Find a positive angle less than 2pi that is coterminal with 28pi/9

The solution is Option D.

The sum of the arithmetic sequence is 5,490

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic progression be represented as S

Now , the number of terms n = 60

Let the first term be a₁ = 3n , when n = 1

a₁ = 3

Now , the second term a₂ = 3n , when n = 2

a₂ = 6

So , the common difference of the arithmetic sequence d = second term - first term

d = 6 - 3

d = 3

Now , the sum of the first n terms of the sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

S₆₀ = ( 60/2 ) [ 2 ( 3 ) + ( 60 - 1 ) ( 3 ) ]

On simplifying the equation , we get

S₆₀ = 30 [ 6 + 59 ( 3 ) ]

S₆₀ = 30 [ 6 + 177 ]

S₆₀ = 30 ( 183 )

S₆₀ = 5490

Therefore , the value of S is 5,490

Hence , the sum of the arithmetic sequence is 5,490

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Answer:

I would need the picture please

Step-by-step explanation:

Thank you! Let me know when you've added the question!

You can just give me the height and base.

Answer:

$14

Step-by-step explanation:

The total amount, C charged by an electrician for h hours of work is ;

C= 7h+125

If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:

From the equation :

C= 7h+125

The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.

For 2 more hours of work :

Additional amount = 7h ; h = 2

7h = 7 * 2 = 14

Hence, Mrs Sanchez pays $14 more.

Answer:

x = 7/6

Step-by-step explanation:

6x+5 = 12

Subtract 5 from each side

6x+5-5 = 12-5

6x = 7

Divide each side by 6

6x/6 = 7/6

x = 7/6

Answer:

x=7/6

Step-by-step explanation:

6x+5 = 12

subract 5 from both sides

6x = 7

divide by 6 on both sides

x=7/6

Answer:

A.20 ft

Step-by-step explanation:

the shadow is double the height of the object.

Answer:

Um 1408

Step-by-step explanation:

2% of 35,200 is 704 and 304*2= 1408

Answer:

36622.80

Step-by-step explanation:

I don't know how to do it I used an app on my phone

Answer:

A

Step-by-step explanation:

hope this helps

-2x - 8 > 14

add 8 to 14 and get 22

-2x > 22

then divide 22 by -2 and get x < -11

Answer:

5x2 + 20x + 32 = 0 - 16977324

Step-by-step explanation:

Answer:

84 bird feeders can be filled

Step-by-step explanation:

Considering there is 14 bags, all you'd have to do is see how many bird feeders can be filled... and to do that, just multiply 14 x 6, because it every bag fills up 6 feeders.  14 x6 =84 bird feeders can be filled.

Answer:

The first answer choice is correct

Step-by-step explanation:

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

Answer:

15 in.

Step-by-step explanation:

Volume of rectangular prism = length × width × height

Length = 30 in

Width = 20 in

Height = x

Volume of rectangular prism = 9000 in³

Volume of rectangular prism = length × width × height

9000 = 30 × 20 × x

9000 = 600x

x = 9000/600

x = 15 in

Answer:

15

Step-by-step explanation:

the formula of finding the volume of a rectangular prism is base times height. the base dimensions are 20*30 so its 600 square inches, 9000/600=15.

Answer:

V,cube = sidelength^3

V,cube = (1 cm)^3

V,cube = 1 cm^3

Since there are 20 ice cubes, V = 20 cm^3

V,cylinder = pi * r^2 * h

V,cylinder = 3.14 * 3.5^2 * 9

V,cylinder = 346.185 cm^3

This is the volume of mug when full.

Since 20 cm^3 is allotted for the ice cube, thus,

346.185 - 20 = 326.185 cm^3

Yes it's B.

Hope this helps~ `u`

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZZZZZZZ

Answer: B.) 19.6 feet.

Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.

Label: AC=6 ft,  m<A=73° and <C is a right angle.

Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.

Step-by-step explanation:

Answer:

i have tht too but i dont know the answrr :(

Step-by-step explanation:

Answer:

P

Step-by-step explanation:

The least absolute value is what number is closest to zero.

Answer:

c+2<1

Step-by-step explanation:

Since c is located slightly less than -1, and -1+2 = 1; then adding 2 to c would make it slightly less than 1.

Answer:

3240

Step-by-step explanation:

Sum=n/2(2a+(n-1)d)

=80/2(2*1+(80-1)1)

=40(2+79)

=40*81

=3240

Answer:

6480.

Step-by-step explanation:

This is an arithmetic series with  first term 2, last term 160 and common difference 2.

Sum = n/2 [ a1 + L)

= (80/2)(2 + 160)

= 40 * 162

= 6480.

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

It´s lll Because to make a congruent shape one angle should be 90 and the longest side should be 6 inches. one angle should equal angle ELM.

So, by AAS criteria it would be congruent.

---------------------------

hope it helps...

have a great day!!

Answer:

III. m∠MEL = 90°, m∠ELM = 30°, and LM = 6 inches

Step-by-step explanation:

hope it helps you...

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

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Answer:

4x - 3 = 37

+3         +3

4x = 40

Divide by 4 on both sides:

X = 10

Step-by-step explanation:

x=10

.......................

Answer:

Step-by-step explanation:

The general form for a geometric sequence is:

a

n

=

a

1

⋅

r

n

−

1

With this, you can write a system of equations:

a

2

=

a

1

⋅

r

2

−

1

a

5

=

a

1

⋅

r

5

−

1

2

=

a

1

⋅

r

1

0.25

=

a

1

⋅

r

4

r

4

r

1

=

0.25

2

r

3

=

0.125

r

=

0.5

Now, find the first term.

a

2

=

a

1

⋅

0.5

1

2

=

a

1

⋅

0.5

a

1

=

4

Using the formula stated above, we get:

a

n

=

4

⋅

0.5

n

−

1

Answer:

so the 2 questions i see are surveys so... you have to answer them with truth on your own self

Step-by-step explanation:

Answer:

hi i am the person that you are talking to with all the comments give him brainliest

Step-by-step explanation:

Answer:

$35

Step-by-step explanation:

multiply 35 by the number of weeks (6) to get $210, subtract $210 from $250 to get $35

Answer:

125 times ..................... but it's not their so c is correct

Answer:

D. 180 mm

Step-by-step explanation:

At the bottom of the shape, we can see the base is 60mm. The next side(left or right) is shown as 20mm. The next side right before the missing piece is 20mm. The width of the missing piece is 10mm. The length of the missing piece is 20mm because:

20 + 20 = 40

60mm - 40mm = 20mm

60mm + 20mm + 20mm + 10mm + 20mm + 10mm + 20mm + 20mm

180 mm