Answer:
b = 55 degrees
Step-by-step explanation:
The angles 30, a, b and 45 must sum up to 180 degrees
Subtracting (30 + 45) from both sides leaves us with a + b = 105 degrees.
But b = a + 5. Substituting a + 5 in the equation above yields
a + a + 5 = 105 degrees, so that
2a = 100 degrees, and a = 50 degrees. Then b = a + 5, or b = 55 degrees.
Answer:
The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.
Step-by-step explanation:
Given information:
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.


We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

According to Pythagoras


.... (1)
Put z=1 and y=2, to find the value of x.




Taking square root both sides.

Differentiate equation (1) with respect to t.

Divide both sides by 2.

Put
, y=2,
in the above equation.

Divide both sides by 2.



Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.
I think It is 2. it makes the most sense to me
I’m not sure but I’m commenting Bc I really need an answer I’m so sorry
I attached the picture associated with this question.
Answer:x = 2
y = 5
Explanation:ABCD is a parallelogram. This means that each two opposite sides are equal.
This means that:1- AB = CD2y + 1 = 7x - 3 ...........> equation I
2- AD = BC3x = y + 1
This can be rewritten as:y = 3x - 1............> equation II
Substitute with equation II in equation I and solve for x as follows:2y + 1 = 7x - 3 ...........> equation I
2(3x - 1) + 1 = 7x - 3
6x - 2 + 1 = 7x - 3
6x - 1 = 7x - 3
7x - 6x = -1 + 3
x = 2
Substitute with x in equation I to get y as follows:y = 3x - 1
y = 3(2) - 1
y = 6 - 1
y = 5
Hope this helps :)