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2 years ago

Using all or some of the digits 2, 3, 4 and 5, Edward writes

Mathematics

1 answer:

Vesnalui [34]2 years ago

5 0

Using the arrangements formula, considering the given digits, it is found that Edward writes 6 numbers.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of n, that is:

$A_n = n!$

In this problem, the first digit has to be 5, while the other three are arranged, hence the total number of arrangements is given by:

$A_3 = 3! = 6$

More can be learned about the arrangements formula at brainly.com/question/25925367

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Find the number that belongs in the green box.<br><br>Round your answer to the nearest tenth

Umnica [9.8K]

Answer:

134.5 degree

Step-by-step explanation:

first find the remaining side of a triangle

BY using cosine rule

C^2=A^2+B^2-2ABcosx

apply square root both sides

√c^2 =√[4^2+10^2-2(4)(10)cos29]

C=√(116-69.96958)

C=√46.03

C=6.8

Now find angle using cosine rule

C^2=A^2+B^2-2ABcosx

10^2=4^2+6.78^2-2(4)(6.78)cosx

100=16+45.9684-54.24cosx

100=61.9684-54.24cosx

100-61.9684=-54.24cosx

(38.0316)/-54.24=(-54.4cosx)/-54.24

-0.70117=cosx

X= cos inverse of -0.70117

x=134.5 degree

5 0

3 years ago

Read 2 more answers

The quantity demanded x for a certain brand of MP3 players is 100 units when the unit price p is set at $80. The quantity demand

Cerrena [4.2K]

Answer:p = (2100 - x)/25

Step-by-step explanation:

According to the law of demand, when the price,p of the brand of MP3 players is is high, the quantity,x of the brand of MP3 players demanded would be low and when the price,p of the brand of MP3 players is is low, the quantity,x of the brand of MP3 players demanded would be high.

To derive the demand equation, we would apply the slope intercept form of equation which is expressed as

y = mx + c

Where

m = slope

c = intercept

The slope, m would be

(y2 - y1)/(x2 - x1)

Slope = (1100 - 100)/(40 - 80) = 1000/-40

Slope = - 25

To find the y intercept, we would substitute m = - 25, y = 1100 and x = 40 into y = mx + c. It becomes

1100 = - 25 × 40 + c

1100 = - 1000 + c