Find the total surface area of this cuboid

Answer:

We get tₙ: [tex]\mathbf{t_n=an}[/tex]

10th term is [tex]t_{10}=10a[/tex]

Step-by-step explanation:

The given arithmetic sequence is: a,2a,3a

We need to find tₙ and tenth term

Finding tₙ

The formula used is: [tex]t_n=t1+(n-1)d[/tex]

We need to find d, the common difference

a₁ = a

a₂ = 2a

We can find common difference using the formula:

[tex]t_n=t_1+(n-1)d\\Put\:n=2\\t_2=t_1+(2-1)d\\2a=a+d\\d=2a-a\\d=a[/tex]

So, we get common difference d = a

Now, finding tₙ

[tex]t_n=t_1+(n-1)d\\t_n=a+(n-1)a\\t_n=a+an-a\\t_n=an[/tex]

So, we get tₙ: [tex]\mathbf{t_n=an}[/tex]

Now, finding 10th term

By putting n=10 in the equation [tex]t_n=an[/tex]

[tex]t_n=an\\Put\:n=10\\t_{10}=a(10)\\t_{10}=10a[/tex]

So, 10th term is 10a

Answer :

(1) The radius of a circle is 1.5 m.

(2) The diameter of a circle is 28 ft.

(3) The radius of a circle is 10 in.

(4) The circumference of circle is 47.14 m.

(5) The circumference of circle is 44 yd.

Step-by-step explanation :

Part 1:

Given: d = 3 m

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{3m}{2}=1.5m[/tex]

The radius of a circle is 1.5 m.

Part 2:

Given: r = 14 ft

Now we have to determine the diameter of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Diameter of a circle = [tex]Radius\times 2[/tex]

Diameter of a circle = [tex]14ft\times 2=28ft[/tex]

The diameter of a circle is 28 ft.

Part 3:

Given: d = 20 in

Now we have to determine the radius of circle.

As we know that:

Radius of a circle = [tex]\frac{Diameter}{2}[/tex]

So,

Radius of a circle = [tex]\frac{20in}{2}=10in[/tex]

The radius of a circle is 10 in.

Part 4:

Given: d = 15 m

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

where,

C = circumference

d = diameter

So,

[tex]C=\frac{22}{7}\times 15m[/tex]

[tex]C=47.14m[/tex]

The circumference of circle is 47.14 m.

Part 5:

Given: r = 7 yd

Now we have to determine the circumference of circle.

Formula used:

[tex]C=\pi d[/tex]

or we can write,

[tex]C=\pi (2\times r)[/tex]

where,

C = circumference

d = diameter

r = radius

So,

[tex]C=\frac{22}{7}\times (2\times 7yd)[/tex]

[tex]C=44yd[/tex]

The circumference of circle is 44 yd.

Answer:

x = 17 m

Step-by-step explanation:

The dimensions of the rectangular ceiling are 15 m by 8 m

We need to find the length of the string of lights need to be to reach from one corner of the ceiling to the opposite corner. Let it is x.

We need to find the diagonal of the rectangular ceiling. It can be calculated using Pythagoras theorem.

[tex]x^2=15^2+8^2\\\\x^2=225+64\\\\x^2=289\\\\x=\sqrt{289}\\\\x=17\ m[/tex]

So, the length of the string of lights is 17 m.

Answer: −

-4x^2-5x+10

Step-by-step explanation:

Answer: -4x^2 -5x + 10

Step-by-step explanation:  

Simplify the expression.

Answer:

4

Step-by-step explanation:

Answer:

they are directly proportional

so

5/22*7=1.59

he would finish in 1.59 min

Answer:

Step-by-step explanation:

First Page

1.) 66 white beads

2.) 192 people

3.)

4.) 9 students

That's for the first page

Second Page

2.) 4:1

3.) 2:3

4.) Make 5 grey circles and one white circle

5.) make 6 grey circles and 3 white circles

6.)

Pencil 2; Sticker 3

Pencil 4; Sticker 6

Pencil 6; Sticker 9

Pencil 8; Sticker 12

7.)

Blue 5; Silver 1

Blue 10; Silver 2

Blue 15; Silver 3

Blue 20; Silver 4

Answer:

SAs bro I really just need points to ask my question. PLEASE I am struggling so hard rn. be a real one

Answer:

Answer:1.) I chose coin A and B

2.) Coin: B Value: $40 Annual rate: %5

Coin: A Value: $25 Annual rate: %7

3.) Coin: A P: 25 R: 1.07 Function: v = 25(1.07)^t

Coin: B P: 40 R: 1.05 Function: v = 40(1.05)^t

4.) Base: 1+r Initial: P Exponent: t

If R increased, then P would also increase because you must distribute, and you would be distributing R into P there for if R changes then so would P.

