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2 years ago

Circle P is centered at the origin. Which of the following statements can be used to

Mathematics

1 answer:

a_sh-v [17]2 years ago

3 0

the correct option is:

"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."

<h3>Which of the following statements can be used to construct an algebraic proof the point A lies on circle P?</h3>

A circle is defined as the set of equidistant points to a given point which is the center of the circle.

That distance to the center is called the radius.

Here, the center is at the point (0, 0), also called the origin, so if the distance between the point A and the origin, then point A lies on top of the circle P.

From that, we conclude that the correct option is:

"The distance from the origin to point A is equal to the radius of circle P. Therefore, point A lies on circle P."

That is the only proof that we can (and should) use to prove that a point lies on a circle.

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

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A researcher decides to split scores on an exam into quartiles. She determines that a score of 64 is at the 25th percentile, a s

allochka39001 [22]

Answer:

Answer : A

Step-by-step explanation:

The given data is 25 th percentile is 64, 50th percentile is 74 and 75 th percentile is 80.

percentage : 25 50 75

score : 64 74 80

Median:- The median is obtained by first arranging the data in ascending or descending order and applying the following rule.

If the number of observations is odd, then the median is observation

$(\frac{n+1}{2}) ^{th}$ term

If the number of observations is even, then the median is observation and observations.

$(\frac{n}{2}+1) ^{th}$

given n=3, middle term is '74'

In this given data the median is (M) = 74

Interquartile range IQR = median of upper half-median of lower half

= 80-64

= 16

IQR = 16

8 0

3 years ago

Pleasee help me, I don’t get it

Aleks [24]

Answer:

x = 4 sqrt(5)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

8^2 + x^2 = 12^2

64+ x^2 =144

Subtract 64 from each side

x^2 = 144-64

x^2 =80

Take the square root of each side

sqrt(x^2) = sqrt(80)

x = sqrt(16*5)

x = 4 sqrt(5)

8 0

3 years ago

There are two circles in four squares what is the simplest ratio of circles to squares

Anit [1.1K]

Answer:

1:2

Step-by-step explanation:

2:4 can be simplified by dividing by 2

8 0

2 years ago

Someone please help me !!!

djverab [1.8K]

Answer:

$a.\ \ \ A=684\ m^2$

$b.\ \ \ A=130.2 \ km^2$

Step-by-step explanation:

a. Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

$Area=2(\frac{1}{2}bh), b=9, h=12\\\\=2\times \frac{1}{2}\times 9\times 12\\\\=108\ m^2$

#We then find the areas of the rectangular surfaces:

$A=lw\\\\=15\times 16+9\times 16+16\times 12\\\\=576\ m^2$

#We sum the areas to find the total surface areas:

$A=\sum{Areas_i}\\\\=108+576\\\\=684\ m^2$

Hence, the prism's surface area is $684\ m^2$

b.Area is calculated by summing the areas of the prism's individual surfaces.

#First, calculate the areas of the right-angled surfaces:

$A=2\times \frac{1}{2}bh,\ b=12, h=4.1\\\\=2\times 0.5\times 12\times 4.1\\\\=49.2 \ km^2$

#We then find the areas of the rectangular surfaces:

$A=lw\\\\=5\times 3+3\times 10+12\times 3\\\\=81\ km^2$

#We sum the areas to find the total surface areas:

$A=A_r+A_t\\\\=81+49.2\\\\=130.2 \ km^2$

Hence, the prism's surface area is $130.2 \ km^2$

5 0

3 years ago

Fill in missing numbers in chart. state the rule

tester [92]

On the left side, the blank is 22, but I am clueless on the right side

3 0

3 years ago

Read 2 more answers