Answer:
15
Step-by-step explanation:
All sides of a rhombus are equal, so

Answer:
No, they are not.
Step-by-step explanation:
The easiest way to find a function on a graph is by finding if any points share the same x value. All of these do, so none are functions.
<h3>
Answer: The vertex is located at (2, 2)</h3>
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Explanation:
The general vertex form is
y = a(x-h)^2 + k
When we compare the function your teacher gave you to this template, then we see that
The vertex is therefore (h,k) = (2,2)
The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).
Answer:
Step-by-step explanation:
The shape consists of three parts: a half sphere, a round cylinder and a round cone.
The half sphere volume = 1/2 * 4/3 * π * (4)^3
= 32/3 π
The round cyllinder volume = π * (4)^2 * 10
= 160 π
The round cone volume = 1/3 * π * (4)^2 * 3
= 16 π
Adding them together, the volume of shape
= 32/3 π + 160π + 16π
= (32/3 + 160 + 16)*3.14
= 586.13
Similarly the surface area
= (4π4^2)/2 + 2π4*10 + π*4*5
= (32+80+25)*3.14
= 430.18