Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?
1 answer:
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You are looking for the shaded region that would be contained in both of the inequalities.
You have:
If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
You have:
If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
Answer:
Step-by-step explanation:
The missing figure is attached.
The volume of grain that could completely fill this silo is the sum of the volume of the cylinder and the volume of the hemisphere.
By definition, the volume of a cylinder can be calculated with this formula:
Where "r" is the radius and "h" is the height.
In this case you know that:
And the volume of a hemisphere can be found using the following formula:
Where "r" is the radius.
In this case:
Therefore, the volume of grain that could completely fill this silo, rounded to the nearest whole number, is:
Answer:
Pippa
Step-by-step explanation:
A square has
- parallel opposite sides
- perpendicular adjacent sides
- perpendicular diagonals
A rhombus has
- parallel opposite sides
- non-perpendicular adjacent sides
- perpendicular diagonals
Thus, we can identify the shape by comparing the slopes of the adjacent sides.
1. Draw the shape
See the graph below
2. Calculate the slope of AB
m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-1))/(9 - 5) = (4 + 1)/4 = 5/4
3. Calculate the slope of BC
If BC⟂AP, its slope should be -4/5 .
m = (y₂ - y₁)/(x₂ - x₁) = (1 - 4)/(15 - 9) =-3/6 = -1/2
½ ≠ -⅘
The two lines are not perpendicular.
Pippa is right. The shape is a rhombus.
