Answer:
A
Step-by-step explanation:
Answer:
The load weight is 2.29 N
Step-by-step explanation:
We note that at equilibrium, the sum of the moment and the sum of forces about a point is zero, therefore, we have;
∑M =0
∑F = 0
The parameters given are;
The distance of the load from the hinge = 35 cm
The distance of the load from the spring balance = 15 cm
The applied force on the spring balance = 4 N↑
The direction of the applied force on the spring balance = Upwards
Let the weight of the load = W↓
The direction of the weight of the load = Downwards
We use downward negative and upward positive coefficients for the forces
We take moment about the hinge as follows;
Sum of moments equals zero gives;
4 × (35 - 15) - W × 35 = 0
∴ 4 × (35 - 15) = W × 35
4 × 20 = W × 35
W = 4 × 20/35 = 2.29 N
The weight of the load = 2.29 N.
The key to this question is calculating the percentage of students within each category (honor roll or non-honor roll) who received the class requested. We need to calculate the ratio of students who received the class they requested and who did not for both honor roll and non-honor roll students :
Honor Roll :
215 + 80 = 295 total honor roll students
215/295 = 72.88% = percentage of honor roll students who received class requested
80/295 = 27.12% = percentage of honor roll students who did not receive class requested
Non-Honor Roll :
125 + 80 = 205 total non-honor roll students
125/205 = 60.98% = percentage of non-honor roll students who received class requested
80/205 = 39.02% = percentage of non-honor roll students who did not receive class requested
72.88% of honor roll students received the preferred class as opposed to only 60.98% of non-honor roll students. Therefore, there is an advantage.
Answer:
about 154.3
Step-by-step explanation:
Answer:
The perimeter of the rectangle is represented by , measured in centimeters.
Step-by-step explanation: