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3 years ago

What is included between two congruent sides in an isoceles triangle

1 answer:

4 0

In an isosceles triangle that has exactly two equal sides, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

3 years ago

A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?

Molodets [167]

Hi there!

$\large\boxed{y = 2x + 6}$

For a system to have infinite solutions, the lines have to be the same. We can begin by rearranging the given equation into the format y = mx + b:

2y - 4x = 6

Move x to the opposite side:

2y = 4x + 6

Divide all terms by 2:

y = 2x + 6

The answer choice that matches this is the first one.

5 0

3 years ago

Quincy has saved $2500 so far to buy a new car in 4 years. He can put this amount into an account, that

devlian [24]

Answer:

he should chose compounded annually because he would have and extra 32.12 dollars at the end of the 4 years

Step-by-step explanation:

hope this helps

5 0

2 years ago

Please help , I would sincerely appreciate it

kozerog [31]

Answer:

B . S /2rh =pi

Step-by-step explanation:

S = 2* pi * r*h

We are solving for pi

Divide both sides by 2rh to isolate pi

S/ 2rh = 2 * pi *r* h / 2rh

S /2rh =pi

5 0

3 years ago

Which values are solutions to the inequality below ×<9

iragen [17]

Answer: theres not a picture soo idk

Step-by-step explanation:

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3 years ago