The atmospheric pressure at sea level is 14.7 lb/in2. This pressure is reduced by half for each 3.6 miles above sea level. Which
graph correctly identifies the amount of atmospheric pressure based on height, in miles, above sea level?
Please respond with the answer A B C or D they are in order.
Please respond with the answer A B C or D they are in order.
2 answers:
<u>Solution-</u>
The atmospheric pressure at sea level = 14.7 lb/in²
Pressure gets reduced by half for each 3.6 miles we move up.
Taking,
x = miles above the sea-level
y = pressure in lb/in²
0 14.7
3.6 7.35
7.2 3.675
10.8 1.8375
It can be observed that both the variables are in inverse proportion as the distance from sea-level increase the pressure decreases.
As only the second graph satisfies the points and inverse proportional condition, so that is the correct graph.
By plotting the graph in excel taking these data set, the following plot was obtained.
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Answer:
Perimeter = (2 + √3)·a
Step-by-step explanation:
Given: ΔABC is equilateral and AB = a
The diagram is given below :
AM is a median , PB ⊥ AB , PM = b
Now, by using properties of equilateral triangle, median is perpendicular bisector and each angle is of 60°.
We get, ∠AMB = 90°. So, by linear pair ∠AMB + ∠PMB = 180° ⇒ ∠PMB = 90°. Also, ∠ABC = 60° and ∠ABP = 90° (given) So, ∠PBM = 30°
Since, AM is perpendicular bisector of BC. So,
Now in ΔAMB , By using Pythagoras theorem
Now, in ΔBMP :
Perimeter of ABM = AB + PB + PM + AM
Hence, Perimeter of ΔABP = (2 + √3)·a units
