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2 years ago

Will give brainliest answer please help !!!!

Mathematics

1 answer:

lutik1710 [3]2 years ago

8 0

Answer:

The center is $(5,6)$ and the radius is $4$ .

Step-by-step explanation:

The Equation of a circle:

$(x - h ) ^2 + ( y - k)^2 - r^2$ (where the center is known as $(h,k)$ and the radius is known as $r$ ).

-So, according to the following equation of a circle, the center would be $(5,6)$ and to find the radius, you need to square the simplified radius by $2$ in order to get the radius of the circle:

Following equation of a circle:

$(x-5)^2 + ( y-6)^2 = 16$

Center: $(5,6)$ Radius: $\sqrt{16} = 4$

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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

2 years ago

A airplane traveled 120 km in 240 minutes. What is the average speed of the airplane? a. 40 b. 10 C. 30 d. 60

Solnce55 [7]

Answer:

Step-by-step explanation:

240m= 4h

120km

V= 120/4 = 30 km/h

I hope this helps, have a good day

4 0

2 years ago

A farmer wants to construct a rectangular pigpen so only 3 sides of the pen will need to be fenced. If the farmer has 400 ft of

Fofino [41]

Answer:

The answer is " $\bold{100\ ft \times 200\ ft}$ "

Step-by-step explanation:

A = area of the pigpen

x = its perpendicular length of the sides of the stone wall

Maximize function:

$\to A = x (400-2x)\\\\Where\ \ 0$

So, the size of pigpen is = 100 ft by 200 ft that is (perpendicular and parallel to wall), that's why the answer is " $\bold{100\ ft \times 200\ ft}$ "

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2 years ago

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olasank [31]

The answer for t is 4 and the proportional relationship is 9

6 0

2 years ago

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Determine if the two triangles are congruent. If they are, state how you know.

mr Goodwill [35]

Answer:

B) SAS

Step-by-step explanation:

The angles between the two known equal sides are called a vertical angle and are equal. Thus you know Side-Angle-Side proves congruency.

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2 years ago