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3 years ago

What is the measure of one exterior angle of this polygon?

Mathematics

1 answer:

DiKsa [7]3 years ago

6 0

answer:

36°

step by step explaination:

The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°

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PLEASE HELP ME BABES!!

qaws [65]

Two miles every 5 minutes.

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4 0

4 years ago

Read 2 more answers

Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

3 years ago

Suppose 40% of all college students have a computer at home and a sample of 64 is taken. What is the probability that more than

Art [367]

Answer:

0.13093

Step-by-step explanation:

Give. That :

Population mean = 40% = 0.4

Sample size (n) = 64

Probability that more than 30 have computer at home

Mean = np = 64 * 0.4 = 25.6

Standard deviation = sqrt(n*p*(1-p)) = 3.919

P(x > 30)

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (30 - 25.6) / 3.919 = 1.1227353

p(Z < 1.122) = 0.13093 ( Z probability calculator)

6 0

3 years ago

Find the compound amount on an investment of $8,500 at 7.5% compounded daily for 3.5 years.

Leto [7]

Answer:

Accrued Amount: 10955.51, Total Interest: 2455.51

Step-by-step explanation:

A = P(1+r/n)nt

CI = A-P

Where,

CI = Compounded interest

A = Final amount

P = Principal

t = Time period in years

n = Number of compounding periods per year

r = Interest rate

7 0

3 years ago

I have no idea how to solve this

zhuklara [117]

Answer: 8

Step-by-step explanation:

it's a rectangle, both the longer sides are the same and both the shorter sides are the same. so the opposite side has to equal 6, to get there we need to solve the equation, I did a few and ended up finding the correct answer to be 8. Since:

2*8-10=6

Therefore, both sides are now equal.

Ps- If you wouldn't mind, could you please help me out by marking Brainliest? I hate to ask but I only need one more before I rank up, and I'm so close!!

5 0

3 years ago