8.6.AP-5
Question Help
o
Writing The diameter of Circle J is 18 cm. The diameter of Circle K is 31 cm. Which circle has the
greater area and by how much? Use 3.14 for . Use pencil and paper. Describe two ways you can
compare the areas of two circles. Explain when you might prefer to use each
Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest whole number as needed.)
A. The area of Circle K is about cm2 greater than the ea of Circle J.
OB. The area of Circle J is about greater than the area of Circle K.
cm2

Answer:

-8, -14, -20, -26, -32, -38

Step-by-step explanation:

if we do this equation:

14 - 8 = 6

20 - 14 = 6

26 - 20 = 6  and you will do this until you get the answer you want.

so the arithmatic squence is -8, -14, -20, -26, -32, -38

Answer:

13

Step-by-step explanation:

3v - w + x

Let w = 6, v =5, and x=4

3 * 5 - 6 + 4

15 - 6+4

9 +4

13

Answer:

The answer is C!

Step-by-step explanation:

Answer:

Have a greattt day;)

Step-by-step explanation:

Answer:

3:8

Step-by-step explanation:

first add up all the crayons

4+1+5+6

16

there are 6 green crayons so the ratio is

6:16

reduce by factor of 2

3:8

option D is correct one 2 3/16

-1 1/4 ÷ 4/7

-5/4 ÷ 4/7

-5/4 × 7/4 (reciprocal)

35/16= 2 3/16

Answer:

16

Step-by-step explanation:

16 is an even number not 27 35 49

Answer:

[tex]16 \: \: \: \: \: ofcourse[/tex]

Answer:

third option

Step-by-step explanation:

y = 1/2 x

9514 1404 393

Answer:

  1040 cm²

Step-by-step explanation:

The lateral surface area of the pyramid is the area of the four triangular faces. Each one has an area of ...

  A = 1/2bh

  A = 1/2(20 cm)(26 cm) = 260 cm²

Then the area of the four faces is ...

  4 × 260 cm² = 1040 cm² . . . . lateral surface area

Answer:

20

Step-by-step explanation:

4÷1/5=20

5+5+5+5=20

Answer:

Range: 5

mode: 19

median: 19

Step-by-step explanation:

Answer:

4) 22-17=5

5) 19

6) 19

7) 11-1=10

8) 6

Answer:

130

Step-by-step explanation:

10+10+5+5=30

50+50=100

30+100=130

Answer:

18 is the correct answer to this

Step-by-step explanation:

18/9=2

Answer:

Step-by-step explanation:

P(-2,-1) and Q(4,3)

average of x-coordinates = (-2+4)/2 = 1

average of y-coordinates = (-1+3)/2 = 1

midpoint of PQ: (1,1)

distance between midpoint and Q = √((4-1)²+(3-1)²) = √13

(x-1)² + (y-1)² = 13

The equation of the circle is [tex](x - 1)^{2} + (y - 1)^{2} = \frac{52}{4}[/tex]

A circle is a shape consisting of all points in a plane that are at a given distance from a given point (the Centre) Equivalently .

Equation of circle

The equation of circle provides an algebraic way to describe a circle, given the center and the length of the radius of a circle.

The equation of circle represents all the points that lie on the circumference of the circle .

The standard equation of a circle with center at [tex](h , k )[/tex] and radius r is

  [tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]

The distance formula in coordinate geometry is used to calculate the distance between two given points.

The formula says the distance between two points ([tex]x_{1} ,y_{1}[/tex]), and ([tex]x_{2} , y_{2}[/tex])

[tex]Distance(D) = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]

The Midpoint Formula:

The midpoint of two ends coordinates points,  ([tex]x_{1} ,y_{1}[/tex]), and ([tex]x_{2} , y_{2}[/tex]) is the point M can be found by using:

[tex]M = \frac{x_{1} + x_{2}}{2}, \ \ \frac{y_{1} + y_{2}}{2}[/tex]

According to the question

P = (-2,-1) and Q = (4,3) are the

endpoints of the diameter of a circle

Therefore, distance between point P and Q which is diameter of circle is

 [tex]Distance(D) = \sqrt{(x_{2} - x_{1} )^{2} + (y_{2} - y_{1} )^{2} }[/tex]

P(-2,-1) =  ([tex]x_{1} ,y_{1}[/tex])

Q (4,3) =  ([tex]x_{2} , y_{2}[/tex])

Now,

Diameter of circle = [tex]\sqrt{(4 - (-2) )^{2} + (3 - (-1) )^{2} }[/tex]

                             = [tex]\sqrt{(6 )^{2} + (4 )^{2} }[/tex]

                             = [tex]\sqrt{(36 + 16) }[/tex]

                             = [tex]\sqrt{52}[/tex]

As , radius  =  [tex]\frac{diameter }{2}[/tex]

       radius (r) =  [tex]\frac{\sqrt{52}}{2}[/tex]          

As we know The center of the circle separates the diameter into two equal segments called radii and radii are equal in a circle .

i.e mid point of coordinates of diameter are coordinates of circle .

