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Inessa [10]
3 years ago
10

A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes may be c

reated? A. 151,200 B. 340 C. 210 D. 3,480
Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
7 0
10\cdot 9\cdot 8\cdot 7\cdot 6\cdot 5=151,200
DedPeter [7]3 years ago
5 0

Answer: Option A, 151,200 possible combinations.

Explanation:

The code must contain 6 numbers, and there are a total of 10 numbers avaible. Here we must assume that the numbers must be different, because of the word "avaible" and the options avaible.

This means that for the first number, we have 10 options, for the second number, we have 9 options (because we already took 1), in the third number, we have 8 options, and so on.

The total number of combinations is equal to the product between the number of options for each number in the code.

10*9*8*7*6*5 = 151,200

Then the right option is A.

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Dec 4,
sasho [114]

Answer:

y = -0.8x - 5

Step-by-step explanation:

x1 = (XA + XB) / 2 = -5

y1 = (YA + YB) / 2 = -1

m = (XA - XB) / (YA - YB) = -0

__________________________________________

(y - -1) = -0.8(x - -5)

y - -1 = -0.8x - 4

y = -0.8x - 4 + -1

y = -0.8x - 5

8 0
3 years ago
The composite figure is made up of a rectangle and two pentagons. Find the
NARA [144]

<u>Given:</u>

A composite figure made up of a rectangle and two pentagons.

<u>To find:</u>

The area of the composite shape.

<u>Solution:</u>

If a pentagon has a side length of s and an apothem of a, the area of the pentagon is given by

A=\frac{5}{2} (a)(s).

In the given diagram, the pentagons have side lengths of 8 units and an apothem of 5.5 units.

The area of a pentagon = \frac{5}{2} (5.5)(8) = 110 sq units.

The area of 2 such pentagons = 2(110)= 220 square units.

The rectangle has a length of 14 units and a width of 8 units.

The area of a rectangle = (l)(w).

The area of the rectangle = (14)(8)=112 square units.

The area of the composite shape is the sum of the individual areas of the different shapes.

The area of the composite shape =220+112=332 sq units.

The area of the composite shape is option A. 332 sq units.

4 0
3 years ago
What is 20% decreased of 1.75
Fantom [35]

Answer:

1.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
PLEASE HELP
Ilya [14]
In y=mx+b, m= slope and b= y-intercept. All you have to do is substitute.

1)  y= \frac{3}{2} x-2

2) &#10;y=  \frac{-1}{2}x-1

3) y=-0.5x+2.5
3 0
3 years ago
Mentally determine the value of x that makes each equation true.<br><br> 2(x−1)=10
alexdok [17]

Answer:

Step-by-step explanation:

Divide both sides by 2

x - 1 = 5

Add 1 to both sides

x - 1 + 1 = 5 + 1

Combine

x = 6

8 0
3 years ago
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