Answer:
Distance covered by the boat was 446.27 feet
Step-by-step explanation:
A boat which is at the point C approaching the light house.
At point C angle of depression to the boat was 17°44' and when boat stops at point B angle of depression was 48°13'.
Length of the tower is 200 feet then distance DC traveled by the boat.
Since at point B angle of depression was 17°44' so we will convert the angle in degrees.
Angle of depression = ∠ACB = 17°44' = 
From ΔABC
tan 17.73° = 
Now in ΔABD
∠ADB = 48°13' = 48° + 
= 48.217°
Now 
Therefore distance DC = BC - BD
DC = 625 - 178.73 = 446.27 feet
So the answer is 446.27 feet was distance covered by the boat.
The continuity of
and its limiting behavior guarantees that
is Riemann integrable, so you can write
where
and
, so that
The variance of the binomial distribution of the number of households with landline service is 2.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The variance of the distribution is given by:
V(X) = np(1 - p)
In this problem, the parameters are given as follows:
n = 8, p = 0.504.
Hence the variance is given by:
V(X) = 8 x 0.504 x 0.496 = 2.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer: y=-4x-31
Step-by-step explanation:
To find a ling that is parallel to the given line and passes through the given point, we need to use the given point. We know that the slope MUST stay the same because parallel lines NEVER touch. All we have to do is plug in the point and find the y-intercept.
-7=-4(-6)+b [multiply]
-7=24+b [subtract both sides by 24]
b=-31
Now, we know that y=-4x-31 is the equation.
Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE
