Answer:
0N
Step-by-step explanation:
Force = mass * acceleration
Given
Mass = 5kg
velocity = 19m/s
IF the velocity of the body is constant, then the acceleration will be zero.
Force = 5 * 0
Force = 0N
Hence the net force on the rock is 0N
Answer:
0.105 or 21/200
Step-by-step explanation:
2/8= 0.375 cups
0.375x0.72= 0.27 cups or 27/100
0.375-0.27= 0.105
Answer:
Step-by-step explanation:
Not sure if it was the question they asked buttt....
Answer:
The volume of the ice sculpture is 6.561 cu yd.
Step-by-step explanation:
Given:
The shape of the ice sculpture is square pyramid
The Side length = 2.7 yards
To Find:
The volume of the ice sculpture = ?
Solution:
The volume of the square pyramid V = ![a^2 \frac{h}{3}](https://tex.z-dn.net/?f=a%5E2%20%5Cfrac%7Bh%7D%7B3%7D)
where a is the side length
h is the height
Here the height and the side are of same length as they are square pyramid
On Substituting the values, we get
V = ![(2.7)^2 (\frac{2.7}{3})](https://tex.z-dn.net/?f=%282.7%29%5E2%20%28%5Cfrac%7B2.7%7D%7B3%7D%29)
V = ![(2.7)^2 (0.9)](https://tex.z-dn.net/?f=%282.7%29%5E2%20%280.9%29)
V = (7.29)(0.9)
V = 6.561 Cubic yards
Answer: ![\bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}](https://tex.z-dn.net/?f=%5Cbold%7B%28x-2%29%5E2%2B%28y-3%29%5E2%3D%5Cdfrac%7B1%7D%7B4%7D%7D)
Center = (2, 3) radius = ![\bold{\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Cbold%7B%5Cdfrac%7B1%7D%7B2%7D%7D)
<u>Step-by-step explanation:</u>
When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:
(x-h)² + (y-k)² = r² where
- (h, k) is the vertex
- r is the radius
1) Group the x's and y's together and move the number to the right side
4x² - 16x + 4y² - 24y = -51
2) Factor out the 4 from the x² and y²
4(x² - 4x ) + 4(y² - 6y ) = -51
3) Complete the square (divide the x and y value by 2 and square it)
![4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2](https://tex.z-dn.net/?f=4%5Bx%5E2-4x%2B%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%5D%2B4%5By%5E2-6y%2B%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2%5D%3D-51%2B4%5Cbigg%28%5Cdfrac%7B-4%7D%7B2%7D%5Cbigg%29%5E2%2B4%5Cbigg%28%5Cdfrac%7B-6%7D%7B2%7D%5Cbigg%29%5E2)
= 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²
= 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)
= 4(x - 2)² + 4(y - 3)² = -51 + 16 + 36
= 4(x - 2)² + 4(y - 3)² = 1
4) Divide both sides by 4
![(x-2)^2+(y-3)^2=\dfrac{1}{4}](https://tex.z-dn.net/?f=%28x-2%29%5E2%2B%28y-3%29%5E2%3D%5Cdfrac%7B1%7D%7B4%7D)
- (h, k) = (2, 3)
![r=\dfrac{1}{2}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B1%7D%7B2%7D)