7. A minor arc of a circle subtends an angle of 1059 at the centre of the circle. If the radius of the circle is 8.4 cm,
find the length of the major arc.
[tex]\pi = 22 \\ 7[/tex]
​

9514 1404 393

Answer:

  240

Step-by-step explanation:

The generic k-th term of the expansion of the binomial ...

  (a +b)^n

is given by ...

  (nCk)a^(n-k)b^k . . . . . where nCk = n!/(k!(n-k)!) and 0 ≤ k ≤ n

For this problem, we have ...

  a=2x, b=y, n=6, k=2

Then the 2nd term (counting from 0) is ...

  6C2×(2x)^4×y^2 = (6·5)/(2·1)·16x^4·y^2

  = 240x^4y^2

The desired coefficient is 240.

_____

Additional comment

The coefficients for the expansion match the numbers in a row of Pascal's triangle. The row beginning with 1, n will have the coefficients for the expansion to the n-th power.

Answer:

7y+2

Step-by-step explanation:

3y+5y=7y

5-3=2

Answer:0.5

Step-by-step explanation:

1/2 devide by 3 = 0.16666666666

0.16666666666 times 3 = 0.5

Answer:

$250 and 50 mugs

Step-by-step explanation:

690-440 then 250÷5 if that helps

Answer:

it should be the 2nd one... 1625.

Answer:

1625 feet

Step-by-step explanation:

if 1 inch = 250 feet.

you must multiply 6.5 by 250.

250 x 6.5 = 1625

Answers:

25c= 1/2

Then R3.50 is 3/50

Step-by-step explanations:

25c as a fraction is 25/50, so you have to simplify 25/50 to its simplest form , and you get the result of 1/2

For this you have to first  find the GCD (or HCF) of numerator and denominator. GCD of 3 and 50 is 1.

3 ÷ 150 ÷ 1.

Reduced fraction: 350. Therefore, 3/50 simplified to lowest terms is 3/50.

Answer:

2

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

let the first term be n

second term = 2 + n

third term = 3 + second term so we can conclude that the other term will be:

forth term = 4 + third term

fifth term = 5 + forth term etc.

eleventh term will be 11 + 10 term

based on observations the tenth term is 58 so

eleventh term= 11 + 58

= 69

Answer:

-2,3

Step-by-step explanation:

Answer:

BGC and FGE are cmplimentary so FGE = 45 degrees

Step-by-step explanation:

Answer:45,000,000,000 melons

Step-by-step explanation:

90,000,000,000-45,000,000,000=45,000,000,000

Answer:

3 ft/s

Step-by-step explanation:

The rate or speed of the remote control car, v = distance/time

Now, the distance travelled by the remote control car = 4/5 of a foot = 4/5 × 1 ft = 4/5 ft and the time it takes to cover this distance is 4/15 of a second = 4/15 × 1 s = 4/15 s.

So, v = distance/time

= 4/5 ft ÷ 4/15 s

= 4/5 ft × 15/4 s

= 3 ft/s

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

base = 7 units

height = 12 unit

Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]

                          [tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]

Answer:

You would have to have guess a number larger than 31500 and smaller than 38500

Step-by-step explanation:

The answer will look something like

35000 +/- 10% (35000)

What that means is that the attendance would be smaller than 35000 or larger than 35000.

10% * 35000 = 10/100 * 35000 = 350000 / 100 = 3500

So you would have to estimate

35000 - 3500 ≤ attendance ≤35000 + 3500

31500 ≤ attendance ≤ 38500

Answer:

Step-by-step explanation:

For each outcome there are

s!/(n!(s-n)!) combinations

where s is the number of selections and n is the number of specific outcomes

The probability of any specific outcome for 6 tosses of a coin is (1/2)^6

[(1/2)^6]*[(6!/6!)+(6!/(5!)+(6!/(4! 2!)+(6!/(3! 3!)]

(1/2)^6*(1+6+15+20)

42(1/2)^6

42(1/64)

42/64

21/32 which is 0.65625

0.656 (rounded to nearest thousandth)

Answer:

slope = 2

Step-by-step explanation:

Answer:

The first and the second equation is flipped... meaning you have to switch their places

Step-by-step explanation:

I think I did this before so good luck...

Answer: i just need the points, sorry

Step-by-step explanation:

Answer:

(3)

Step-by-step explanation:

Answer:

yes. the total when added together is $9.90, meaning that he has just enough for them to get a pizza and one drink each.

Step-by-step explanation:

6.90

1.50

1.50

9.90

Answer:

Yes, he has enough money.

Step-by-step explanation:

He will have .10 left over. The pizza is $6.90 and the drinks are $1.50 each.

1.50 + 1.50 = 3.00

6.90 + 3.00 = 9.90

He spends $9.90, so he will be 10 cents short of spending all of his lunch money. Therefore, he has enough money.

Answer:

2. 20

3. 9

4. 24

2.4(7-2)^1=4(5)=20

3.2(8-1)^0 + 7= 2×1 + 7= 2+7=9

4. 3×4 + 12= 12 + 12= 24

Answer: 8.94

Step-by-step explanation:

d = sqrt ((x2 - x1)^2+ (y2 - y1)^2)

d = sqrt (80)

d = 8.944272

x⁰ = 360 degree- ( 246⁰ + 66⁰)

= 360 degree- 312⁰

= 48 ⁰

Answer:

x = 114

Step-by-step explanation:

Remark

You are trying to figure out what the arc is in degrees. The arc formula is

Intersect angle = 1/2( the furthest arc - the smaller closer arc).

Givens

Intersect angle = 66 degrees

Closer arc = x

Further or largest Arc = 246

Solution

66 = 1/2 (246 - x)                  Multiply both sides by 2 and remove the brackets.

132 = 246 - x                        Subtract 246 from both sides.

132 - 246 = - x

- 114 = - x                             Multiply both sides by -1

-1 (-114) = -1 * (-x)

x = 114

Answer:

I don't know I am a babysitter too :)

Answer:

The answer is 30.

Step-by-step explanation:

Answer:

Miguel recaudó Bs 480.700.000 por la venta del pescado.

Step-by-step explanation:

Con la información proporcionada puedes calcular el dinero que recaudó en total por la venta del pescado multiplicando el precio de venta de cada kilo de pescado por el número de kilos que Miguel compró:

Número de kilos comprados=253

Precio de venta por kilo=1.900.000

Total vendido=253*1.900.000

Total vendido=480.700.000

De acuerdo a esto, la respuesta es que Miguel recaudó Bs 480.700.000 por la venta del pescado.