22. If you add a number to a series of data, and it doesn't change the mean, that number MUST equal the mean. Try adding the mean number into it, hopefully it doesn't change the mode or median either.
23. Basically I think (can't quite read all the question!) just work out the circumference of a circle with radius 20 feet (urgh imperial), ie 2*pi*r so 40pi.
Answer:
(6, 2), (0, -2), (-3, -4)
Step-by-step explanation:
The intercepts are clearly (0, -2) and (3, 0). This eliminates the bottom two choices.
Both of these are listed in the upper left choice, but the third point there, (-6, -5), is not on the graph. This leaves only the upper right choice. Checking the remaining two points in that choice, (6, 2) and (-3, -4), confirms they are both on the graph.
9514 1404 393
Answer:
- Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
- Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E
Step-by-step explanation:
The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.
The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.
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<em>Additional comment</em>
The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.
Answer:
(a) 320 cm²
(b) 75 cm³
Step-by-step explanation:
The scale factor from A to B is 8/4 = 2.
The scale factor of the areas is 2² = 4.
The scale factor of the volumes is 2³ = 8.
(a)
80 cm² * 4 = 320 cm²
(b)
600 cm / 8 = 75 cm³
