Answer:
The force is 12 N
Step-by-step explanation:
* Lets explain how to solve the problem
- Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
- If y ∝ x , then y = kx , where k is the constant of variation
* Lets solve the problem
- The force acting on the object varies directly with the object's
acceleration
∵ The force is F in newtons and a is the acceleration is m/s²
∴ F ∝ a
∴ F = ka
- To find k substitute F and a by the initial values of them
∵ A force of 10 N acts on a certain object, the acceleration of the
object is 5 m/s²
∵ F = 10 N when a = 5 m/s²
∵ F = ka
∴ 10 = k(5)
- Divide both sides by 5
∴ K = 2
- Substitute the value of k in the equation
∴ F = 2a
- Lets find the force when the acceleration is 6 m/s²
∵ a = 6 m/s²
∴ F = 2(6) = 12
* The force is 12 N
Answer:
Hello :D
Step-by-step explanation:
Answer: a) 0.16, b) 0.058, and c) 0.856.
Step-by-step explanation:
Since we have given that
Number of students = 500
Number of students smoke = 179
Number of students drink alcohol = 228
Number of students eat between meals = 119
Number of students eat between meals and drink alcohol = 59
Number of students eat between meals and smoke = 72
Number of students engage in all three = 30
a) Probability that the student smokes but does not drink alcohol is given by
b) eats between meals and drink alcohol but does not smoke.
c) neither smokes nor eats between meals.
Hence, a) 0.16, b) 0.058, and c) 0.856.
We need the radius to find the surface area. Since we have the circumference we can use that to find the radius.
C = 2πr
23 = 2(3.14)r
23 = 6.28r
23/6.28 = r
3.66 = r
Now use the radius to find the surface area.
SA = 4πr²
SA = 4(3.14)(3.66)²
SA = 168.33
Surface area is C. 168 cm²
Hope this helps :)
