Alice has two flying disks. One is 12 cm in diameter and the other is 24 cm in diameter. What is the difference between the areas of the two flying disks?

Answers

Answer 1

Answer:

432π cm² or 1356.48 cm²

Step-by-step explanation:

The area of a circle is πr²

The area of the disks are 144π and 576π.

576π-144π = 432π

432π ≈ 1356.48 cm²

Answer 2
Final answer:

To find the difference in areas of two circles, calculate the area of each circle using the formula πr² and then subtract the smaller area from the larger one. For Alice's discs with diameters 12 cm and 24 cm, the areas are 36π and 144π square cm respectively, and their difference is 108π square cm.

Explanation:

To find the difference in the areas of Alice's two flying disks, first we need to calculate the area of each disk. The formula for the area of a circle (or disk) is πr², where r is the radius of the circle. The radius is half of the diameter, so for the first disk, the radius is 6 cm and for the second disk, the radius is 12 cm.

The area of the first disk is π*(6 cm)² = 36π square cm. The area of the second disk is π*(12 cm)² = 144π square cm. The difference between these two areas is 144π - 36π = 108π square cm.

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Related Questions

Has anyone did the storm tracker portfolio worksheet?

Answers

Final answer:

The 'Storm Tracker Portfolio Worksheet' likely entails exercises related to tracking weather systems, and this can be part of a geography or earth science curriculum in high school. It seeks to enrich students' understanding of weather systems, including Space Weather such as Sun storms.

Explanation:

Given that your query refers to a 'Storm Tracker Portfolio Worksheet,' it's presumed that this refers to lessons on tracking weather patterns and phenomena, linking to geography and earth science. In this context, it's important to note that these activities usually entail analyzing and predicting weather system developments, including storms brought about by  Space Weather such as those on the Sun.

The 'Storm Tracker Portfolio Worksheet' may include exercises like noting down storm paths, examining storm frequencies, interpreting storm system scenarios, among others. The ultimate goal of this exercise is to deepen students' comprehension of how weather systems and various atmospheric conditions affect our planet.

Each person's worksheet may differ based on their geographical location and the specific details needed to be observed and outlined at a given time. It would be helpful to refer to the instruction set provided along with your worksheet to understand what is required of you and what to look out for when completing the worksheet.

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Which number has the least absolute value? A) 30 B) 10 C) −20 D) −40

Answers

Answer:-40

Step-by-step explanation:

Because that means below 0

Answer:

10

Step-by-step explanation:

Someone help me with the diagram below!!

Answers

The answer to your question is E

If two lines have different slopes, they cannot have an infinite number of solutions.

A. Always
B. Sometimes
C. Never

Answers

Never due to if they have different slopes they can only have 1 solution.

Find the circumference of the circle. Round your answer to the nearest hundredth.

Answers

Answer:

25.13

Step-by-step explanation:

C=2πr

C=2 x 3.14 x 4

C= 25.13

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.

A circle is shown. The circle is cut into 8 equal pieces. Pieces of the circle with radius r are rearranged to create a shape that resembles a parallelogram.

Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure?

A = (2πr)(r)
A = (2πr)(2r)
A =One-half(2πr)(r)
A =One-half(2πr)(r2)

Answers

Answer:

A =One-half(2πr)(r)

Step-by-step explanation:

i got it right!

The approximate representation of the area of a parallelogram like figure is as follows:

A = 1 / 2 (2πr) (r)

The circle is cut into 8 equal pieces and used to create a shape that resembles a parallelogram.

Properties of a parallelogramOpposite sides are equal and parallelopposite angles are equaldiagonal bisect each other

Circumference of a circle is the perimeter of the circle.

circumference = 2πr

Area of parallelogram = bh

Where

b = base

h = height

Therefore,

A = 1 / 2 (2πr) (r)

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The future perfect tense is__________.

will happen
is happening
will have happened
should happen

Answers

Will happen is the correct answer hope i help:)

Answer:

it's will have happened

Step-by-step explanation:

I got it right

If the diagonal of a square is approximately 12.73, what is the length of its sides?

Answers

Answer:

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

[tex]D^{2} = L^{2} + L^{2}[/tex]

Solving further, we have

[tex]D^{2} = 2L^{2}[/tex]

Divide both sides by 2

[tex]\frac{D^{2}}{2} = \frac{2L^{2}}{2}[/tex]

[tex]\frac{D^{2}}{2} = L^2[/tex]

Take Square root of both sides

[tex]\sqrt{\frac{D^{2}}{2}} = \sqrt{L^2}[/tex]

[tex]\sqrt{\frac{D^{2}}{2}} = L[/tex]

Reorder

[tex]L = \sqrt{\frac{D^{2}}{2}}[/tex]

Now, the value of L can be calculated by substituting 12.73 for D

[tex]L = \sqrt{\frac{12.73^{2}}{2}}[/tex]

[tex]L = \sqrt{\frac{162.0529}{2}}[/tex]

[tex]L = \sqrt{{81.02645}[/tex]

[tex]L = 9.001469325[/tex]

[tex]L = 9.0015[/tex] (Approximated)

Hence, the length of the sides of the square is approximately 9.0015

Select the correct answer. What are the intercepts of y = 4x − 2?

