A square is inscribed in a circle. How much larger is the area of the circle than the area of the square?
ratio form

Answers

Answer 1

Answer:

π/2 : 1 or π : 2

Step-by-step explanation:

In the attachments I have a picture of a square inscribed in a circle.

Call the side of the square a. Therefore, the area of the square is a^2.

We can also see that the diagonal of the square is the circle's diameter.

Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.

We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.

Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.

A Square Is Inscribed In A Circle. How Much Larger Is The Area Of The Circle Than The Area Of The Square?

Related Questions

A passport consists of 2 letters followed by 2 digits. How many different passports can be formed?

Answers

67,600 different passwords can be formed.

26 x 26 x 10 x 10 = 67,600 (26 letters in the alphabet and 10 from 0-9)

These points are linear.
Find the slope.
X 3 4 5 6 7
y 0 9 18 27 36
slope = [?]

Answers

The linear slope of x1x2 y1y2 came out as 9

Alice is making bracelets to sell. She plans to put 12 beads on each bracelet. Beads are sold in packages of 20.

#1. What is the least number of packages she can buy to make bracelets and have no beads left over?

#2 If each package of beads costs $5.50, how much will the beads cost for her project?


Show and Explain your work
Hint: the “T” Method works well for show and explain. Make sure you have all of the details explained. If someone only read your explanation they should know… what the question is, all of the steps needed to answer the question and what your final answer is.

Answers

Answer:

question 1 is 60 beads and question 2 is 16 dollars and 50 cents.

Step-by-step explanation:

for question 1 the are asking for the lowest common denomonator (60)

for question 2 you devide 60/20 and multiply by 5.50

3 x 5.50 = 16.5$

An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin. Which is the equation of the ellipse in standard form?

Answers

Answer:

As Per Provided Information

An ellipse has a vertex at (0, −7), a co-vertex at (4, 0), and a center at the origin (0,0) .

We have been asked to find the equation of the ellipse in standard form .

As we know the standard equation of an ellipse with centre at the origin (0,0). Since its vertex is on y-axis

[tex] \underline\purple{\boxed{\bf \: \dfrac{ {y}^{2} }{ {a}^{2} } \: + \: \dfrac{ {x}^{2} }{ {b}^{2} } = \: 1}}[/tex]

where,

a = -7 b = 4

Substituting these values in the above equation and let's solve it

[tex] \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{ {( - 7)}^{2} } \: + \dfrac{ {x}^{2} }{ {(4)}^{2} } = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \dfrac{ {y}^{2} }{49} \: + \frac{ {x}^{2} }{16} = 1 \\ \\ \\ \qquad\sf \longrightarrow \: \: \dfrac{ {x}^{2} }{16} \: + \dfrac{ {y}^{2} }{49} = 1[/tex]

Therefore,

Required standard equation is /16 + /16 = 1

So, your answer is 2nd Picture.

Find the distance between Q and R

Answers

Answer:

Step-by-step explanation:

help I'm confused like always​

Answers

Answer:

negative

Step-by-step explanation:

The good part about this question is you don't have to know the actual values of b or c, otherwise, I would be stumped too.

Given:

b is within 0 -> 1 b is positive

c is within -1 -> -2, c is negative

[tex]\frac{b}{c}[/tex] = b/c. When you have a fraction and one numerator is positive while the denominator is negative (or visa-versa, numerator is negative and denominator is positive), then the answer will ALWAYS be negative

so +b/-c = negative result

The answer is negative the reciprocal of 1/-2 is -2/1 which just means -2 therefore the answer is negative

please help meeeeeeeee worth a bunch of points

Answers

Answer:

220

Step-by-step explanation:

first u gotta bla bla bla

Answer:

137°

Step-by-step explanation:

a straight line is 180°

x = 180 - (22 + 21)

x = 180 - 43

x = 137

For f(x) = 2x+1 and g(x) = y2 - 7, find (f+ g)(x).

