What statement about the angles measures is true ( PLS HELP ME)

The sum of two numbers is greater than either number ?

KonstantinChe [14]

N+n<8

is that what you are looking for?

4 0

3 years ago

If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy

Free_Kalibri [48]

Answer:

See Explanation

Step-by-step explanation:

$log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved$

7 0

3 years ago

Read 2 more answers

If the area of a circle is 1256 sq ft what is the radius

Inessa [10]

Radius would be 19.9151730644

8 0

3 years ago

The number 72 is between what two perfect squares? Enter a numerical answer only.

jasenka [17]

Well a perfect square looks like this:

6 x 6
2 x 2

So the number 72 is between the PRODUCT of two perfect squares such as those.

One product has to be above 72, and the other below it.

So lets multiply.

8 x 8 = 64
9 x 9 = 81

Oh look at that, 72 is between 64 and 81.

7 0

3 years ago

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A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the

Ne4ueva [31]

The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in $p \times q$ ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

The password needs to be 4 characters long
It must have 3 letters and 1 of 10 special characters.
Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

$26 \times 26 \times 26 \times 10 = 175760$ ways.

Now, the password may look like one of those:

L, L, L, S
L, L, S, L
L, S, L, L
S, L, L, L

where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

$175760 \times 4 = 703040$

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

5 0

2 years ago