Answers

x-intercept(s):  (1/2, 0) or (0.5, 0)

y-intercept(s):  (0,  −2)

You and TWO of your closest friends went to a restaurant for dinner. The bill came to $25.60. You want to split the bill EQUALLY and leave a 20% tip. How much does each person owe? (Show Work.)

A: $5.12
B: $8.53
C: $10.24

Answers

Answer:

C

Step-by-step explanation:

Since they left a tip of 20% you find 20% of 25.60, and then add it to 25.60.

You add 5.12 and 25.60 because it was a tip, they gave that much more.  

So 20% which is 5.12.  

25.60 + 5.12 = 30.72

since there were 3 people in total you just divide

30.72 / 3

= 10.24


Write this number in words.

8,400.9

Answers

Answer:

eight thousand four hundred and nine tenths

Hope this helps!

Helppppppppppp please am struggling

Answers

Answer:

x = 60°

Step-by-step explanation:

The circle is 360°, thus

2y + y = 360

3y = 360 ( divide both sides by 3 )

y = 120°

The tangent- secant angle ABT is one half the measure of the intercepted arc AB, thus

x = 0.5 × 120° = 60°

A student saves $15 per week toward the purchase of a guitar. Her grandmother gives her $50 to help her reach her goal, which function can be used to find the amount in dollars the student has saved after x weeks?

Answers

Answer:

Function: y= 15x + 50

or f(x)=15x+50

Answer:

f(x)=15x+50

Step-by-step explanation:

since her grandmother gave her $50 once you just add it to the problem, and she's collecting $15 every week meaning 15x.

Find area of a circle that has a diameter of 8 m

Answers

Diameter \ 2 = radius
8/2 = 4
4^2 = 16
16*pi is about 50.27
Your area is 50.27m^2

Answer:

50.24 m^2

Step-by-step explanation:

Area of a circle = Pi r^2

Pi = 3.14

Diameter = 8 m

Radius r = diameter/2 = 8/2

= 4

Therefore

Area = 3.14 x 4^2

= 3.14 x 4 x 4

= 50.24 m^2

The polynomial x3 + 4x2 - 9x - 36 has 4 terms.
Use factoring by grouping to find the correct
factorization

Answers

Answer:

x2(x+4)-9(x+4)

Step-by-step explanation:

=(x2-9)(x+4)

Answer: D or (x²– 9)(x + 4).

The next one is A (difference-of-squares)

The last one is C (x + 3)(x – 3)(x + 4)

Step-by-step explanation: Edge '21

It takes 0.25 hours to complete each test lession. Make a table showing how long 3, 7, 9, and 12 lessions take. Give the constant of proportionality and write an equation that relates the time (t) to the number of sessions (s).

Answers

Answer:

1            0.25

2            0.50

3            0.75

5            1.25

7            1.75

9            2.25

11            2.75

12           3.00

t=0.25s

Find the value of the coefficient a in the equation ax+2y=8, if the solution to the equation is the pair x=2 and y=1.

Answers

Answer:

a = 3

Step-by-step explanation:

Simply substitute 2 for x and y for 1 and solve.

This will get you 2a + 2 = 8

Then simplifying, 2a = 6.

a = 3.

The value of a and the coefficient of x is 3.

What is substitution?

Substitution means putting numbers in place of letters to calculate the value of an expression .

According to the given question.

We have a equation.

ax + 2y = 8.

Also, the solution to the equation is (2, 1).

So, substitute x = 2 and y = 1 in the equation ax + 2y = 8.

⇒ [tex]a(2) + 2(1) = 8[/tex]

⇒ [tex]2a + 2 = 8[/tex]

⇒ [tex]2a = 8-2[/tex]   ( subtracting 2 from both the sides)

⇒ [tex]2a = 6[/tex]

⇒ [tex]a = \frac{6}{2}[/tex]    (dividing both the sides by 2)

⇒ [tex]a = 3[/tex]

Hence, the value of a and the coefficient of x is 3.

