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3 years ago

13

URGENT!!!! You must create a 6-character password using the letters A-Z and the numbers 0-9. Characters may be repeated. How man

y possible passwords are there?

1 answer:

Sedbober [7]3 years ago

6 0

2,176,782,336
hope this helps

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Among all right triangles whose hypotenuse has a length of 12 cm, what is the largest possible perimeter?

Veronika [31]

Answer:

Largest perimeter of the triangle =

$P(6\sqrt{2}) = 6\sqrt{2} + \sqrt{144-72} + 12 = 12\sqrt{2} + 12 = 12(\sqrt2 + 1)$

Step-by-step explanation:

We are given the following information in the question:

Right triangles whose hypotenuse has a length of 12 cm.

Let x and y be the other two sides of the triangle.

Then, by Pythagoras theorem:

$x^2 + y^2 = (12)^2 = 144\\y^2 = 144-x^2\\y = \sqrt{144-x^2}$

Perimeter of Triangle = Side 1 + Side 2 + Hypotenuse.

$P(x) = x + \sqrt{144-x^2} + 12$

where P(x) is a function of the perimeter of the triangle.

First, we differentiate P(x) with respect to x, to get,

$\frac{d(P(x))}{dx} = \frac{d(x + \sqrt{144-x^2} + 12)}{dx} = 1-\displaystyle\frac{x}{\sqrt{144-x^2}}$

Equating the first derivative to zero, we get,

$\frac{dP(x))}{dx} = 0\\\\1-\displaystyle\frac{x}{\sqrt{144-x^2}} = 0$

Solving, we get,

$1-\displaystyle\frac{x}{\sqrt{144-x^2}} = 0\\\\x = \sqrt{144-x^2}}\\\\x^2 = 144-x^2\\\\x = \sqrt{72} = 6\sqrt{2}$

Again differentiation P(x), with respect to x, using the quotient rule of differentiation.

$\frac{d^2(P(x))}{dx^2} = \displaystyle\frac{-(144-x^2)^{\frac{3}{2}}-x^2}{(144-x)^{\frac{3}{2}}}$

At x = $6\sqrt{2}$ ,

$\frac{d^2(V(x))}{dx^2} < 0$

Then, by double derivative test, the maxima occurs at x = $6\sqrt{2}$

Thus, maxima occurs at x = $6\sqrt{2}$ for P(x).

Thus, largest perimeter of the triangle =

$P(6\sqrt{2}) = 6\sqrt{2} + \sqrt{144-72} + 12 = 12\sqrt{2} + 12 = 12(\sqrt2 + 1)$

7 0

3 years ago

Please only answer odds for example 1. 3. 5. 7. 9. 11. 13. 15. 17. please don't put ubsurd answers or fake pdf is the pdf is rea

KatRina [158]

Step-by-step explanation:

Hey There!

Your answer

$\huge\sf \color{red}{set \: a}$

1. 1 1/2 - closest to 1

2. 11/24 - closest to 1/2

3. 3/16 - closest to 0

4. 11/24 - closest to 1/2

5. 8/15 - closest to 1/2

6. 49/60 - closest to 1

7.1 1/10 - closest to 1

8. 31/60 - closest to 1/2

$\huge\sf \color{red}{set \: b}$

1. Common denominator = 10

2. Common demoninator = 18

3. Common denominator = 28

5 0

3 years ago

A triangle with an area of 202.5 has a height that measures 15 find its base

Papessa [141]

The area = 1/2 * base * height

202.5 = 1/2 * base * 15

measure of the base = 202.5 / (1/2 * 15)

= 27 answer

8 0

3 years ago

Help me! Im having trouble if you can please answer and give an explanation! The best one will get brainlist!

jasenka [17]

For the second work sheet:
5 2/8 - 4 1/4= 1 so NO
8 3/4 - 7 1/2= 1 1/4 so YES
2 1/8 - 1 7/8= 1/4 so NO
9 5/12 - 8 1/6= 1 1/4 so YES
Sorry if its not enough explanation, hope it helps!

8 0

2 years ago

Can you help me with both don’t know if second one is right

erma4kov [3.2K]

Answer:

1. $67.72

2. It's correct.

Step-by-step explanation:

1.

bill: $68.89

discount: $10

tip: 15%

Calculate the total with the discount.

68.89-10=58.89

Now calculate 15% of that.

Convert 15% to decimal by dividing by 100

$\frac{15}{100}=0.15$

Multiply

$0.15(58.89)=8.83$

Add this to the original amount.

$58.89+8.83=67.72$

----------------------------------------------------------------------------

Calculate 20% of 148.25

Convert 20% to decimals by dividing by 100

$\frac{20}{100}=0.20$

Multiply

$0.20(148.25)=29.65$ This is how much they will tip.

Add this to the original bill;

$148.25+29.65=177.90$

7 0

3 years ago