Answer:
Explanation:
We can use Newton's Universal Law of Gravitation to solve this problem:
., where 
is acceleration due to gravity at the planet's surface, 
is gravitational constant 
, 
is the mass of the planet, and 
is the radius of the planet.
Since acceleration due to gravity is given as 
, our radius should be meters. Therefore, convert 
kilometers to meters:
.
Now plugging in our values, we get:
,
Solving for :
.
Answer:
149 m
Explanation:
The distances across the lake is forming a triangle.
let the distance between the point and the left side be 'x'
and the distance between the point and the right be 'y'
and the distance across the lake be 'z' and the angle opposite to 'z' be 'Z' given:
∠Z = 83°
x = 105 m
y = 119 m
Now, applying the Law of Cosines, we get
z² = x² + y² - 2xycos(Z)
Substituting the values in the above equation, we get
z² = 105² + 119² - 2×105×119×cos(83°)
or
z = √22140.48
or
z = 148.796 m ≈ 149 m
The point is 149 m across the lake
Answer: The correct answer is (C).
Explanation:
Supply function:
Demand function:
S(p)=D(p), price for which supply is equal to demand:
After solving this above equation graphically, we will get the values of p.
1) p =96.236
2) p=( -118.258)
We will reject the negative value of p.
So, the value of p that price for which the supply equals the demand is $ 96.236 
$96.24. Hence, the correct answer is option (C).
