college are enrolled in is between 11.7 and 12.5 units.
P = 2L + 2W
L = W + 6
P = 2(W + 6) + 2W
P = 2W + 12 + 2W
P = 4W + 12
5 + 2(3x + 4) + x
5 + 6x + 8 + x
5 + 8 + 6x + x
13 + 7x Stop Don't go any further. That's the 11th commandment: Thou shalt not combine unlike terms.
Paul has a long drive. If Shelly waits up she better have some snacks
4*65 + x = 500 The x stands for the number of miles left to go
270 + x = 500 Subtract 280 from both sides
x = 500 - 270
x = 230
Just so you know if he keeps going at 65 mph the amount time will be
230/65 = 3.53 hours.