Answer:
36
Step-by-step explanation:
tan^-1(8/11)=36.027
Answer:
AB = 
Step-by-step explanation:
calculate the distance using the distance formula
d = 
with (x₁, y₁ ) = B (3, 2 ) and (x₂, y₂ ) = A (7, 4 )
AB = 
= 
= 
= 
≈ 4.47 ( to 2 dec. places )
Answer: $3.30
Explanation:
You set up a proportion where
9.25 X
------ = -----
2.8 1
Then you cross multiply and see that...
2.8X = 9.25
Then X = 9.25 / 2.8 = 3.30
Answer:
4.11 miles.
Step-by-step explanation:
In the image that I am going to attach we can see the description of the statement in a graph, now, the right triangle is formed, and we can apply Pythagoras, and the hypotenuse would be equal to:
(5 ^ 2 + x ^ 2) ^ (1/2)
The speed is equal to:
V = d / t, therefore the time is t = d / V, the total time would then be:
total time = (5 ^ 2 + x ^ 2) ^ (1/2) / 3 + (7-x) / 6
we derive with respect to x, and we are left with:
dt / dx = x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) - 1/6 = 0
x / (3 * (5 ^ 2 + x ^ 2) ^ (1/2)) = 1/6
6x / (3 = (5 ^ 2 + x ^ 2) ^ (1/2)
(2 * x) ^ 2 = (5 ^ 2 + x ^ 2)
4 * x ^ 2 = 25 + x ^ 2
3 * x ^ 2 = 25
x ^ 2 = 25/3
x = 2.88
now we replace
7 - x = 7 - 2.89 = 4.11
In other words, the answer is 4.11 miles.
Answer:x= 45°
Step-by-step explanation:
The value of angle LKN is 75°becausw the theorem vertically oposite angles
Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°
The value of x is also 45° because of vertically oposite angles theorem