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djverab [1.8K]
3 years ago
5

Five friends are leaving a bar for home. Aside from the owner of the car, one other person is deemed able to operate the vehicle

. In how many ways can these five friends be seated for the ride home?
Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

4

Step-by-step explanation:

one person is deemed to drive and that person is fixed on the driver's seat no mater which arrangement.

we have now 2 more seats one adjacent to the driver and one rear (two combined).

so the total ways in which all five can be arranged is as follows.

driver, adjacent to him(1)  and three back.

driver adjacent to him (different person) and three back.

see the driver is always fixed so we can ignore him.

thus we when driver set fixed , on two remaining seats (adjacent to driver and the back )there can be 4 different combinations.

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Wittaler [7]

Answer:

a = 64 \pi x^{12}y^{8}

Step-by-step explanation:

r = 8x^{6}y^{4}\\a = \pi r^{2} = \pi (8x^{6}y^{4})^{2} = 64 \pi x^{12}y^{8}

7 0
3 years ago
Classify each pair of angles as Complementary, Supplementary or neither.
stellarik [79]

Answer:


Step-by-step explanation:

1. Supplementary

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3. neither

4. These two are vertically opposite so neither.

5. Supplementary

6. They add to 90 so they are complementary

7. They add to 180 so they are supplementary.

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8 0
3 years ago
if an exterior angle of a regular polygon measures 15 degrees how many sides does it have ?a.23. b.24. c.25
dimaraw [331]

Answer:

B.24

Step-by-step explanation:

we know,

exterior angle  = 360°/n(where 'n' is number of sides)

then,

15° = 360°/n

n = 360°/15°

n = 24



3 0
3 years ago
Dominic considers buying 2 points on a 25-year, fixed rate mortgage for $187,600. His interest rate will be 5.45% if he does not
algol [13]

Answer:

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Step-by-step explanation:

Here is what the question is asking.  If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment.  The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment.  The monthly payment at 5.45% is  $1,146.43,  the monthly payment for 5.2% is  $1,118.66.  This is a difference of  $27.77 per month.  The 2 points will cost him  $3,752.00.  The question is asking how long will it take Dominic to re-coup his  $3,752.00 if he saves $27.77 per month.  Just divide the 2 numbers and you get  135.10 months.  If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.

3 0
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Y is directly proportional to X
Zarrin [17]

y = kx

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3 0
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