The cities Alex could have drove between whose distance is about 2000 miles when rounded to the <em>nearest thousand</em> are : <em>Chicago to San Francisco</em> and <em>Atlanta to Los Angeles</em>
<u>From the table attached which shows the distance in miles between two cities in the United States</u> :
- Distance between Chicago to San Francisco = 2131
- Distance between Atlanta to Los Angeles = 2173
Only the distances between these two cities would give a value of 2000 miles when <em>rounded to the nearest thousand mile </em>
The other distances in the table will round to 1000 miles when <em>rounded to the nearest thousand mile</em>.
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Answer:
Beta is 60 degrees, and the angle of A should be 30 degrees.
Step-by-step explanation:
Its a right triangle, so it equals 180 degrees, there's a perpendicular angle at 'C' so its 90 degrees, B and its angle of 'Beta' 60 degrees, and angle 'A' can be 30 degrees. if in need of more explanation please look into complimentary and supplementary angles should give you a good idea.
8 - sqrt(3) is indeed the conjugate of 8 + sqrt(3).
What are you asking here? You are to "evaluate or simplify" what?
Answer:
q = 10
Step-by-step explanation:
As your equation is written, the radical sign only appies to 4 or 3, so you have ...
(√4)q -2 = (√3)q +8
(2 -√3)q = 10 . . . . . . . . . . . . . . . add 2-(√3)q
q = 10/(2 -√3) ≈ 37.3205... . . . . (an irrational number)
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We suspect you intend
√(4q -2) = √(3q +8) . . . . . . . <em>parentheses are required</em> for grouping
Square both sides, then add 2-3q.
4q -2 = 3q +8
q = 10
The value of q in the equation √(4q-2) = √(3q+8) is 10.
The first letter can be any one of 8. For each of those . . .
The second letter can be any one of the remaining 7. For each of those . . .
The third letter can be any one of the remaining 6. For each of those . . .
The fourth letter can be any one of the remaining 5. For each of those . . .
The fifth letter can be any one of the remaining 4.
The total number of possibilities is (8 x 7 x 6 x 5 x 4) = <em>6,720</em> .
(That's 8! / 3! .)
Note:
If you're allowed to use the same letter more than once,
then there are 8 choices for each of the 5 letters.
The total number of possibilities then is (8 x 8 x 8 x 8 x 8) = 32,768 .
(That's 8⁵ or 2¹⁵ .)
