Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' = 
degree
so angle of elevation at point C = 14 + 
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 + 
= 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 = 
0.2655 =
BC = 
BC = 753.239 feet
Similarly in ΔABD
tan45.17 = 
1 =
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.
Answer:
B is 50° and C is 130°
Step-by-step explanation:
complementary angle
x+x=90°
40°+x=90°
x=90°-40°
x=50°
supplementary angles
x+x=180
50+x=180
x=180-50
x=30°
Answer: y=9 (point B on the graph)
Step-by-step explanation:
y=3x
x=3
y=3(3) (3×3)
3x3=9
So 9(y)=3(3x)
Point B which is located at the 9 mark
Answer:
It’s 42
Step-by-step explanation: when Quinn return home, it was 0 minutes he turned on the air conditioner. So temperature at that time is equal to value of Q when t=0
Q=42-0.7t
=42-0.7(0)
=42
Let x be the discrete random variable whose value is the number of successes in n trials.
The probability distribution function for x of the binomial distribution B(n,p) is defined as
Given that the random sample size is 
let x represent number of customers who purchase running shoes
Let "p" be the probability of customers in a sporting goods store purchase a pair of running shoes.
It is given that 70% of the customers in a sporting goods store purchase a pair of running shoes.
Thus 
Thus the Probability distribution of x is given by
, where 
