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Scrat [10]
3 years ago
10

Sample space for the order in which 4 blocks A B C D can be lined up

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0
The for letters can be ordered in 4! ways
That is 4*3*2*1 = 24 

ABCD
ABDC
ACBD
ACDB   etc....
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What values for theta (0 less than or equal to theta less than equal to 2pi) satisfy the equation?
Novosadov [1.4K]
Solve this as you would an equation that does not involve trig.  Don't let the trig scare you.  If you had to solve 2x+8=0, the first thing you would do is factor out the common 2.  In our equation, we have a common cos theta.  I'm going to use beta as my angle.  When we factor out beta, here's what we have. cos \beta (2sin \beta +1)=0.  The Zero Product Property tells us that at least one of those factors has to equal zero.  So we set them both equal to zero and solve.  Let's get the equations first, then we will need our unit circle.  First equation set to equal zero is cos \beta =0.  On our unit circle, cos is the value inside the parenthesis that is in the x position within our coordinate.  Look at all those coordinates as you go around the unit circle once (once around is equivalent to 2pi).  You will find that the the cos is 0 at \frac{ \pi }{2}, \frac{3 \pi }{2}.  The next equation is 2sin\beta +1=0.  Move the 1 over by subtraction and divide by 2 to get sin \beta =- \frac{1}{2}.  Same as before, go around the unit circle one time and look to see where the coordinate in the y place is -1/2.  Sin corresponds to the y coordinate.  You will find that sin is -1/2 at \frac{7 \pi }{6}, \frac{11 \pi }{6}.  And there you go!  Trig is so much fun!!!
7 0
3 years ago
If b is the midpoint of ac and if c is the midpoint of bd, then what percent of cd is ac
Sergeu [11.5K]

Answer:

ac is 200% of cd

Step-by-step explanation:

To answer this question, we shall be making a visual representation.

Let’s take it one at a time.

Given;

b is the midpoint of ac

a b c

What this means is that a-b represents 50%, while bc represents another 50%

okay, we move on:

c is the midpoint of bd

b c d

What this means is that bc is 50%, while cd is another 50%.

So let’s combine the representations;

a 50% b 50% c 50% d

Now what does the question says again?

What percent of cd is ac?

From a to c, we can see two 50% which means 100%

while cd is just the regular 50%

So we can see that ac is actually twice cd

What we are saying here is , if cd is x, then ac is 2x

So we can restructure our question to mean, what percent of x is 2x?

That is simply 2x/x * 100 and that is 200%

7 0
3 years ago
Read 2 more answers
What is the surface area of the right rectangular prism?<br>center your answer in the box.
Firlakuza [10]
I believe the answer is 22 in^2
3 0
3 years ago
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Josiah bought 22 chicken wings for $26.40. How much would it cost for 9 wings?
cricket20 [7]

Answer:

it would cost $10.8 for 9 chicken wings.

Step-by-step explanation:

Cost of 22 chicken wings = $26.40

we have to find first, cost of 1 chicken wings

For that we divide both side by 22

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Thus, cost of 1 chicken wings = $1.2

to fins cost of 9 chicken wings

we multiply both sides by 9

cost of 1*9 chicken wings = $1.2*9

cost of 9 chicken wings = $10.8

Thus, it would cost $10.8 for 9 chicken wings.

7 0
3 years ago
How many solutions does 2(3x -4) = 3x -8+3x
never [62]

Answer:

no solutions

Step-by-step explanation:

6 0
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