Answers

Answer:

D

Step-by-step explanation:

When you look for (f+g)(x), we are in essence say that we're looking for f(x)+g(x)

=(2x+1)+(x^2-7).        (substitute for f(x) and g(x))

=2x+1+x^2-7.            (remove the brackets by substituting positive 1 into g(x))

=2x+x^2-6                (add like terms- in this case 1-7=6)

=x^2+2x-6                 (rearrange the equation)

What is the initial value & rate of change of the table

Weeks. Dollars
0. 10
2 20
4 30
6 40

Answers

Answer:

y = 10

rate of change = 5

Step-by-step explanation:

The initial value is the beginning output value, i.e. the y-value when x = 0

Therefore, the initial value is y = 10

rate of change = change in y ÷ change in x

⇒ rate of change = (40 - 30) ÷ (6 - 4)

                            = 10 ÷ 2

                            = 5

take two points : (0, 10), (2, 20)

rate of change:

[tex]\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\rightarrow \sf \dfrac{20-10}{2-0}[/tex]

[tex]\rightarrow \sf 5[/tex]

equation :

y - 10 = 5 ( x - 0 )

y = 5(x) + 10

so initial value:

y = 5(0) + 10

y = 10

40 feet in one hour = what speed in inches per second ​

Answers

Answer:

1728000

Step-by-step explanation:

40 feet is 480, then convert hour tom minute (times 60) then times 60 again to convert minute to second (times 60)

Hope this helps!

Becky is jumping on a trampoline. As he lands on the trampoline, his momentum carries him 2 feet below the trampoline, and he returns 0.4 seconds later to flat. What would be the a-value for this quadratic? Show work if possible

Answers

Answer:

becky got 2.4 lands and a quadratic is a possible

Step-by-step explanation:

2times 0.4 = 2.4

What is the volume of a rectangular prism that is 4 ft. by 12 ft. by 6 ft.? Question 21 options: 324 ft.³ 205 ft.³ 288 ft.³ 315 ft.³

Answers

Answer:

288 ft³

Step-by-step explanation:

The formula to find the volume of a rectangular prism is :

Volume = length × width × height

Let us find it now.

Volume = 4 ft × 12 ft × 6 ft

Volume = 48 ft² × 6 ft

Volume = 288 ft³

Help!!!
Rationalize the denominator of;
[tex]1) \frac{1}{ \sqrt{7} } [/tex]
[tex]2) \frac{2}{ \sqrt{3} - \sqrt{2} } [/tex]
[tex]3) \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } [/tex]

Answers

Answer:

see below for explanation:-

Step-by-step explanation:

#1

[tex] \displaystyle{ \frac{1}{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{1}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{7} }{7} }[/tex]

#2

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2}{ \sqrt{3} - \sqrt{2} } \times \frac{ \sqrt{3} + \sqrt{2} }{ \sqrt{3} + \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} }{( \sqrt{3} {)}^{2} - ( \sqrt{ 2 } {)}^{2} } }[/tex]

[tex]\displaystyle{ \frac{2( \sqrt{3} + \sqrt{2} ) }{3 - 2} }[/tex]

[tex]\displaystyle{2( \sqrt{3} + \sqrt{2} )}[/tex]

#3

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 2 \sqrt{18} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{ 9 + 2 \sqrt{9 \times 2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{9 + 6 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} + \sqrt{3} }{3(3 + 2 \sqrt{2}) } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } }[/tex]

[tex]\displaystyle{ \frac{3 \sqrt{6} - 2 \sqrt{12} + 3 \sqrt{3} - 2 \sqrt{6} }{3( {3}^{2} - (2 \sqrt{2} {)}^{2} ) } }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - 4 \sqrt{3} + 3 \sqrt{3} }{3(9 - 8)} }[/tex]

[tex]\displaystyle{ \frac{ \sqrt{6} - \sqrt{3} }{3} }[/tex]

Solve for d
Can you pls help me?

Answers

the answer to this question would be 3d-2=31 and d=11

I THINK ITS C BUT PLSS TELL ME IF IM RIGHT


Use a number line to find the value of:

eight tenths plus one eighth equals

A. eight tenths
B. one tenth
C. nine tenths
D. seven tenths

Answers

Answer:

it is .925 which is very close to 9/10 so C would be correct

Step-by-step explanation:

Answer:

0.925 so I would pick option C.

