Answer:
<em>90 degree</em>
Step-by-step explanation:
Three points A, B, and C are added and shown in attached picture.
As the property of inscribed angle in circle:
angle BAC = (1/2) x 88 = 44 deg
As the property of complement angle:
angle ABC = 180 - 89 = 91 deg
As the property of sum of three angles in a triangle:
angle ACB + angle ABC + angle BAC = 180 deg
=> angle ACB = 180 - angle ABC - angle BAC = 180 - 44 - 91 = 45 deg
One more time, we use the property of inscribed angle in circle:
x = 2 x angle ACB = 2 x 45 = 90 deg
Hope this helps!
Answer:
Force, F = 68.93 pounds
Step-by-step explanation:
Given that,
Mass of the astronaut, m = 80.70 kg
Acceleration due to gravity on Mars,
The force acting on him is given by using second law of motion as :
F = 306.66 N
Since, 1 newton = 0.224 pound
F = 306.66 N = 68.93 pounds
So, 68.93 pounds force she exerts on the martian surface. Hence, this is the required solution.
Answer:
h = 21.5cm.
Step-by-step explanation:
<em>Step one:</em> Simplify the volume.
220.16 x (pi) = 691.65cm^3.
<em>Step two:</em> Isolate h.
Cylinder volume equation: V = (pi)(r^2)(h), where r is the radius and h is the height.
Divide out the pi and r^2 on both sides to isolate h and move the equation to V/(pi)(r^2) = h.
<em>Step three:</em> Solve for h.
691.65/(pi)(3.2^2) = 21.5cm rounded to the nearest tenths place.
To illustrate this, please check the diagram below.