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How do you solve for mass if KE=0.5mv^2

Answers

Answer:

Step-by-step explanation:

We want to isolate m in the formula KE=0.5mv^2.  To do this, divide both sides by 0.5v^2:

               KE

m = ----------------------

                 v^2

Solve x2 − 24x = −80 by completing the square.

What is the solution set of the equation?

{2, 40}
{4, 20}
{5, 16}
{8, 10}

Answers

Answer:

{4, 20}

Step-by-step explanation:

x2 − 24x = −80

divide -24 by 2  and square result   get 144

x^2 - 24x  + 144 =  -80 + 144

(x - 12)^2  =  64

x - 12 = root (64)

x = 12 + 8  or  x = 12 - 8

x = 20 or 4

The solution set of the considered quadratic equation x^2 − 24x = −80 is given by: Option B: {4,20}

What is completing the squares method for solving the quadratic equations in one variable?

The method "completing the squares", as per the name suggests, try to make the quadratic equation of the form such that the x variable is totally covered in single squared term, as the square of a linear expression in x.

The quadratic equation would look something like:

(px + q)^2 = s

where p, q and s are some constants.

We do so, so that we can then use square root and some other operations to get the variable 'x' on one side of the equation, and all the constants on the other side, being solution of the considered  quadratic equation.

Expressing the quadratic equation in such form converts the form of the equation which contains 'x' with different powers in different term to a form which contains 'x' single time.

What is the expansion of square of sum of two terms?

Suppose that two terms are 'a' and 'b'.

Then, their sum's square is expanded as:

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

For this case, the equation considered is :

[tex]x^2 -24x = -80[/tex]

Comparing the left side with [tex]a^2 + 2ab + b^2[/tex], we see that we can use a = x.

Let we try to make the considered equation look more like the equation  [tex]a^2 + 2ab + b^2[/tex] .

[tex]x^2 -24x = -80\\x^2 -2(12)x = -80\\x^2 -2(12)x + 12^2 -12^2 = -80\\x^2 -2(12)x + 12^2 = -80 + 12^2 = 64\\[/tex]

Now, we can use [tex](a+b)^2 = a^2 + 2ab + b^2[/tex] for the left sided expression, as shown below:

[tex]x^2 -2(12)x + 12^2= 64\\\\(x-12)^2 = 64[/tex]

Taking square root, we get:

[tex]\sqrt{(x-12)^2} = \sqrt{64}\\\\(x-12) = \sqrt{(\pm 8)^2} = \pm 8\\or\\\\x = 12 \pm 8\\x = 12+8, x = 12-8\\x = 20, x = 4[/tex]

Thus, the solution set of the considered quadratic equation x^2 − 24x = −80 is given by: Option B: {4,20}

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Need help really bad

Answers

Answer:

10

Step-by-step explanation:

just add

Answer:

When xy are zero multiply by 1.33 and we will find y only if x =70

So the linear function will be

y =  90/0 = 0    =   y = x/0

y =   90/2 = 2    =   y = x/2

y =    90/4 = 4   =  y = x/4

y =    90/8 = 6   = y = x/8

x=90  y = 60 when both = 0

Or we can reverse and do x2+2 and call train f(x) and train = x = 90.

Step-by-step explanation:

70/90 = 0.77  =  70 x 1.33 = 90 as a fraction percentage 77%

60/45= 1.33  =  70 x 1.33 = 90 / 2 = 45   ( and as 22.5 as a fraction percentage 133/3%)

50/22.5=2.22  =  70 x 1.33 = 90/4 = 22.5 as a fraction percentage  222.2%

40/11.25=3.55 =  70 x 1.33 = 90 /8 = 11.25  as a fraction percentage= 355.5%

Number of solutions of quadratic equations

Answers

The number is always 2, the type depends on the discriminant.

How to find the number of solutions of a quadratic equation?

For a general quadratic equation:

ax² + bx + c = 0

We can define the discriminant as:

D = b² - 4ac

And we can have 3 cases:

if D > 0, the quadratic equation has 2 real solutions.

if D = 0, the quadratic has two (equal) real solutions.

if D < 0, the quadratic has 2 complex solutions.

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Based on the angle measures in the diagram, what is the value of x?​

Answers

The answer is c if I’m correct

Answer:

32°

Step-by-step explanation:

Since the outer angle is 99°, the interior angle must be 180° - 99°. That is 81°. We then do the same for the outer angle 113°. So 180° - 113° is 67°. Since the angles of the interior angles must equal 180°, we add 81° and 67°. That equals 148°. Now to figure out x, 180° - 148° is 32°. I hope this helps! Please mark me brainliest!

A jar contains five blue marbles and three red marbles. Suppose you choose a marble at​ random, and do not replace it. Then you choose a second marble. Find the probability of the following event.
Both of the selected marbles are red.