Find the vertex of this parabola:
y = -x2 + 6x – 15

Answers

[tex]y = - x {}^{2} + 6x - 15[/tex]

[tex]y {}^{ \gamma } = - 2x + 6[/tex]

[tex]y {}^{ \gamma } = 0[/tex]

[tex] - 2x + 6 = 0[/tex]

[tex] - 2x = - 6[/tex]

[tex]2x = 6[/tex]

[tex]x = 3[/tex]

Substitute x=3 in y=-x²+6x-15

[tex]y = - (3) {}^{2} + 6(3) - 15[/tex]

[tex]y = - 9 + 18 - 15[/tex]

[tex]y = - 9 + 3[/tex]

[tex]y = - 6[/tex]

Vertex: (3,-6)
hello!

[tex]==============================[/tex]

In order to find the vertex of a parabola, we use the following formula:

[tex]\mathfrak{\displaystyle\frac{-b}{2a} }[/tex]

Please remember that a parabola looks like this:

[tex]\tt{y=ax^2+bx+c}[/tex]

Now you know what a and b stand for.

In this case, a = -1, and b is 6:

[tex]\mathfrak{\displaystyle\frac{-6}{2(-1)} }[/tex]

Simplify:

[tex]\mathfrak{\displaystyle\frac{-6}{-2}}[/tex]

[tex]\mathfrak{3}\\=======================================[/tex]

Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is Power :)Answered by

[tex]\mathcal{DiAmOnD}\\\tt{A~Creative~Helper}}}}[/tex]

Rey and Adrian have 100 marbles altogether.Rey has 4 times as many as marbles as Adrian.How many marbles does each boy have?

Answers

Answer:

100

Step-by-step explanation:

4x of 100 is 400

Cuz Why Not Give 5 start + heart please cuz why not?

find the measure of angles 2, 3, and 4. input the measures then click done. i-ready

please help i missed a day of class i cant figure this out

Answers

Answer:

m∠2 = 95°

m∠3 = 85°

m∠4 = 95°

Step-by-step explanation:

Vertical Angle Theorem:

When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

Therefore,

m∠3 = 85°

m∠2 = m∠4

Linear pair:

Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.

Therefore,

85° + m∠2 = 180°

m∠3 + m∠4 = 180°

If  85° + m∠2 = 180°

⇒ m∠2 = 180° - 85°

m∠2 = 95°

As  m∠2 = m∠4  then  m∠4 = 95°

It’s from khan academy

B=10 H=8

Find the area of the parallelogram
Use the slider to help you remember the formula

Answers

Answer:

80

Step-by-step explanation:

area of parallelogram is b(vh)

A college is building a new basketball court that is 88 feet long and 40 feet wide, but the wood for the court comes only in 8-meter planks that are 10 centimeters wide. How many planks are needed to surface the court?​

Answers

Answer:

2816

Step-by-step explanation:

Cm to m is divide by 100

10 / 100 = 0.1.

0.1 x 8 = 0.8

40 x 88 = 3520

3520 / 0.8 = 2816

Kristy bought some rolls of wrapping paper and 2 bags of bows for less then $10. Each roll of wrapping paper and each bag of bows cost $1.50. Which inequality can be used to find w, the number of rolls of wrapping paper Kristy bought?

Answers

Answer:

[tex]w < 4 \frac{2}{3}[/tex]

Step-by-step explanation:

The inequality symbol for 'less than' is '<'.

Let's relate the cost and the number of each item bought together with an equation.

Total cost

= (number of rolls)(cost of each roll) +(number of bags)(cost per bag of bows)

= w(1.50) +2(1.50)

= 1.5w +3

Now, we can form the inequality.

Since the total cost is less than $10,

1.5w +3< 10

Subtract 3 from both sides:

1.5w < 10 -3

1.5w < 7

Divide both sides by 1.5:

[tex]w < 7 \div \frac{3}{2} [/tex]

[tex]w < 7 \times \frac{2}{3} [/tex]

[tex]w < \frac{14}{3} [/tex]

[tex]\textcolor{red}{w < 4 \frac{2}{3} }[/tex]

if you answer this question you will get 30 points

Answers

Answer:

2 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Step-by-step explanation:

1+1 is 2

Graph the circle (x+5)^2+(y+2)^2=4

Answers

(x+5)² + (y+2)² = 4

(x - x0)² + (y - y0)² = r²

with circle center point (x0 ; y0) and r for circle radius

so you have to place the point (- 5 ; - 2) and graph the circle with r = 2

What does 5/x = 7/x+2 equal?
Solve by cross multiplying.
(5 over x and 7 over x+2)

Answers

Answer:

I have no idea ask 567 9922 mathe teacher

Hey there!