[tex]M = \frac{x_{1} + x_{2}}{2}, \ \ \frac{y_{1} + y_{2}}{2}[/tex]

[tex]Centre of circle (h,k) = \frac{x_{1} + x_{2}}{2}, \ \ \frac{y_{1} + y_{2}}{2}[/tex]

[tex]h = \frac{x_{1} + x_{2}}{2}, \ \ k = \frac{y_{1} + y_{2}}{2}[/tex]

[tex]h = \frac{ -2 + 4}{2}, \ \ k = \frac{-1 + 3}{2}[/tex]

[tex]h = 1, \ \ k = 1[/tex]

Now , substitute the value in the equation of circle

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]

[tex](x - 1)^{2} + (y - 1)^{2} = \frac{52}{4}[/tex]

Hence, the equation of the circle is [tex](x - 1)^{2} + (y - 1)^{2} = \frac{52}{4}[/tex]

To  know more about equation of circle here:

https://brainly.com/question/23988015

#SPJ2

Answer:

132 ft²

Step-by-step explanation:

Rectangle area = 8(12) = 96

Triangle area = 1/2(8)(21-12) = 4(9) = 36

Area total = 96 + 36 = 132

Answer:

The year in which there are 30 m² of agricultural land available for each inhabitant is approximately 438.286 years

Step-by-step explanation:

The growth rate of the planet Magrathea = Double every 40 years

The start population of Magrathea = 20 million

The area of the Magrathea = 200 million km²

The area that can hose 200 Magratheans = 1 km²

The land used for agriculture = The land not used for housing

The equation for a population that doubles every 20 years is given as follows;

[tex]y = a \cdot b^t[/tex]

[tex]y = a \cdot (1 + r)^{t}[/tex]

We have;

[tex]2 = (1 + r)^{40}[/tex]

㏑2 = 40·㏑(1 + r)

㏑(1 + r) = ㏑(2)/40

1 + r = ㏑(2)/40

1 + r = e^(㏑(2)/40)

r = 1 - e^(㏑(2)/40) = 0.0174796921

30 m²

200·x

The area per individual = (1/200) km²

The total number  

We have;

(x/200) km²) + (x × 0.00003 km²) = 200,000,000 km²

x × ((1/200) km² + 0.00003 km²) = 200,000,000 km²

x = 200,000,000 km²/(((1/200) km² + 0.00003 km²)) = 3.97614314 × 10¹⁰

The population at the time = 3.97614314 × 10¹⁰

We have;

3.97614314 × 10¹⁰/(2×10⁷) = [tex]e^{(ln(2)/40)}^{t}[/tex]

t = ㏑((3.97614314 × 10¹⁰/(2×10⁷)))/(㏑[tex]e^{(ln(2)/40)}[/tex])) ≈ 438.286 years

The year in which there are 30 m² of agricultural land available for each inhabitant ≈ 438.286 years

The equation for [tex]30\,\frac{m^{2}}{hab}[/tex] is [tex]30\times 10^{-6} = \frac{10}{2^{\frac{t}{40} }}-\frac{1}{200}[/tex], whose solution is [tex]t \approx 438.28\,yr[/tex].

Dimensionally speaking, the given available area per capita for agricultural use ([tex]r[/tex]), in square kilometers per habitant, is defined by the following formula:

[tex]r = \frac{A_{T}-A_{p}}{n}[/tex] (1)

Where:

The populated area is defined by this formula:

[tex]A_{p} = m\cdot n[/tex] (2)

Where [tex]m[/tex] is the populated area per capita, in square kilometers per habitant.

By (2) in (1):

[tex]r = \frac{A_{T}}{n}-m[/tex] (1b)

And the population as function of time can be modeled after this geometric progression:

[tex]n = p_{o}\cdot 2^{\frac{t}{\tau} }[/tex] (3)

Where:

By (3) in (1b):

[tex]r = \frac{A_{T}}{p_{o}\cdot 2^{\frac{t}{\tau} }} -m[/tex] (1c)

If we know that [tex]p_{o} = 20\times 10^{6}[/tex], [tex]\tau = 20\,yr[/tex], [tex]A_{T} = 200\times 10^{6}[/tex], [tex]m = \frac{1}{200}\,km^{2}[/tex] and [tex]r = 30\times 10^{-6}\,km^{2}[/tex], then the time is:

[tex]30\times 10^{-6}\,km^{2} = \frac{200\times 10^{6}\,km^{2}}{(20\times 10^{6})\cdot 2^{\frac{t}{40\,yr} }} - \frac{1}{200}\,km^{2}[/tex]

[tex]30\times 10^{-6} = \frac{10}{2^{\frac{t}{40} }}-\frac{1}{200}[/tex]

[tex](5.03\times 10^{-3})\cdot 2^{\frac{t}{40} } = 10[/tex]

[tex]2^{\frac{t}{40} } = 1988.072[/tex]

[tex]\frac{t}{40} \cdot \log_{2} 2 = \log_{2} 1988.072[/tex]

[tex]\frac{t}{40} \approx 10.957[/tex]

[tex]t \approx 438.28\,yr[/tex]

The equation for [tex]30\,\frac{m^{2}}{hab}[/tex] is [tex]30\times 10^{-6} = \frac{10}{2^{\frac{t}{40} }}-\frac{1}{200}[/tex], whose solution is [tex]t \approx 438.28\,yr[/tex]. [tex]\blacksquare[/tex]

To learn more on populations, we kindly invite to check this verified question: https://brainly.com/question/905400

Answer:

Step-by-step explanation:

0.0814 radian / second

Answer:

40

Step-by-step explanation:

Quadrilateral QRSU forms a euclidean kite this means PR would be 2(mST)

Answer:

45

Step-by-step explanation:

If you write it out it will look like this, 2x+45+x=180

3x+45=180

3x+45=180

    -45   -45

3x=135

/3   /3

x=45

Answer:

x=45

Step-by-step explanation:

Straight angles/lines are equal to 180 degrees. If you add the equations together to get 180 and simplify you'll find the answer. So, start out with the equation 2x+45+x=180.

1. Add like terms. 3x+45=180

2. Subtract 45 from both sides. 3x=135

3. Divide by 3 on both sides to get x by itself. x=45

4. Just to make sure, plug in 45 for x. 2(45)+45+45=180. Sure enough, it works!

Answer: 1/5

Step-by-step explanation:

Answer:

$52.50

Step-by-step explanation:

Item on sale: 42

Discount: 20%

1-.2=.8

Item on Sale=Original*.8

42=Original*.8

42/.8=

$52.50

Answer:

Your answer is 136

Step-by-step explanation:

I hope this helps

Answer:

3,900

Step-by-step explanation:

Answer:

2 terms

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

(5_3)^2+2(0)=4

substitute with the 5 to x and 0 to y

Answer:

We have 3n - 12 = 24 so 3n = 36 so n = 12

Hope this helps and brainliest please

Answer:

0.35 = 35% probability that a married couple watches the movie

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that a husband watches the movie, given that his wife does, is 0.7.

This means that [tex]P(B|A) = 0.7[/tex]

The probability that a wife watches the movie is 0.5.

This means that [tex]P(A) = 0.5[/tex]

What is the probability that a married couple watches the movie?

Both, so:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.7*0.5 = 0.35[/tex]

0.35 = 35% probability that a married couple watches the movie

Answer:

[tex]y = 4x - 47[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Parallel lines:

When two lines are parallel, they have the same slope.

8x-2y=7

Placing into the format, we have thtt:

[tex]2y = 8x - 7[/tex]

[tex]y = 4x - \frac{7}{2}[/tex]

Slope of 4.

This means that the desired line has the following equation:

[tex]y = 4x + b[/tex]

Point of (12,1)

This means that when [tex]x = 12, y = 1[/tex]

We use this to find b.

[tex]y = 4x + b[/tex]

[tex]1 = 48 + b[/tex]

[tex]b = -47[/tex]

So, the line has the equation:

[tex]y = 4x - 47[/tex]

Answer:

Bar graphs Line graphs

Step-by-step explanation: hope it helps

Answer:

Answer: 6

Step-by-step explanation:

|-2(0)-6|

-2 x 0 = 0

0-6=-6

|-6|=6

Answer:

6

Step-by-step explanation:

1. Insert 0 into the equation: h(x)=|-2(0)-6|

2. Multiply: h(x)=|-6|

3. Take away the absolute value sign: h(x)= 6

The absolute value should always be positive once you take it away, even if it was positive inside :)