Answer:3.677 miles
Step-by-step explanation:
First we have to know that the distance between two consecutive milestone is 1mile, I have attached a diagram representing the problem, point C being the point of the balloon and point A and point B being the points of the consecutive milestones
I labelled the horizontal length between the balloon and the first milestone x and the height of the balloon h
From the diagram, we use the tan rule for right angle triangles to find x and h
Tan22=h/x
Making her the subject of formula
h=xtan22 (1)
Similarly
Tan20=h/(x+1)
h=(x+1)tan20 (2)
Putting (1) and (2) together
We solve for x, and then input our value for in (1) to get the value for h, the solution is in the second picture I sent
Note: tan rule says the tan of an angle is equal to the opposite side of the triangle(side directly facing the angle) divided by the adjacent side of the triangle( side of the triangle the angle is resting on)
Angle of depression from C to B is also angle of elevation from B to C( alternate angle are equal)
Answer: 3(x+4)=x+18
Step-by-step explanation: Break down the problem. It says three times the sum of a number and 4. You have to add the number and 4 first. Since you're multiplying by 3, put the sum of a number and 4 in parentheses. This equals the same as eighteen more than the number. It set up how it sounds. Add 18 to the number.
4(3+14c−12d)
=(4)(3+14c+−12d)
=(4)(3)+(4)(14c)+(4)(−12d)
=12+c−2d
=c−2d+12
Answer:
Step-by-step explanation:
Ok, so we have to help your pupil (lets call her Jane) figure out "why researchers should use a random sample to conduct a survey". So, i will list all of the choices.
- A random sample is likely to avoid bias
- In a random sample some members of the population are more likely to be selected than others
- Random samples provide consistency and systematically favor one choice over every other choice in each survey question
- Random sampling will provide a more representative sample of population
- Researchers can use a random sample to draw conclusions about the population
Random sampling is used to get the best average, and not favor any one opinion. For example, if you were trying to figure out the daily spending budget of people, you wouldn't just go to the upper clas part with all the rich people, you would survey from all over the town to get results from all kinds of people. So, the answers are:
- A random sample is likely to avoid bias (because thats exactly what they do)
- Random sampling will provide a more representative sample of population (because they are designed to do that)
- Researchers can use a random sample to draw conclusions about the population (thats why they take the samples)
Hope this helps
Answer:
Answer is: $148,809.52
Step-by-step explanation:
Susan has purchased a whole life policy with a death benefit of $200,000.
Assuming that she dies in 10 years.
Rate = 3% or 0.03
Future value after 10 years = 
= 
= 1.344
Purchasing power of proceeds = 
= $148,809.52
