Start with a proportion, to get the number of degrees in 30 seconds:
(150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .
Cross multiply the proportion: (150 x 30) = 5 x D
4,500 = 5 x D
Divide each side by 5 : 900 = D
The globe turns 900 degrees in 30 seconds.
How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
(900 / 360) = <em>2.5 rotations</em> in 30 seconds.
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.
2(4a-12)+3a=6a
Multiply the bracket by 2
(2)(4a)=8a
(2)(-12)=24
8a-24+3a=6a
8a+3a-24=6a ( combine like terms)
11a-24=6a
Move 11a to the other side. Sign changes from +11a to -11a.
11a-11a-24=6a-11a
-24=6a-11a
-24=-5a
Divide both sides by -5
-24/-5=-5a/-5
Answer: a=24/5 or a= 4 4/5 or in decimal x=4.8
Answer:
Pacific Ocean at a grand 63 million square miles
Step-by-step explanation:
