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2 years ago

15

help me please, this is due tomorrow ( The circumference of a circle is 53.38 centimeters. What is the area in square centimeter

s? )

1 answer:

g100num [7]2 years ago

7 0

Step-by-step explanation:

C = 2πr = 53.38cm

r = C / 2π = 53.38cm / 2π = 53.38/ 6.283185307179586 = 8.4956cm

A = πr^2 = π × (8.4956cm^)2 = 226.4cm^2

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

7 0

3 years ago

Divide 36x^3-96x^2+48x by 12x

sergij07 [2.7K]

Answer:

3x^2 - 8x + 4.

Step-by-step explanation:

36x^3 - 96x^2 + 48x

Dividing by 12 term by term:

= 3x^2 - 8x + 4.

5 0

3 years ago

Read 2 more answers

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

lyudmila [28]

Answer:

5 hours

Step-by-step explanation:

A motorcycle will complete the 540 mile trip in 11.25 hours

And the car will complete it 2.25 hours less, i.e 11.25 -2,25 = 9 hours.

then,

Speed of the car:

60t + 48t = 540

108t = 540

If you Divide both sides by 108 we get t = 5

So, they will meet in 5 hours,

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3 years ago

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kolbaska11 [484]

Answer:

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Step-by-step explanation:

I think this is the correct answer.

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3 years ago

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3 years ago