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aleksandr82 [10.1K]
3 years ago
7

Outside a home, there is a 10-key keypad with the letters A, B, C, D, E, F, G, H, I, and J that can be used to open the garage i

f the correct ten-letter code is entered. Each key may only be used once. How many codes are possible? The number of possible codes is:_____
Mathematics
1 answer:
Assoli18 [71]3 years ago
4 0

Answer:

3,628,800 (aka "10!")

Step-by-step explanation:

The first letter in the code can be 10 possible letters.

Since every letter can only be used once, the second letter can only be 9 possible letters.

E.G.: If the first letter is A, the second letter is B-J.

The third letter would be 8 possible letters, than the fourth would be 7, etc.

In math form, figuring out the possible combinations would be written out as so:

10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

An easier way to write this out would be using "10!", which stands for "10 Factorial"

The result of the above equals 3,628,800.

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NEED HELP ASAPPP!!!! Get brainlist!
tangare [24]

Answer:

394.9 cm

Step-by-step explanation:

The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).

r = radius

h = height

The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.

Plug in the values.

a(unknown)^2 + 6^2 = 15^2

A + 36 = 255

255 - 36 = 189

√189 ≈ 13.7

Surface area formula, plug in the values.

A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )

*PEMDAS*

A = 3.14 × 6 ( 6 + √36 + 187.69 )

A = 3.14 × 6 ( 6 + √223.69 )

A = 3.14 × 6 ( 6 + 14.95 )

A = 3.14 × 6 ( 20.96 )

A = 3.14 × 125.76

A = 394.8864

*round to nearest tenth*

A = 394.9 cm

Hope this helps! :)

8 0
3 years ago
Which equation represents the same proportional relationship as the graph? On a coordinate plane, a line goes through points (0,
Misha Larkins [42]

Answer:

im sorry im not sure if its corrrect but its the first one believe which is y=3/5x

Step-by-step explanation:

dont come for me if im wrong

6 0
3 years ago
Read 2 more answers
Is 0.33333333333333333333333333333333333333.............. a rational number?
fenix001 [56]
I don't think it is. I may be wrong though
6 0
2 years ago
The cost of a bag of 8 peaches is $16. You could also buy individual peaches for
Veronika [31]

Answer: The peaches sold in bags

Step-by-step explanation:

16/8=2 This means that a single peach in the bag of peaches is worth $2. This is $0.15 cheaper than buying a single peach

The unit rte for a single peach is $2.15

The unit rate for a single peach in the bag of peaches is $2

5 0
3 years ago
Both the ranges and the interquartile ranges for the data sets are the same.
aleksley [76]

Answer:

to find range of interquartile sets of data

you see 5 vertical lines 1 is start point 2 is start of 2nd quartile 3 is start of 3rd quartile and also represents the median.  the 4th start of 4th quartile and 5th is very end point.

Therefore the interquartile is from start line 2 to start line 4

apply to each by if it says 10 and 34 then we show workjings 34-10 = 24 and that is the range once we deduct data from each other.

Therefore full range is start line 1 to end line 5

if this says 2 to 45 then full range is 45-2 = 43 and apply to each boxplot.

Step-by-step explanation:

6 0
2 years ago
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