A circle has a sector with area 20\pi20π20, pi and central angle of \purple{\dfrac{2}{5}\pi}

5

2

​

πstart color #9d38bd, start fraction, 2, divided by, 5, end fraction, pi, end color #9d38bd radians .

What is the area of the circle?

Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answer:

0

Step-by-step explanation:

If ∑aₙ converges, then lim(n→∞)aₙ = 0.

Using ratio test, we can determine if the series converges:

If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.

If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|

lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|

lim(n→∞) |(100 / (n+1)|

0 < 1

The series converges.  Therefore, lim(n→∞)aₙ = 0.

Answer:it’s granola bars

Step-by-step explanation:

Rachel would need the most toy cars for 30 people.

If the patterns in the table and graph continue, Rachel would need the most toy cars for 30 people.

From the table, we can see that for every 10 guests, the number of party gifts is increasing by 5. So, for 30 guests, the number of party gifts would be 25.

From the graph, we can see that the number of guests is increasing linearly with a slope of 0.5. If the pattern continues, for 30 guests, the number of party gifts would be 25.

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Answer: D. Dividing

Step-by-step explanation:

When we divide a number ( whether fraction or not ) by a fraction, then we first change the operator to multiplication and  reciprocate the second fraction.

Let's take an example:

Suppose we have h division problem in fraction as [tex]\dfrac{2}{3}\div\dfrac{4}{9}[/tex]

Then, our first step would be to change division operator (÷) by multiplication operator (×) and then ×reciprocate the second fraction , so the next step will become [tex]\dfrac{2}{3}\times\dfrac{9}{4}[/tex] , Now cancel out 3 and 2 from both numerator and denominator , we get

[tex]\dfrac{1}{1}\times\dfrac{3}{2}=\dfrac{3}{2}[/tex]

i.e. [tex]\dfrac{2}{3}\div\dfrac{4}{9}=\dfrac{3}{2}[/tex]

Hence, the correct option is "D. Dividing".

The first step which involves changing the operator to multiplication of the reciprocal of the second fraction is when dividing.

If given

5/2 ÷ 1/2

The first step is to multiply with the reciprocal of the second fraction

= 5/2 × 2/1

= (5 × 2) / (2 × 1)

= 10/2

= 5

Therefore, when dividing fraction, we multiply with the reciprocal of the second fraction.

Learn more about division of fraction:

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Answer:

x = -11

Step-by-step explanation:

[tex]5(x-6)+2 = 7x-6\\5x -30 +2 = 7x - 6\\5x -28 = 7x -6 \\5x - 28 + 6 = 7x -6 +6 \\5x -22 = 7x\\5x -5x -22 = 7x - 5x\\-22 = 2x\\-22 / 2 = 2x / 2\\-11 = x[/tex]

Answer:

w=7

Step-by-step explanation:

Answer:

I want brainliest

Step-by-step explanation:

5w=35

w=7

The probability that the sum of two dice is 7 given that the purple die landed on 6 is 1/6, as only one outcome from the green die (rolling a 1) will achieve this sum.

The question is about calculating the conditional probability of rolling a sum of 7 on two dice, given that the purple die has already landed on 6. Since we know the outcome of the purple die, we only need to determine the probability that the green die will land on a 1 to make the sum 7 (6 from the purple die and 1 from the green die).

There are 6 possible outcomes when rolling a six-sided die. Since only one of these outcomes (rolling a 1) will result in the sum of 7 when the purple die is a 6, the conditional probability is 1/6.

Answer:

(6,-3)

Step-by-step explanation:

Answer:

(6,3)

Step-by-step explanation:

so the rule of a reflection over y axis is:

(-x,y)

since x=-6

(--6,-3)

(6,-3) is the new point

if its an reflection over the x axis(which is not the case here) then it would be:

(x,-y)

Answer:

12

Step-by-step explanation:

To find the mean, we add up all the numbers and divide by the number of numbers

(19+ 12+9+ 6+ 12+ 8+ 18+ 12+ 14+ 10)/10

120/10

12

Answer:

the mean to this problem is 12

Step-by-step explanation:

19+2+9+6+12+8+18+12+14+10= 120

120/10=

12

Answer:

the answer is 3

Step-by-step explanation:

Answer:

The percentage of people that scored less than Calvin is 38.21 %

Step-by-step explanation:

In this question, we are concerned with calculating the percentage of exam scores lesser than what Calvin scores.

To calculate this, we first need to calculate the standard score or the z-score of Calvin result.

Mathematically;

z = (x - mean)/SD

from the question, x = 78, mean = 81 and SD = 10

Substituting this, we have

z = (78 -81)/10 = -3/10 = -0.3

So we proceed to calculate the probability.

