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dexar [7]
3 years ago
13

A state's license plates consist of four letters followed by three numerals, and 242 letter arrangements are not allowed. How ma

ny plates can the state issue?
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer: There are 456975758 plates that the state can issue.

Step-by-step explanation:

Since we have given that

Number of letters = 4

Number of numerals = 3

And 242 letter arrangements are not allowed.

As we have 26 letters i.e A-Z

and numerals i.e, 0-9

So, the number of plates would be

(26^4)\times 10^3=456976000

So, the restricted letters deducting would be

456976000-242=456975758

Hence, there are 456975758 plates that the state can issue.

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Answer:

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Step-by-step explanation:

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2 years ago
Dean put together first boxes for 5 of his neighbors. Each box cost $1.00 and contained a plant and a $3.00 pair of gardening gl
Scorpion4ik [409]
(5 Neighbors) x (($1.00 Box) + (? Plant) + ($3.00 Gloves)) = 42.50

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Combine in parens.

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Distribute.

20 + 5x = 42.50

Subtract 20 from both sides.

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2 years ago
The angle 01 is located in Quadrant III, and cos(01) = -30/13
larisa [96]

Answer:

<h2>sin(01) = -32.70/13</h2>

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

hyp^{2}=opp^{2}+adj^{2}   \\opp^{2}=  hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

01 = cos^{-1}- 30/13

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15:40

Hope it helps!

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