Answer:
smaller number = 623
middle number = 625
larger number = 627
Step-by-step explanation:
Variable: X = smallest number
If these numbers are consecutive and odd, then the numbers would be:
x, x+2, x+4
x + (x + 2) + (x + 4)= 1875
3x + 6 = 1875
3x = 1869
x = 623
x + 2 = 625
x + 4 = 627
Check:
623 + 625 + 627 = 1875
Answer:
The true statement is h < k ⇒ (3)
Step-by-step explanation:
∵ The equation of the graph is y =
+ k
∵ (-h, k) are the coordinates of its vertex point
∵ -h is the x-coordinate of the vertex point
∵ x-coordinate of the vertex point is -3
∴ -h = -3
→ Divide both sides by -1
∴ h = 3
∵ k is the y-coordinate of the vertex point
∵ y-coordinate of the vertex point is 4
∴ k = 4
∵ 3 < 4
→ That means h is smaller than k
∴ h < k
∴ The true statement is h < k
Answer:
The diameter of the hemisphere is 20.4 centimeters.
Step-by-step explanation:
The volume of an hemisphere is given by:

In this problem, we have that:

So



![r = \sqrt[3]{\frac{3*2233}{2\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3%2A2233%7D%7B2%5Cpi%7D%7D)

The radius is 10.2 centimeters.
The diameter is double the radius. So:
2*10.2 = 20.4
The diameter of the hemisphere is 20.4 centimeters.
Step-by-step explanation:
The Midpoint Formula works exactly the same way. If you need to find the point that is exactly halfway between two given points, just average the x-values and the y-values.