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andrew-mc [135]
2 years ago
13

Please help me asap thank you so so so much u are the most amazing

Mathematics
1 answer:
bixtya [17]2 years ago
5 0

The smallest angle would be 19 degrees. So option D is correct.

<h3>What is the sum of the octagon?</h3>

The sum of exterior angles of the regular octagon is 360 degrees.

Given;

The angles

x + 13 + 2x - 1 + 2x + 6 + 2x + 12 + 2x - 17 + 3x - 4 + 3x - 10 + 4x = 360

19x - 1 = 360

19x = 359

x = 18.89

The smallest angle would be

2x - 17 = 2(18.89) - 17 = 19

Learn more about angles;

brainly.com/question/13954458

#SPJ1

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Explain why x and 4x - 10 are factors of the expression x(4x - 10)3 rather than terms of the expression. What are the terms of t
andriy [413]

Solution :-  Let p(x) be the polynomial  such that

p(x) = x(4x-10)^3\\\text{and let f(x) be another polynomial such that }\\f(x)=4x-10\\\text{To find , Put } f(x)=0\\\Rightarrow4x-10=0\\\Rightarrow4x=10\\\Rightarrow x=5/2\\\text{Now substituting value of x in p(x),we get}\\p(x)=\frac{5}{2} .(4(5/2)-10)^3\\\Rightarrow\frac{5}{2}.(10-10)^3=0\\\text{Similarly let g(x)=x ,we get x=0 by putting g(x)=0}\\\text{now f(x)=0 for x=0}\\\text{So by Factor theorem f(x) and g(x) are the factors of polynomial p(x)}\\

\text{Now} p(x) = x(4x-10)^3\\=64x^4-480x^3+1200x^2-1000x\\\text{so the terms of terms of } p(x) \text{are} 64x^4,-480x^3,1200x^2,-1000x\\\text{here, by using Factor theorem x is a factor of all the terms but 4x-10 is not. }

\text{And the terms of the factor 4x-10 are 4x and -10}

3 0
3 years ago
At 1 p.M., the number of bacteria in a petri dish is 54. It is estimated that the population of bacteria will increase by 6% eac
Zinaida [17]

Answer: y = 54(1.06)^t

Step-by-step explanation:

It is estimated that the population of bacteria will increase by 6% each hour. This is an exponential growth. The formula for determining exponential growth is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 54

r = 6% = 6/100 = 0.06

Therefore, the formula for the population of bacteria is

y = 54(1 + 0.06)^t

y = 54(1.06)^t

6 0
3 years ago
What is -5/6 ÷ 9 /10 ?
vredina [299]
D: -25/27
-5/6  ÷  9/10  =  5/6  x   10/9   *when diving fractions, use recipricals.*
-5/6  ÷  10/9  =  - 25/27  *just multiply each numerator and denominator*
8 0
3 years ago
Q2 direct and indirect
alekssr [168]

Answer:

i dont understand sorry

4 0
2 years ago
What are the solutions to x^2-5x+3=0?
Viktor [21]

Answer:

Step-by-step explanation:

You need to use the quadratic equation

x =  \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

Givens

  • a = 1
  • b = - 5
  • c = 3

x = \frac{5 +/- \sqrt{5^2 - 4a*1*3} }{2} \\

x =( 5 +/- sqrt(25 - 12) ) / 2

x = (5 +/- sqrt(13) )/2

x = (5 + sqrt(13) / 2

x = 4.303  rounded

x = (5 - sqrt(13) ) /2

x = .6972

4 0
3 years ago
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