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zheka24 [161]
3 years ago
13

The length of the sides of a triangle from a G.P. The length of the longest side exceeds that of the shortest side by 9cm. The p

erimeter of the triangle is 61cm. Find the length of each side.​

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0

Take sides as a, \: ar, \: ar^2

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Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat
Salsk061 [2.6K]

Answer: In June 2097

Step-by-step explanation:

According to the model, to find how many years t should take for  P(t)=21100 we must solve the equation  0.9t^2+6t+14000=21100. Substracting 21100 from both sides, this equation is equivalent to 0.9t^2+6t-7100=0.

Using the quadratic formula, the solutions are t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21 and t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54. The solution t_1=-92.21 can be neglected as the time t is a nonnegative number, therefore t=t_2=85.54.

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date  January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

6 0
3 years ago
An equiangular triangle has one angle of measure 2x+8. What is x?
lina2011 [118]

Answer:

x=26\\

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180^{\circ}. Therefore, an equiangular triangle will have each of its angles equal to 60^{\circ}}. We can then set up the following equation:

2x+8=60, \\2x=52, \\x=\fbox{$26$}.

3 0
3 years ago
Read 2 more answers
What is the opposite of the opposite of negative nine?​
pogonyaev

Answer:

-9 or negative 9

Step-by-step explanation:

The opposite of negative 9 is positive 9.

The opposite of <em>that</em> is negative 9.

8 0
3 years ago
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WILL MARK BRAINLEST <br> PLS SHOW STEP BY STEP
defon

Answer:

\frac{225}{30} or 7\frac{1}{2}

Step-by-step explanation:

\frac{25*9}{3*10} = \frac{225}{30}

hope this helped

sorry if im too late lol

8 0
3 years ago
Determine if the expression 9x^-2 is a polynomial or not. If it is a polynomial, state
Andrej [43]

Answer:

9x⁻²  is not a polynomial

Step-by-step explanation:

A polynomial function is a function that involves non-negative integer powers of x such as a quadratic, cubic etc.

A polynomial is a function written in the form of ;

f{x} =aₙxⁿ+aₙ₋₁xⁿ⁻¹+-------+a₂x²+a₁x+a₀

The degree of a polynomial is the highest power of x in the expression

9x⁻² ----in this case, the power is negative thus this is not a polynomial.

5 0
2 years ago
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