5.) Coin A: Initial value: $25 10 years: $25.70 20 Years: $26.40 30 years: $27.10 60 years: $29.20

Coin B: Initial value: $40 10 years: $40.50 20 years: $41 30 years: $41.50 60 years: $43

Coin C: Initial value: $60 10 years: $60.40 20 years: $60.80 30 years: $61.50 60 years: $62.40

6.) Coin A because the value goes up the most and I probably wouldn't be able to keep the coin for more than 60 years because I would lose it.

Answer:

AB=8

Step-by-step explanation:

First, you get figure out x. Since both sides are equal, use the equation x+3=2x-2, then subtract x from both sides, 3=x-2, and then add 2 to both sides, x=5. Then use one of the equations to get the length of the side, I used x+3=8, which is your answer.

(hope this helps :P)

Answer:

I think 3x doesn't belong because it is the only positive number.

I think -5x doesn't belong because it is the only one without a 3.

I think -3 doesn't belong because it is the only one without an x.

I think -3x² doesn't belong because it is the only one with an exponent.

Step-by-step explanation:

Just use one of the ones above!

(hope this helps!)

Answer:

;-;

Step-by-step explanation:

Answer:

um ‍♀️‍♀️‍♀️‍♀️

Step-by-step explanation:

50words-1 minute

500words- x minute

500÷50=10

Answer:

10 hours to make 30 kilograms

Answer:

42 and a half

Step-by-step explanation:

17÷2 = 8.5x5= 42.5(42 and a half)

Answer:

42.5 hours

Step-by-step explanation:

If she spent 17 hours I’m 2 weeks and she practiced for 5 weeks, do 17 x 2 and you will get 34 the extra week 17/2 which is 8.5 add those 2 up and you get 42.5 hours she spent there (does that make sense? sorry if it doesn’t)

Answer:

13.5

Step-by-step explanation:

equilateral triangle (all sides are equal) thus, if one side is 4.5 u will need to take 4.5x3=13.5

Well let me help.

For the first Question, the question is asking for the perimeter of the plot so assuming the plot is a rectangle, the perimeter will be (2*3)+(2*4.3)

=6+8.6

=14.6km.

Question 2

The problem involves finding the perimeter of the triangular garden. since the garden is an equilateral triangle, the perimeter will be thrice the side given ("equilateral" means "equal sided triangle"). So the answer will be 3*4.5

= 13.5 km.

Question 3

Same type of question as Q2 but this type is isosceles triangle (only two equal sides with one being different)

So the perimeter will be (2*15)+20

=30+20

=50km.

I hope this'll help

Answer:

the width is 21 feet  

Step-by-step explanation:

because if each inch is equal to 3 feet 7x3=21 so its 21 feet yw have a great day

Answer:

14

Step-by-step explanation:

always subtract the highest number from the lowest and I believe that is your range

Answer:

14

Step-by-step explanation:

Answer:

<B=105°

Step-by-step explanation:

as it's an isosceles trapezoid. AD parallel to BC

ACCORDING TO THE QUESTION

75°+<B=180°

<B=180°-75°

<B=105°

Answer:

12e - 6f - 8

Step-by-step explanation:

(a+b)*c = a*c + b*c

6e * 2 -3f * 2 -4 * 2

Answer:

160cm³

Step-by-step explanation:

square based means equal sides

therefore 4cm×4cm=16cm²

16cm²×10cm=160cm³

Answer:

5 DVD's

Step-by-step explanation:

So Basically It means the 25$ a month Plan is the same if you pay

5 DVD's

Ok each DVD costs 3$ and if you buy 5 of them you just bought 15 bucks worth of DVD's plus the membership which is 10$ in which the equation is

3(x)+10=25

X=5 by the way

So Basically it means if you Buy 5 DVD's plus the member ship thats the same money as the 25$ a month deal for unlimated DVD's

Simplified version: 5 DVD's

Answer:

4 x 45=180

32 x 2.5=80

180+80=260

so $260 is the correct answer

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

N means that numbered term. If n is 1 then you are getting the first term, and so on.

So for the 12th term, n=12.

5(12)-9 = 60-9 = 51

Answer:

51

Step-by-step explanation:

please mark me as brainliest!!

Answer:

depends

Step-by-step explanation:

Answer:

4: 300

5: 95

have a good day :]

9514 1404 393

Answer:

Step-by-step explanation:

The missing side is found using the Pythagorean theorem:

  X = √(37^2 -22^2) = √885 ≈ 29.7 . . . feet

The missing angle is found using the cosine relation:

  Cos = Adjacent/Hypotenuse

  cos(x) = 22/37

  x = arccos(22/37) ≈ 53.5°

_____

The posted question asks for side length; the picture asks for angle.

Step-by-step explanation:

[tex]4x + 7y = 41 \\ 4 \times ( - 7) + 7 \times ( - 16) = 41[/tex]

Answer:

3sqrt2

Step-by-step explanation:

If a side length is a, then a^2 + a^2 = 36

2a^2 = 36

a^2 = 18

a = 3sqrt2

Or, you can remember that in a square, if you cut it in half diagonally, you get a 45-45-90 triangle, so the sidenglth is diagonal/sqrt2