[tex] \rm{\frac{5}{x} = \frac{7}{x + 2} }[/tex]

Solve:--

[tex] \sf\rightarrow \: (7)(x) = (5)(x + 2)[/tex]

[tex] \sf\rightarrow \: 7x = 5(x + 2)[/tex]

[tex] \sf\rightarrow \: 7x = 5x + 10[/tex]

[tex] \sf\rightarrow \: 7x - 5x= 5x + 10 - 5x[/tex]

[tex] \sf\rightarrow \: 2x= 10 [/tex]

[tex] \sf\rightarrow \: \frac{ 2x}{2}= \frac{10 }{2}[/tex]

[tex] \sf\rightarrow \: x= 5[/tex]

~Done~

If 35% of a number is 56 and 25% of the same number is 40 find 60% of that number

Answers

35%= 56

100%= 56÷35×100

100%= 160

25%= 40

100%= 40÷25×100

100%= 160

60%= 160÷100×60

60%= 96

6 cm
8 cm
13 cm
5.3 cm
-
What is the surface area?

Answers

Answer:

The surface area of what

pls try to send the image.

The height of a triangle is 4cm more than twice the length of the base.The area of the triangle is 35 square cm.Find the height of the triangle.​

Answers

Answer:

14cm

Step-by-step explanation:

Algebra is the way!

But seriously, let's model this algebraically.

We know the that the area of a triangle is represented by:

[tex]A = \frac{1}{2} base*height[/tex]

we'll use b and h to represent base and height

[tex]A = \frac{1}{2} b*h[/tex]

Okay, so you are given the area of the triangle already. It is [tex]35 cm^2[/tex]. SO you have:

[tex]35 = \frac{1}{2} bh[/tex]

Now here's the tricky bit of the question. You have 2 unknown variables, oh no! How will you solve? The key to this is simple, in a case where you have 2 or more unknown variables, ALWAYS think to yourself, "can I represent this variable in terms of another"?

In this case you can. They tell you what the height of the triangle is, in terms of the length of the base. They tell you, height is 4 cm more than 2 times the base.

So replace h in this equation with 2b + 4.

[tex]35 = \frac{1}{2} (b)(2b+4)\\\\35 = \frac{1}{2}(2b^2 + 4b)\\ 70 = 2b^2 + 4b\\0 = 2b^2 + 4b - 70\\0 = (2)(b^2 + 2b - 35)\\0 = (b +7)(b - 5)\\\\b = 5\\b\ \neq -7[/tex]

Okay, so you know the base of the triangle is 5 cm. The question asks for height, so what you're going to do is refer back to what h is.

We found that [tex]h = 2b + 4[/tex]

sub in 5 into that:

[tex]h = 2(5) + 4 = 14[/tex]

Therefore the height of the triangle is 14cm.

Answer:

Step-by-step explanation:

Givens

Area = 1/2 B* H

B = B

H = 2*B + 4

Area = 35

Solution

35 = 1/2 * B * (2B + 4)                          Multiply both sides by 2

35*2 = 2*(1/2) * B * (2B + 4)                 Combine

70 = B(2B + 4)                                      Remove the Brackets.

70 = 2B^2 + 4B                                    Subtract 70 from both sides.

2B^2 + 4B - 70 = 0                               Divide everything by 2

B^2 + 2B - 35 = 0                                 Factor

(B + 7)(B - 5)

B+7 = 0 will give a minus number. Geometry does not allow minus numbers.

B - 5  = 0

B = 5

But what you want is the height.

h = 2b + 4

h = 2*5 + 4

Answer: h = 14

what is the area of the triangle​

Answers

Answer:

6

Step-by-step explanation:

A=(bh)/2

a=(4*3)/2

a=12/2

a=6

Answer: 12 units 2

Step-by-step explanation:base times hight

How much will the storage container
hold?
7 ft.
5 ft.
10 ft.
10 ft.
3 ft.
1 ft.
4 ft.
4 ft.

Answers

Answer:

The container will hold 190 ft^3 of volume of substance.

if the question means it.

In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14 people are randomly selected, find the probability that at least 12of them have brown eyes.

Answers

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution:  X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore,  X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

              = 1 - 0.9993913226...

              = 0.000608677...

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