The acceleration of the object will be 10 m/s²
Step-by-step explanation:
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 varies directly with x, then y ∝ x
- y = k x, where k is the constant of variation
For a moving object, the force acting on the object varies directly with the object's acceleration.
Assume that the force is F and the acceleration is a
∵ F ∝ a
∴ F = k a
∵ F = 20 newtons
∵ a = 4 m/s²
- Substitute these values in the equation above to find k
∵ 20 = k (4)
∴ 20 = 4 k
- Divide both sides by 4
∴ k = 5
- Substitute the value of k in the equation
∴ F = 5 a ⇒ equation of variation
∵ F = 50 Newtons
∵ F = 5 a
∴ 50 = 5 a
- Divide both sides by 5
∴ 10 = a
∴ a = 10 m/s²
The acceleration of the object will be 10 m/s²
Learn more:
You can learn more about variation in brainly.com/question/10708697
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Answer:
C = 24.5 in
Step-by-step explanation:
Formula to find the circumference of a circle is :
C = 2πr
Here,
r ⇒ radius
So let us solve now.
C = 2πr
C = 2 × π × r
C = 2 × 3.14 × 3.9
C = 24.492 in
So, they've asked for nearest 10th.
Therefore, the answer will be 24.5 in.
Hope this helps you :-)
Let me know if you have any other questions :-)
Answer: 1728
Step-by-step explanation: You multiply 12 times 12 because we have to find how many items are in a 12 dozen first which is 144 because there are 12 items in one dozen. We already know that there are 144 items in 12 dozens and there are 12 dozens in a gross, which is 144 items in total. Now we have to multiply 144 times 12 to find how many items are in a great gross. 144 times 12 is 1728.
Answer:
Step-by-step explanation:
it says Jane is 115 years older than Marian it means that Jane is 253 years old