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Lady bird [3.3K]
3 years ago
5

From the top of a tower that is 300 ft high, a person observes the base of a tree at an angle of depression of 45. identify the

horizontal distance from the tower to the tree rounded to the nearest foot?
answers:

A: 300ft
B: 245 ft
C: 212ft
D: 162 ft

i will give brainliest !! help ASAP
Mathematics
1 answer:
Alexeev081 [22]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Connect the top of the tower (assuming the person's height can be ignored), the bottom of the tower, and the tree to form a right triangle.

Since the person is looking down at a 45 degree, it means the triangle is a equilateral triangle, so the length from the base of the tower to the base of the tree is also 300ft.

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According to a​ study, 68​% of all males between the ages of 18 and 24 live at home. ​ (Unmarried college students living in a d
Marat540 [252]

Answer:

a) P(X≥143​)=0

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Step-by-step explanation:

If we use the normal approximation to the binomial distribution we have the following parameters (mean and standard deviation):

\mu=np=0.68*206=140.1\\\\ \sigma=\sqrt{np(1-p)}=\sqrt{206*0.68*0.32}=\sqrt{44.8256}=6.7

Then, we can calculate the probability of X being equal or more than 143 using the z-score:

z=\dfrac{X-\mu}{\sigma/\sqrt{n}}=\dfrac{143-140.1}{6.7/\sqrt{206}}=\dfrac{2.9}{0.4668}=6.2124\\\\\\P(x\geq143)=P(z>6.2124)=0

This contradicts the study as getting a sample with this proportion is almost impossible (if the proportion of 68% is true).

6 0
3 years ago
Find the coordinates of the other endpoint of the​ segment, given its midpoint M and one
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Answer:

P(2c - h, 2n - s )

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_________________________________________________

in the problem midpoint is m(c,n)

one point is Q(h,s)

let other point be P(x,y)

By using midpoint formula given above

for point P(x,y) and Q(h,s)

midpoint = (x+h)/2, (y+s)/2

also midpoint is m(c,n)

comparing m(c,n) with (x+h)/2, (y+s)/2

c = x+h/2

=> 2c = x+h

=> 2c - h = x

n = (y+s)/2

=> 2n = y+s

=> 2n - s = y

Thus, second endpoint is P(x,y) = P(2c - h, 2n - s )

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2 years ago
A man bought a car for $8200 and sold it for 80% of the price two years later. How much did he lose?
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Answer:

I don't know for sure, but I'm pretty sure its 1,640.

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