A square inscribed in a circle and centered at the origin has points at (2, 2), (- 2, 2), (2, -2) and ( -2, -2). What is the equation of the circle that circumscribes the square?
X^2+y^2=8 is the answer but why?

Image of spinner is attached.

Answer:

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Step-by-step explanation:

Given that the spinner contains 3 numbers: 1, 2, & 3.

A coin has 2 outcomes, a head & a tail.

Lets take,

P(A) = event of spining an odd number

P(B) = event of flipping heads

P(C) = event of spinning a 3

We now have:

P(A) = [tex] \frac{2}{3} [/tex]

P(B) = [tex] \frac{1}{2} [/tex]

P(C) = [tex] \frac{1}{3} [/tex]

They are all independent events

Probability of the compound event would be derived by multiplying all the events.

P= P(A) * P(B) * P(C)

[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]

Probability of the compound event is [tex] \frac{1}{9} [/tex]

Answer:

Using distance formula :

AB² = (5+1)² + (3-6)²

AB² = 36 + 9

AB² = 45

AB = 6.71 units

Answer:

Exact Form: x=7/9  Decimal Form: 0.7 (repeating)

Step-by-step explanation:

Hope this helps!! :)

Answer:

B < A < C < D

Step-by-step explanation:

We can easily order the numbers by using a shortcut. To do this, you just look at the exponents. The more negative the exponent, the lower the number is. The more positive the exponent is, the greater the number is.

Answer:

The answer is option 2.

Step-by-step explanation:

In a faster way to see this you can just look at the power :

A = -4

B = -6

C = 4

D = 5

B < A

A < C

C < D

So the order is B, A, C and D.

Answer:

Area, [tex]A=69.21\ \text{inches}^2[/tex]

Step-by-step explanation:

We have,

The diameter of a basketball is 9.39 inches.

It is required to find the number of square inches of material used in constructing a basketball. It means we need to find the area of basketball. It is given by :

[tex]A=\pi r^2[/tex]

r is radius of basketball, r = 4.695 inches

So,

[tex]A=3.14\times (4.695)^2\\\\A=69.21\ \text{inches}^2[/tex]

So, the area of the basketball is [tex]69.21\ \text{inches}^2[/tex].

Answer:

$9

Step-by-step explanation:

Let's make the price of toilet paper x, and the clorox wipes y.  We can then use the given information to create a system of equations.

Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!

2x+4y=36 (1)

x+3y=27 (2)

2x+6y=54 (3)  (i just mutiplied (2) by 2 so that i could eliminate x)

2y=18 (3)-(1)

y= $9/pack

Answer:

Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality

Step-by-step explanation:

First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.

Answer:

There are exactly 2 π radians in a full circle.

There are approximately 6.28  radians in a full circle.

2π radians is equivalent to  360  degrees.

Answer:

1 4 4

Step-by-step explanation:

Answer:

They are both correct in special cases of a rectangle and rhombuses

Step-by-step explanation:

A square is quadrilateral, with four equal sides and four equal interior angles of 90°

A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore,  a square is a special case of a rectangle with all the sides equal

A rhombus is also a equilateral quadrilateral with having equal opposite angle.

Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.

Answer:the slope is 20

Step-by-step explanation:

Answer:

m=20

Step-by-step explanation:

The line is in point slope form, or

y=mx+b

where m is the slope and b is the y-intercept

For the equation

y=20x

20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20

Answer: ok what do you need help with

Step-by-step explanation:

Answer:

[tex] \boxed{x = 8} [/tex]

Step-by-step explanation:

[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]

Answer:

De value of k is 9

Step-by-step explanation:

6,-1

b(1,3)

(k,8)

am using bodmas

a6-1×1=6a

b1×3=3b

abc=8

6a+3b+8=17-8

=9

The length of the third side of a right triangle is 35.7 m

"It is a triangle whose one of the angle measures 90° "

"It is the longest side of the right triangle."

"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]

where z is the hypotenuse and x, y are other two sides of the right triangle."

For given question,

We have been given the two sides of a right triangle.

leg = 29 m; hypotenuse = 46 m

Let 'a' be the other leg of the right triangle.

Using Pythagoras theorem,

[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]

Therefore, the length of the third side of a right triangle is 35.7 m

Learn more about the Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ2

Answer:

=8,364,018,845

Step-by-step explanation:

Mark me brainiiest.

Answer:

8364018845

Step-by-step explanation:

20+20+20+20+20+20+20 = 140

140+20893-2839283+93749-93+8366754439

Answer:

height = 5 ft

Step-by-step explanation:

The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.

Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:

6^2 = 3^2 + height^2

36 = 9 - height^2

height^2 = 27

height = 5.19 ft

Rounding to the nearest foot, we have height = 5 ft

Answer: 5

Step-by-step explanation:

Answer:

4/xt 3 sqaured

Step-by-step explanation:

Answer:

-5 5/8

Step-by-step explanation:

A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.

I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.

Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!

Answer:

Step-by-step explanation:

Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of  the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:

36 = 45- 3 x 3

54 = 45 + 3 x 3

Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ2

Answer:

39 feet

Step-by-step explanation:

plz give me brainliest >.<

Answer:

50%

Step-by-step explanation:

Hope it helps

Answer:

W(x) = $50 + ($14/hr)x

Step-by-step explanation:

hope this helped

Answer:

$3.78

Step-by-step explanation:

find 107%(100%=$54+7%=107%)

54*107/100= $57.78

find the amount of sale tax

57.78-54=$3.78

Answer:

4³=64

Step-by-step explanation:

A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.

Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).

》 4×4×4=64

We have the following information:

first urn: 6 green balls and 3 red ones

total: 6 + 3 = 9

second urn: 3 green, 3 white and 3 red

total: 3 + 3 + 3 = 9

third urn: 6 green, 1 white and 2 red

total: 6 + 1 + 2 = 9

a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.

b) probability of drawing a green, red and white ball.

first urn:

green = 6/9 = 66.66%

red = 3/9 = 33.33%

white = 0/9 = 0%

second urn:

green = 3/9 = 33.33%

red = 3/9 = 33.33%

white = 3/9 = 33.33%

third urn:

green = 6/9 = 66.66%

red = 2/9 = 22.22%

white = 1/9 = 11.11%

c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%

d) without a green ball, the third ballot box would look like this:

5 green balls, 2 red balls and 1 white ball, with a total of 8.

The probability of drawing would be:

green = 5/8 = 62.5%

red = 2/8 = 25%

white = 1/8 = 12.5%