Answer:
75.39 in^2
Step-by-step explanation:
circumference=2πr
30.8=2(3.14)r
30.8=6.28r
4.9=r
Now that we know the radius, we can plug it in for the area equation
area=πr^2
area=(3.14)(4.9)^2
area=(3.14)(24.01)
area=75.39 in^2
I’m not sure about the estimates but the overall answers should be correct
To get the resultant magnitude and direction of the forces we need to separate the force into its x and y components. For the x components it is the sum of 2000cos(30) and 900cos(45), which is 2368.4469 N. For the y components it will be the sum of 2000sin(30) and -900sin(45), the value for the second force is negative because it is pointing downwards, their sum would be 363.6038 N. The magnitude for the resultant force can be determined using the pythagorean theorem R=sqrt(2368.4469^2 + 363.6038^2) while its direction is found using tan^-1(363.6038/2368.4469). The final answer would be 2396.1946 N with an angle of 8.7279 degrees from the right side of x axis.
By addition of the ratio, 5/8 people are adults
144 * 5/8 = 90
Answer:
∠ TWV = 106°
Step-by-step explanation:
∠ TWV and ∠ SVW are same- side interior angles and are supplementary, thus
∠ TWV + ∠ SVW = 180°, that is
3x - 5 + 2x = 180
5x - 5 = 180 ( add 5 to both sides )
5x = 185 ( divide both sides by 5 )
x = 37
Thus
∠ TWV = 3x - 5 = 3(37) - 5 = 111 - 5 = 106°