Given:
The volume of the rectangular prism is
Two dimensions are (x+1) and (x+3).
To find:
The missing dimension.
Solution:
We know that, volume of a rectangular prism is
It means, volume of a rectangular prism is the product of all dimensions.
We have,
Splitting the middle terms, we get
Splitting the middle term, we get
So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).
Therefore, the missing dimension is (4x-11).
Answer:
(2,0)
Step-by-step explanation:
Take the average of the two x-coordinates: (10-6)/2 = 2
Take the average of the two y-coordinates: (4+(-4))/2 = 0
Midpoint: (2,0)
Answer:
8x -y = 67
Step-by-step explanation:
When given a point and slope, it is useful to start with the point-slope form of the equation of a line:
y -k = m(x -h) . . . . . for a line with slope m through point (h, k)
Filling in your numbers, this is ...
y +3 = 8(x -8)
8x -64 -y -3 = 0 . . . . . . subtract (y+3)
8x -y = 67 . . . . . . . . . . . add 67 to get standard form
92°. The angles in a triangle always add up to 180°.
A helpful way to remember what the interior angles add up to in any polygon is with this formula:
180 (n - 2), where n is the number of sides.
For example, with a triangle: 180 (3 - 2) = 180 (1) = 180. The interior angles in a triangle all add up to 180.
With a rectangle/quadrilateral: 180 (4 - 2) = 180 (2) = 360.
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Answer:
A, B, & D
Step-by-step explanation:
Jaime is at the smallest angle from the two friends.
Pat is at an angle of 90° to Chris and Jaime.
If they meet at Pat’s entrance, then Chris will have walked a shorter distance than Jaime.