P(x < 78) or P(z < -0.3)

We make use of the standard table to get this probability

P(z< - 0.3) = 0.38209

In percentage, this is same as 38.209% or more simply 38.21%

Step-by-step explanation:

Velocity = Displacement/Time

a) Velocity in m/s = 3600m/6s

= 600m/s

b) (Converting m into km)

1000m = 1km

3600m = ?

3600/1000 = 3.6km

(Converting secs to hours)

1mins = 60secs

60mins = ?

60 * 60 = 3600 secs

This means there are 3600 secs in 1 hour

3600secs = 1hour

6.0 secs = ?

6.0/3600 = 0.00167 hours (approximately)

Velocity in km/h = 3.6km/0.00167h

= 2155.69km/h (approximately)

In summary...

a) 600m/s

b) 2155.69km/h

The bullet's velocity is 600 meters per second (m/s) and also 2,160 kilometers per hour (km/h), calculated by dividing the distance traveled by the time taken and converting the units accordingly.

To find out the bullet's velocity in meters per second (m/s), you'll need to use the formula for velocity which is distance traveled divided by the time taken. Here, the bullet traveled 3,600 meters in 6.0 seconds.

Velocity in m/s = Distance / Time
Velocity in m/s = [tex]\frac{3600}{6}[/tex]
Velocity in m/s = 600 m/s

For velocity in kilometers per hour (km/h), first convert meters to kilometers by dividing by 1,000 and then convert seconds to hours by dividing by 3,600 (the number of seconds in an hour).

Velocity in km/h =[tex]\frac{ (Velocity in m/s x 3,600) }{1000}[/tex]
Velocity in km/h = [tex]\frac{(600 m/s x 3,600) }{1000}[/tex]
Velocity in km/h = 2,160,000 / 1,000
Velocity in km/h = 2,160 km/h

Therefore, the bullet's velocity is 600 m/s and 2,160 km/h.

Answer:

Step-by-step explanation:

How many meters longer is 3 meters than 3 yards?

Yard to meter

The difference:

Answer:

0.279

Step-by-step explanation:

3 meters = 3.279 yards

~Subtract to find the difference

3.279 - 3 = 0.279

As you can see, 3 meters if larger than 3 yards.

Best of Luck!

Answer:

[tex]1 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]7 \div 6 \\ = 1.167 = 1 \frac{1}{6} [/tex]

Kevin can cut approximately 2 pieces of 14-inch-long trim from his 3-foot-long trim, with about 0.66667 feet left over.

To find out how many 14-inch-long pieces Kevin can cut from a 3-foot-long trim, we need to convert everything to the same unit. Since Kevin's trim is given in feet, we need to convert inches to feet to make the comparison easier.

[tex]1 foot = 12 inches[/tex]

So, 14 inches is equal to:

[tex]\[14 \text{ inches} \times \frac{1 \text{ foot}}{12 \text{ inches}} = \frac{14}{12} \text{ feet}\][/tex]

[tex]\[= 1.16667 \text{ feet}\][/tex]

Now, we can find out how many 14-inch-long pieces Kevin can cut from the 3-foot-long trim:

[tex]\[ \text{Number of pieces} = \frac{\text{Length of trim}}{\text{Length of each piece}} \][/tex]

[tex]\[ \text{Number of pieces} = \frac{3 \text{ feet}}{1.16667 \text{ feet}} \][/tex]

[tex]\[ \text{Number of pieces} \approx 2.571 \][/tex]

Now, let's find out how much of a foot will be left over:

[tex]\[ \text{Leftover} = \text{Length of trim} - (\text{Number of pieces} \times \text{Length of each piece}) \][/tex]

[tex]\[ \text{Leftover} = 3 \text{ feet} - (2 \times 1.16667 \text{ feet}) \][/tex]

[tex]\[ \text{Leftover} = 3 \text{ feet} - 2.33333 \text{ feet} \][/tex]

[tex]\[ \text{Leftover} \approx 0.66667 \text{ feet} \][/tex]

Complete correct question:

Kevin is making a picture frame. He has a piece of trim that is 3 feet long.

How many 14-inch-long pieces can Kevin cut from the trim?

How much of a foot will he have left over?

Kevin can cut ______ 14-inch-long pieces with ______ of a foot left over.

Answer:14

Step-by-step explanation:

Final answer:

Joel must play at least 15 games to earn the remaining 501 tickets he needs for the prize at the arcade, after subtracting the 284 tickets he already has from the total 785 required.

Explanation:

Joel needs to accumulate a certain number of tickets to win a prize at the arcade. We can approach this problem by calculating the total number of tickets he still needs and then dividing that number by the amount of tickets he can earn per game.

