Answer:
M = 4.33885225095
Step-by-step explanation:
Area of the square ABFE = 10² = 100
M = 100 - (2P + Q)
Let’s calculate 2P + Q :
The area 2P + Q = area ΔABC + area of sector ACE + area of sector BCF
Note :
ΔABC is an equilateral triangle
m∠CBF = m∠CAE = 30°
area ΔABC = (CG × AB)÷2 = (8.660254037844×10)÷2 = 43.30127018922
CG = √(10^2 - 5^2)=8.660254037844 (Pythagorean theorem)
area of sector BCF = area ΔACE = 100π ÷ 12 = (8.333333333333)π
then
Area 2P + Q = area ΔABC + area sector ACE + area sector BCF
= 43.30127018922+(100÷12)π+(100÷12)π
= 43.30127018922+ (8.333333333333)π + (8.333333333333)π
= 95.66114774905
Conclusion:
M = 100 - (2P + Q) = 100-95.66114774905 = 4.33885225095
The trigonometric function's formula, which simulates the torque (tau) that the weight applied t minutes after Thomas attached it is
The angular speed of the minutes hand is
rad/min
Following the application of weight, the torque as a function of time t is,
<h3>
What is torque ?</h3>
Torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. Force (F) x Distance (r) = Torque is how torque is calculated. The distance (r) between the pivot point and the force's action point. A vector quantity is a torque. As a vector quantity, torque always has a direction that is perpendicular to the plane that contains the vectors of force and displacement.
To learn more about Torque, visit
brainly.com/question/16042080
#SPJ4
125
Do you need reasoning?
Answer:
See below in bold.
Its the second choice.
Step-by-step explanation:
The sides b and d are the legs of a 30-60-90 triangle so the sides are in the ratio 2 : 1 :√3 where 2 = the hypotenuse.
Here the hypotenuse = 10. Therefore:
10 = 2*5, so d = 1/2 * 10 and b = √3*5.
d = 5 , b = 5√3.
Now a , b and c are also the sides of a 30-60-90 triangle and we know that b = 5√3.
So a ( the hypotenuse = 2 * 5√3 = 10√3.
and c ( the longest leg) = 5√3 * √3 = 15.
