Answer:
The volume of a prism on its own = 248.5cm^3
The volume of a cylinder = 87.92cm^3
Step-by-step explanation:
The volume does not change for the prism as the hole was drilled.
We can show the drilled space with v(l) and (p) for prism V
v(l) 248.5p - 87.92p + 87.92p
= 248.5p
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
#LearnwithBrainly
Answer:
So basically you add x with 9 and you get 9x
Substitute -3 to the function equation where x found . therefore it will be 19--3=22. the final answer is 22
To find median . . . list the number in order from least to greatest
10 , 11, 12, 12 13, 15
Then cross of a number from each side until you get to the middle number or middle 2 numbers.
IF there are 2 numbers add them together and divide by 2
12 + 12 = 24
24 / 2 = 12
Your median is 12
To find mean (this is the same as average) add all the numbers to get a total.
10 + 11 + 12 + 12 + 13 + 15 = 73
Then count the number of items added . . .6
Take the total and divide by the items counted
73 / 6 = 12.1666
Your directions say to round to the nearest tenth place.
12.166 = 12.2
