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Anna71 [15]
3 years ago
11

How many different sequences of 4 digits are possible if the first digit must be 3 4 5?

Mathematics
1 answer:
sergeinik [125]3 years ago
4 0
3*10*10*10=3000

..................
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In right trapezoid MNPQ
Gala2k [10]

Answer:

  about 252.78 ft

Step-by-step explanation:

Define angle QMP as α. Then ...

  MN = 60·sin(α)

  NP = 60·cos(α)

  area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)

__

  PQ = 60tan(α)

  area MPQ = (1/2)(MP)(PQ) = 1800tan(α)

__

The ratio of areas is 2.5, so we have ...

  1800tan(α) = 2.5·1800sin(α)cos(α)

  1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)

  cos(α) = √0.4 . . . . . . solve for cos(α)

__

Then the perimeter is ...

  Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)

  = 60(sin(α) +cos(α) +tan(α) +sec(α))

  = 60(0.774597 +0.632456 +1.224745 +1.581139)

  = 60(4.212936) = 252.776

The perimeter of the trapezoid is about 252.776 feet.

_____

With perhaps a little more trouble, you can find the exact value to be ...

  perimeter = (6√10)(7+√6+√15)

3 0
3 years ago
Amanda surveyed 13 students in her class about their heights in inches. Her data are listed below: 58, 59, 55, 52, 57, 59, 62, 5
Aleonysh [2.5K]

Answer:

IQR is 4, median is 58.

Step-by-step explanation:

Enter these values in a list, hit stat > calc > 1-var stats. That gives you the 5 number summary. To get IQR, subtract Q3 from Q1.

3 0
3 years ago
Read 2 more answers
. Simplify: (-4a+ b–2c) –(3a+ 2b–c)
Naily [24]

Answer:

(-4a + b – 2c) – (3a + 2b –c)  

-4a+b-2c-3a-2b+c  

-7a-b-c

Step-by-step explanation:

4 0
3 years ago
Which of the following ordered pairs are a solution for the equation y = 6x − 3?
storchak [24]

Answer:

-1,9

Step-by-step explanation:

I got them wrong so it showed me the right answer

5 0
3 years ago
savannah is painting a striped background for a mural on a wall that is 15 yards long. she wants a total of 96 stripes that’s ar
adell [148]
In this item, we are tasked to determine the calculation that can be done in order to determine the length or width of the painted mural in each striped area. This can be done by dividing the total length by the number of stripes as shown in the equation below.

   Length per stripe = Total length / number of stripes
    Length per stripe = 15 yards / 96 stripes
                           = 0.15625 yard/stripe
8 0
4 years ago
Read 2 more answers
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