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Cerrena [4.2K]
3 years ago
9

The sum of interior angles of a polygon with 5 sides in degrees

Mathematics
1 answer:
prisoha [69]3 years ago
4 0
The sum of interior angles of a polygon with five sides in degrees is equal to 540 degrees because (n-2)*180 is equal to this.
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Demonstrate two different ways to solve the equation 5^(2x+1) = 25.
Tanzania [10]

Answer:

Step-by-step explanation:

Method 1: Taking the log of both sides...

So take the log of both sides...

5^(2x + 1) = 25

log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...

(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...

(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...

(2x)log 5 + log 5 - log 5 = log 25 - log 5

(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)

(2x)log 5 = log 5 <-- divide both sides by log 5

(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..

2x = 1

x=1/2

Method 2

5^(2x+1)=5^2

2x+1=2

2x=1

x=1/2

3 0
3 years ago
I need help with #4 a-d
lesya [120]

a repeating decimal is placed over 9's instead of 0's.   for example: 0.23 = \frac{23}{100}, but 0.232323... = \frac{23}{99}

a) x = 0.121212

b) 100(x) = 100(0.121212)

    100x  = 12.1212

c)  100x = 12.1212

-  <u>        x =   0.1212</u>

     99x  =  12

         x  = \frac{12}{99}

d) -2\frac{12}{99}  <em>= -2\frac{4}{33} when simplified</em>

The number is rational becase it has a repeating decimal

6 0
3 years ago
It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor
max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}

\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}

\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0
3 years ago
Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)
Lady_Fox [76]

Answer:

x = 3

So,

PQ= 5

RS=6

Step-by-step explanation:

Hope it helps you.....

8 0
2 years ago
Jeremiah work 5 days a week.if he earned $225 a day, how much does he earn per day?
Naddika [18.5K]
Uh do you mean he earned $225 per week?
If yes, then he earned 45 per day.
7 0
3 years ago
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