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True [87]
3 years ago
8

A key code must contain 6 numerals. There are 10 numerals available. Using these numerals, how many different key codes maybe cr

eated?
A. 340
B. 210
C. 3,480
D. 151,200
Mathematics
1 answer:
shutvik [7]3 years ago
7 0
10/(10-6)=10/4.
(10*9*8*7*6*5*4*3*2*1)/(4*3*2*1)
Numbers that are in the numerator and denominator are cancelled out
10*9*8*7*6*5=151200 codes
* means multiply if you didn't know
The correct answer is D

Hope this helped :)
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My answer is 12 because I subtract 36 from 24 and got 12
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3 years ago
If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
The common hamster has 20 chromosomes. How many different types of hamster offsprings could form
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Answer: How many different types of hamster offspring's could form

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Step-by-step explanation:

I really hope this helps

7 0
3 years ago
Louis has a rectangular piece of property with an area of 1/3 fourth square miles the length of the property is 2 1/3 miles what
riadik2000 [5.3K]

Answer: b

Step-by-step explanation:

3 0
3 years ago
Please help me find the area of each shaded segment and round the answer to the nearest tenth :)
Keith_Richards [23]
Hi there!

In order to solve, we need to use the formula for the area of a circle, and the angle given to find the area of the sector. Then, subtract the area of the triangle to find the area of the segment. We would use the equation : A = x/360 (pi * r^2) - 1/2(b * h). We need to plug in 90 for the angle measurement, 8 for the radius, and 8 for both the base and height. 

WORK:
A = 90/360 (pi * 64) - 1/2(64)
A = 1/4(64pi) - 32
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Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

3 0
4 years ago
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