Answers

Answer:

The probability that both of the selected marbles are red is [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

Given

Number of red marbles = 3

Number of blue marbles = 5

Required

Probability of selecting two red marbles (without replacement).

First, we need to get the total number of marbles

Total = Red Marbles + Blue Marbles

Total = 3 + 5

Total = 8

Probability is calculated by: Number of required outcome divided by number of possible outcome.

Since there are 3 red marbles out of a total of 8 marbles;

The probability that the first marble you selected is red is 3/8

From the question, you didn't return the marble back to the container.

This means that, there are 2 red marbles and a total of 7 marbles left in the container.

So, the probability that the next marble selected is red is 2/7

Let P(R and R) represent the probability of selecting two red marbles.

This is calculated by multiplying the probability of picking the first red marble and the second red marble.

Hence,

P(R and R) = [tex]\frac{3}{8} * \frac{2}{7}[/tex]

P(R and R) = [tex]\frac{6}{56}[/tex] --- Reduce to lowest term

P(R and R) = [tex]\frac{3}{28}[/tex]

Hence, the probability that both of the selected marbles are red is [tex]\frac{3}{28}[/tex]

which of the following values is between 7 and 8

Answers

Answer

7.5 is between 7 and 8
the exact middle would be 7.5 because 7+8/2= 7.5

does a vertical stretch make a graph narrower or wider?

Answers

Answer:

narrower

Step-by-step explanation:

300 mi /20 sec = ? Mi /1 min

Answers

Answer:

900

Step-by-step explanation:

To get your answer, you can just multiply 20 seconds by 3 to get 60 seconds, which is a minute.

Since whatever you do on one side you have to do to the other, multiply 300 mi by 3 as well. That would get you 900.

What is the rate of change of the linear function? Thanks! :)

Answers

Answer:

-3/4 or -0.75

Step-by-step explanation:

You go down 6, over 8.

6/8=3/4

It's a negative slope, so the rate of change is -3/4 or -0.75.

If the interest rates are the same on a CD, which compounding pays more interest?
annually
semi-annually
monthly
quarterly

Answers

Monthly, because your value goes up every month.
Final answer:

The CD that compounds more frequently will pay more interest; thus, monthly compounding yields more interest than quarterly, which in turn is more than semi-annually, with annual compounding paying the least.

Explanation:

When comparing the different compounding frequencies for a Certificate of Deposit (CD) with the same annual interest rate, the compounding option that pays more interest is the one that compounds more frequently. Compounding can occur on an annual, semi-annual, quarterly, or monthly basis. The more frequently the interest is compounded, the greater the amount of interest will be earned because each compounding period, the interest is calculated on the initially invested amount plus the previously earned interest.

For example, if interest is compounded monthly, it will be compounded 12 times a year, and each month's interest will begin to earn interest in subsequent months. Similarly, if interest is compounded quarterly, it will be compounded 4 times a year, and semi-annually compounding will occur twice a year. The least frequent is annually compounding, with only one compound per year.

Therefore, the CD that compounds monthly will pay the most interest, followed by the one that compounds quarterly, then semi-annually, and the least will be the CD that compounds annually, assuming the nominal interest rate is the same for all.

4) Dan had 199 dollars to spend on 7 books. After
buying them he had 17 dollars. How much did each book cost?

Answers

Answer:

The answer is that each book costs 26 dollars

Step-by-step explanation:

First we subtract 199 dollar from 7 =182

Then we divide 182 dollars to the seven book in order to find a unit =182/7=26

To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.

In one year, Angelica's height went from 52 inches to 56 inches what was the percent of increase in Angelica's height

Answers

Answer: 7.7%

Step-by-step explanation: First find the increase in height by subtracting 52 from 56. 56-52=4.

To find what percent this is of 52, divide 4 by 52. 4/52=0.0769. Then convert this from a decimal to a percent by multiplying by 100. 0.0769*100=7.69.

I just rounded it to the nearest tenth, you can change it how you need to.

Final answer:

The percent of increase in Angelica's height over one year, from 52 inches to 56 inches, is approximately 7.69%.

Explanation:

The student is asking how to calculate the percent of increase in height over a one year period. We start by finding the initial and final measurements, then calculate the increase and convert it to a percentage.

Angelica's initial height is 52 inches, and her final height after one year is 56 inches. The increase in height is 56 inches - 52 inches, which equals 4 inches. To find the percent increase, use the formula:

Percent increase= (Increase / Original amount) x 100

So, the calculation is

Percent increase= (4 / 52) x 100 = 7.69%

Therefore, the percent increase in Angelica's height is approximately 7.69%.

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