There are ten time slots for these appointments. For the first time slot, there are 15 different students that can fill the slot. Next appointment, there are only 14 possible students since we already saw one. This goes on and on, 15 x 14 x 13... for 10 different time slots.
<span>15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 = 10,897,286,400
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You mean to simplify as this is an expression not an equation, as it has no equal sign...
Factor our 4 first
(4r^3t^2)/(-rt)
Now factor out -rt
-4r^2t
Answer:
See explanation
Step-by-step explanation:
Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).
Find the slopes of all sides:
- horizontal line
- slope undefined, so the line is vertical
- horizontal line
- slope undefined, so the line is vertical
Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle
Answer:
S ≈ 16.49 cm and R ≈ 16.76 cm
Step-by-step explanation:
We are given that:
Length = 16 cm
Width = 4 cm
Height = 3 cm
Thus,
The diagonal S of the bottom side is given by pythagoras theorem;
S² = 16² + 4²
S² = 256 + 16
S² = 272
S = √272
S ≈ 16.49 cm
Since we now have the bottom diagonal, then we can use Pythagoras Theorem to find the diagonal "R" of the box:
So, R² = S² + 3²
R² = (√272)² + 9
R² = 272 + 9
R = √281
R ≈ 16.76 cm
