Answer:
Volume = 12 *6 *8 , Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 )
Step-by-step explanation:
Given : Cuboid with length 12 , width 6 and height 8 units.
To find : Drag each expression to show whether it can be used to find the volume, surface area, or neither.
Solution : We have given Cuboid with
Length = 12 units ,
Width = 6 units
Height = 8 units.
Volume of cuboid = length * width * height .
Volume = 12 *6 *8.
Surface area = 2 ( l *w + h *+w *h)
Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 ).
None = 12 +6 +8.
Therefore, Volume = 12 *6 *8 , Surface area = 2 ( 12 *6 + 8 *12 + 6* 8 ) .
Answer:
2/3
Step-by-step explanation:
(6 -4) / (2 - (-1)) =(2) / (2+1) = 2/3
9514 1404 393
Answer:
12 minutes
Step-by-step explanation:
Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.
In terms of baths per minute, the relationships are ...
1/c + 1/h = 1/3
1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes
Subtracting the first equation from twice the second, we get ...
2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)
1/h = 2/4.8 -1/3 = 1/12
h = 12
It takes the hot tap 12 minutes to fill the tub alone.
Answer:
All angles in this diagram are 51 or 129. See below for a specific angle.
Step-by-step explanation:
Parallel lines cut by a transversal have specific angle relationships.
- Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 3, 6, 7, and 10 are all congruent and are pairs of alternate interior angles. 4, 5, 8, and 9 are congruent as well.
- Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 2 & 11 are congruent alternate exterior angles. 1 and 12 are another set.
- Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 2 = 129, then Angle 1+ 129 =180. Angle 1 must be 51 degrees.
- Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 3 are both 129.
Using these relationships, the following angles have the following measures:
Angle 1 = 51
Angle 2 = 129
Angle 3 = 129
Angle 4 = 51
Angle 5 =51
Angle 6 = 129
Angle 7 = 129
Angle 8 = 51
Angle 9 = 51
Angle 10 = 129
Angle 11 = 129
Angle 12 = 51