Step-by-Step Calculation:

Let's execute these steps:

Answer:

Zero and thirty four thousandths

Step-by-step explanation:

Answer:

4, because CR and RA are the same length

Answer:

Just cross muiltiply

Step-by-step explanation:

3   4

-     -    =   8     (POP Theorem)

6    x

Converse of Theorem 5-6: If a line divides two sides of a triangle proportionally, it is parallel to the third side.

You're welcome Ody$$eyware

Answer:

9,900 millimeters squared

Step-by-step explanation:

The area of the composite figure having bases 210mm, 150mm and height 55mm is ; 19800 millimeters squared.

A trapezoid is a quadrilateral with one pair of parallel sides.

Analysis:

Area of a trapezoid = 1/2(a + b )h

where a = small base, b = big base and h = height

From given data: a = 150mm, b = 210mm, h = 55mm

Area of trapezoid = 1/2(150+210) x 55 = 9900[tex]mm^{2}[/tex]

For the two trapezoids = 2 x 9900 = 19800[tex]mm^{2}[/tex]

In conclusion, the area of the two trapezoids is 19800[tex]mm^{2}[/tex]

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Answer:

18

Step-by-step explanation:

6 divided by 2 is 3, 3 to the power of 2 is 9, 9 times 4 is 36, 36 plus -18 is 18.

Answer:

18

Step-by-step explanation:

-18 + 4(6 ÷ 2)^2

PEMDAS says parentheses first

-18 + 4(3)^2

Then exponents

-18 + 4*9

Then multiply and divide

-18 +36

Then add and subtract

18

Answer:

12 1/2 yd^2

Step-by-step explanation:

The area is length times width

A = 3 3/4 * 3 1/3

Change to improper fractions

A = 15/4 * 10/3

Rewriting

A = 15/3 * 10/4

   = 5 * 5/2

   = 25/2

Changing back to a mixed number

   = 12 1/2

Answer:

12½ yards²

Step-by-step explanation:

Area = length × width

Area = 3¾ × 3⅓

= 15/4 × 10/3

= 25/2

= 12½ yards²

Answer:

length x width x height

Step-by-step explanation:

Answer:

Hope this helped stay safe!!

Step-by-step explanation:

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume.

Answer:

the answer is 3: 26x-19

Step-by-step explanation:

f(x)=4x-5 g(x)=6x-3

2f(x)+3g(x)

=2*(4x-5)+3*(6x-3)

=8x-10+18x-9

26x-19

Answer:

Calculating the numbers inside parentheses is first according to the order of operations.

Step-by-step explanation:

Order of operations

Answer: 2.85

Rounded to the nearest 0.01

2.85 rounded to the nearest hundredth is 2.85

Answer:

2.9

Step-by-step explanation:

Answer:

The equivalent equation is found by distributing the 1/4 to get 4 + 3x = 28

The first step is subtract 4 to both sides.

The second step is divide both sides by 3.

The answer is x = 8.

Step-by-step explanation:

Answer:

Divide by 1/4

Subtract

Divide

8

Step-by-step explanation:

Answer: A. -2.75

Step-by-step explanation: I took the test on edge

Answer:

the top righ andt doesn't belong to each other because the first antenna is at the left. equal means it needs to have a connection or its have to be absolutely the same. in this case the equal picture is not the same

Answer:

48 months

Step-by-step explanation:

Brandon estimates that he will need $18,000 each year to attend a 4-year college.

His family can pay $5,000 a year and he can get a student loan for $10,000 each year.

This means that, each year, $15000 out of the $18000 has been covered. That is the sum of the money from his parents and the loan:

$5000 + $1000 = $15000

That means the amount he still needs to cover per year is:

$18000 - $15000 = $3000

In 4 years, he will need to cover:

4 * $3000 = $12000

He saves $250 a month. Therefore, the number of months he will need to save $12000 is:

[tex]\frac{12000}{250} = 48 months[/tex]

He will need to save for 48 months to save the rest of the money he will need for College.

Answer: It will take him 48 months.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

the amount his family can pay per year (5000) multiplied by 4 (since is a 4 year college) ; plus the amount of the loan he gets per year (1000) also multiplied by 4 ; plus the amount he saves per month (250) multiplied by the number of months (m) must be equal to the amount he will need per year for college (18000) multiplied by 4.

Mathematically speaking

18000 x 4 = (5000 x 4) + (10000x 4) + 250 m

Solving for m

72000= 20,000+ 40,000+ 250m

72,000-20,000-40,000 = 250m

12,000= 250m

12,000/250 = m

48 =m

Feel free to ask for more if needed or if you did not understand something.