Tristan got in the elevator at level 2. He then went 5 floors down towards the parking garage. Finally he went back up 6 floors
1 answer:
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Answer:
A cone with base radius of 17 in
Step-by-step explanation:
Given
Triangle ABC
Where
AB = BC = 24in
D = Midpoint of AC
Required
Which best describes the resulting three-dimensional figure?
First, the length of the third side of the triangle has to be calculated
The sides of triangle ABC are AB, AC and BC
Given that the perimeter = 82 in
AB + AC + BC = 82
Recall that AB = BC = 24in; The equation becomes
Collect like terms
Given that, the triangle is rotated at D, the midpoint of AC
The length of the midpoint has to be calculated
At this point, we can dismiss options C and D.
This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.
So, we have option A and B to select from.
When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.
This implies that, a cone with base radius D is generated.
Recall that D = 17.
Hence, <em>A cone with base radius of 17 in</em>
Answer:
The correct option is;
A 1
Step-by-step explanation:
The given rectangle TUVW has coordinates T(a, b), U (a + 2, b + 2), V ( a + 5, b - 1) and W (a + 3, b - 3).
Given that the coordinates of T and U are T (a, b), and U (a + 2, b + 2), we have;
The slope, m of the line TU is is found by the following relation;
Where we put (x₁, y₁) = (a, b) and (x₂, y₂) = (a + 2, b + 2), we have;
m = ((b + 2) - b)/((a + 2) - a) = 2/2 = 1
Whereby the slope of a line parallel to another line are equal, we have that the slope of the line parallel to the line that contains the side TU is also 1.