2(3) - (-2) = 8 … r u missing part of the question?
Answer: ![11.78\ in.^3](https://tex.z-dn.net/?f=11.78%5C%20in.%5E3)
Step-by-step explanation:
Given
Radius of cone ![r=1.5\ in.](https://tex.z-dn.net/?f=r%3D1.5%5C%20in.)
Height of cone ![h=5\ in.](https://tex.z-dn.net/?f=h%3D5%5C%20in.)
Ice required to fill the cone=Volume of cone
The volume of a cone is
![V=\dfrac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
Put values
![\Rightarrow V=\dfrac{1}{3}\times \dfrac{22}{7}\times 1.5^2\times 5=11.78\ in.^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B22%7D%7B7%7D%5Ctimes%201.5%5E2%5Ctimes%205%3D11.78%5C%20in.%5E3)
Answer:
y < 1/2x - 3
Step-by-step explanation:
You can write the inequality equation for the graph using the form y = mx + b. The inequality line has a y-intercept at (0,-3). This means b = -3. It also has a slope of 1/2 since the line moves up 1 and over 2 to the next point on the line.
This means the lines equation is y = 1/2x - 3. But since this is an inequality, you must use an inequality sign. Since the line is dashed it is not equal to. Your options are < and >. Use the point (0,0) to test which sign is appropriate.
y < 1/2x - 3 y > 1/2x - 3
0 < 1/2(0) - 3 0 > 1/2(0) - 3
0 < -3 0 > -3
The answer is y < 1/2x - 3 since (0,0) doesn't make it true and (0,0) is not shaded in the graph. This means it is not a solution.
Answer:
6400
Step-by-step explanation:
they are being squared in the pattern
Answer:
The equipment will cost $1740.
Step-by-step explanation:
Let the Cost of equipment, furniture and decoration be x, y and z.
Now, According to question,
x + y + z = 3600 ...... (1) (cost of all items)
x = 500 + y (∵ equipment cost 500 more than furniture)
and y = 2z ( ∵ furniture twice as much as decoration)
so, z = y/2
Now substituting the value of x and z in eq (1)
![x + y + z = 3600](https://tex.z-dn.net/?f=%20x%20%2B%20y%20%2B%20z%20%3D%203600)
![500 + y + y + \frac{y}{2} = 3600](https://tex.z-dn.net/?f=500%20%2B%20y%20%2B%20y%20%2B%20%5Cfrac%7By%7D%7B2%7D%20%3D%203600)
![2y + \frac{y}{2} = 3600 - 500](https://tex.z-dn.net/?f=2y%20%2B%20%5Cfrac%7By%7D%7B2%7D%20%3D%203600%20-%20500)
![\frac{5y}{2} = 3100](https://tex.z-dn.net/?f=%5Cfrac%7B5y%7D%7B2%7D%20%3D%203100)
![y = \frac{3100\times 2}{5} = 1240](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B3100%5Ctimes%202%7D%7B5%7D%20%3D%201240)
So, the cost of furniture (y) = 1240
∴ Cost of equipment = y + 500 = 1240 + 500 = 1740
Therefore the cost of equipment was $1740.