Given:
Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
Mountain B to helicopter = 43 degrees
Mountain B to Mountain A = 19 degrees
First, draw an illustration and label the enumerated given values.
Observe that there are two right triangles formed:
From the triangle formed by the helicopter and Mountain B,
let x = total height of mountain B
y = leg of first triangle (helicopter and mountain b)
h = hypotenuse
Use the Pythagorean Theorem:
cos (43) = y / h
From the second triangle formed by mountain b and a,
cos (19) = (1000 + y) / h
solve for h and y
then, solve for the height of Mountain B:
x = 1000 + y + 5210
Answer:
Positive
Step-by-step explanation:
As height is increasing, shoe size is also increasing (positive slope)
Negative correlation is when one variable increases and the other decreases (negative slope)
The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.
<h3>How to calculate the information?</h3>
Let hotdogs = h
Let hamburger = x
The expression will be:
h + x = 3.25
h + 7x = 12.25
Subtract the functions
6x = 9
x = 1.5
Therefore, hot dogs will be:
= 3.25 - 1.5
= 1.75
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.
Answer:
108 minutes
Step-by-step explanation:
48/4= 12 minutes per 1 station
9x12=108 minutes
Now, we know that he's charging $12 per session to each of his students, and he has 14 students currently, so his revenue is just 14 * 12 or 168 bucks.
now, let's take a peek as the session price goes up in jumps of 2, from 12, to 14, 16, 18 and so on, as each jumps happen, the students drop by 1, from 14, to 13, to 12 and so on.

notice, the revenue starts off at 168, goes up up, reaches 200 bucks and then starts to drop back down.
thus, that means the U-turn or vertex of that revenue function is at 4,200, namely h = 4, and k = 200
